{"id":15993,"date":"2025-07-02T19:30:04","date_gmt":"2025-07-02T12:30:04","guid":{"rendered":"https:\/\/www.ckconitsha.com\/vn\/?p=15993"},"modified":"2025-07-03T01:04:46","modified_gmt":"2025-07-02T18:04:46","slug":"5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac","status":"publish","type":"post","link":"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/","title":{"rendered":"5+ Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i to\u00e1n so s\u00e1nh ph\u00e2n s\u1ed1 c\u1ef1c \u0111\u01a1n gi\u1ea3n ch\u00ednh x\u00e1c"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Ly_thuyet_so_sanh_phan_so_can_nam_vung\" >L\u00fd thuy\u1ebft so s\u00e1nh ph\u00e2n s\u1ed1 c\u1ea7n n\u1eafm v\u1eefng<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#So_sanh_cac_phan_so_cung_mau_so\" >So s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#So_sanh_cac_phan_so_cung_tu_so\" >So s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng t\u1eed s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#So_sanh_cac_phan_so_khac_mau\" >So s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 kh\u00e1c m\u1eabu<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Cac_phuong_phap_so_sanh_phan_so_can_nho\" >C\u00e1c ph\u01b0\u01a1ng ph\u00e1p so s\u00e1nh ph\u00e2n s\u1ed1 c\u1ea7n nh\u1edb<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_1_Dung_so_1_lam_trung_gian\" >Ph\u01b0\u01a1ng ph\u00e1p 1: D\u00f9ng s\u1ed1 1 l\u00e0m trung gian<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_2_Dung_mot_phan_so_lam_trung_gian\" >Ph\u01b0\u01a1ng ph\u00e1p 2: D\u00f9ng m\u1ed9t ph\u00e2n s\u1ed1 l\u00e0m trung gian<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_3_So_sanh_%E2%80%9Cphan_thua%E2%80%9D_cua_hai_phan_so\" >Ph\u01b0\u01a1ng ph\u00e1p 3: So s\u00e1nh \u201cph\u1ea7n th\u1eeba\u201d c\u1ee7a hai ph\u00e2n s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_4_So_sanh_%E2%80%9Cphan_thieu%E2%80%9D_cua_hai_phan_so\" >Ph\u01b0\u01a1ng ph\u00e1p 4: So s\u00e1nh \u201cph\u1ea7n thi\u1ebfu\u201d c\u1ee7a hai ph\u00e2n s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_5_Nhan_them_cung_mot_so_vao_hai_phan_so\" >Ph\u01b0\u01a1ng ph\u00e1p 5: Nh\u00e2n th\u00eam c\u00f9ng m\u1ed9t s\u1ed1 v\u00e0o hai ph\u00e2n s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_6_Thuc_hien_%E2%80%9Cphep_chia_hai_phan_so%E2%80%9D\" >Ph\u01b0\u01a1ng ph\u00e1p 6: Th\u1ef1c hi\u1ec7n \u201cph\u00e9p chia hai ph\u00e2n s\u1ed1\u201d<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Phuong_phap_7_Dao_nguoc_phan_so_de_so_sanh\" >Ph\u01b0\u01a1ng ph\u00e1p 7: \u0110\u1ea3o ng\u01b0\u1ee3c ph\u00e2n s\u1ed1 \u0111\u1ec3 so s\u00e1nh<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Bai_tap_so_sanh_hai_phan_so\" >B\u00e0i t\u1eadp so s\u00e1nh hai ph\u00e2n s\u1ed1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Bi_quyet_hoc_va_giai_bai_tap_so_sanh_cac_phan_so_hieu_qua\" >B\u00ed quy\u1ebft h\u1ecdc v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 hi\u1ec7u qu\u1ea3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.ckconitsha.com\/vn\/5-phuong-phap-giai-toan-so-sanh-phan-so-cuc-don-gian-chinh-xac\/#Ket_luan\" >K\u1ebft lu\u1eadn<\/a><\/li><\/ul><\/nav><\/div>\n<\/p>\n<p>So s\u00e1nh ph\u00e2n s\u1ed1 l\u00e0 m\u1ed9t trong nh\u1eefng d\u1ea1ng to\u00e1n ph\u00e2n s\u1ed1 m\u00e0 c\u00e1c em h\u1ecdc sinh l\u1edbp 4, th\u1eadm ch\u00ed c\u00e1c l\u1edbp l\u1edbn h\u01a1n v\u1eabn h\u1ecdc v\u00e0 l\u00e0m b\u00e0i t\u1eadp n\u00e0y. V\u1eady n\u00ean, \u0111\u1ec3 gi\u00fap c\u00e1c em c\u00f3 th\u1ec3 chinh ph\u1ee5c \u0111\u01b0\u1ee3c d\u1ea1ng to\u00e1n so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1, Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef s\u1ebd chia s\u1ebb nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i chi ti\u1ebft ngay sau \u0111\u00e2y.<\/p>\n<p>                                                                    <img decoding=\"async\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img_default\/monkey3.png\" alt=\"\"><\/p>\n<p class=\"title\">H\u00e0ng tri\u1ec7u tr\u1ebb em \u0111\u00e3 ph\u00e1t tri\u1ec3n kh\u1ea3 n\u0103ng ng\u00f4n ng\u1eef c\u1ee7a m\u00ecnh th\u00f4ng qua c\u00e1c \u1ee9ng d\u1ee5ng h\u1ecdc t\u1eadp c\u1ee7a Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef<\/p>\n<p class=\"description\">\u0110\u0103ng k\u00fd ngay \u0111\u1ec3 \u0111\u01b0\u1ee3c Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef t\u01b0 v\u1ea5n mi\u1ec5n ph\u00ed v\u1ec1 s\u1ea3n ph\u1ea9m v\u00e0 l\u1ed9 tr\u00ecnh h\u1ecdc cho con.<\/p>\n<p>                                                                            *Vui l\u00f2ng ki\u1ec3m tra l\u1ea1i h\u1ecd t\u00ean<\/p>\n<p>                                                                            *Vui l\u00f2ng ki\u1ec3m tra l\u1ea1i S\u0110T<\/p>\n<p>                                                                                Th\u00e0nh th\u1ea1o 2.000+ t\u1eeb &amp; 6.000 c\u00e2u ti\u1ebfng anh<br \/>\n                                                                                Ph\u00e1t tri\u1ec3n to\u00e0n di\u1ec7n 4 k\u1ef9 n\u0103ng ti\u1ebfng anh<br \/>\n                                                                                Gi\u1ecfi To\u00e1n &#8211; ti\u1ebfng Anh theo ph\u01b0\u01a1ng ph\u00e1p hi\u1ec7n \u0111\u1ea1i<br \/>\n                                                                                Ph\u00e1t tri\u1ec3n EQ &amp; kh\u1ea3 n\u0103ng ti\u1ebfng Vi\u1ec7t<\/p>\n<p>                                                                                *B\u1ea1n ch\u01b0a ch\u1ecdn m\u1ee5c n\u00e0o!<\/p>\n<p>                                                                    \u0110\u0103ng K\u00fd T\u01b0 V\u1ea5n Mi\u1ec5n Ph\u00ed<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ly_thuyet_so_sanh_phan_so_can_nam_vung\"><\/span>L\u00fd thuy\u1ebft so s\u00e1nh ph\u00e2n s\u1ed1 c\u1ea7n n\u1eafm v\u1eefng<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">Kh\u00f4ng \u0111\u01a1n thu\u1ea7n nh\u01b0 so s\u00e1nh c\u00e1c s\u1ed1 t\u1ef1 nhi\u00ean, \u0111\u1ec3 so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 th\u00ec c\u00e1c em c\u1ea7n ph\u1ea3i n\u1eafm v\u1eefng l\u00fd thuy\u1ebft sau \u0111\u00e2y:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/so-sanh-phan-so-1.jpg\" alt=\"Vi\u1ec7c n\u1eafm r\u00f5 l\u00fd thuy\u1ebft khi so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 r\u1ea5t quan tr\u1ecdng. (\u1ea2nh: S\u01b0u t\u1ea7m internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"So_sanh_cac_phan_so_cung_mau_so\"><\/span>So s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng m\u1eabu s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Khi so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng m\u1eabu s\u1ed1, th\u00ec:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 t\u1eed s\u1ed1 b\u00e9 h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 b\u00e9 h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 t\u1eed s\u1ed1 l\u1edbn h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 l\u1edbn h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">T\u1eed s\u1ed1 c\u1ee7a hai ph\u00e2n s\u1ed1 b\u1eb1ng nhau th\u00ec hai ph\u00e2n s\u1ed1 b\u1eb1ng nhau<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5:\u00a0 1\/2 &gt; 1\/4; 2\/7 &lt; 2\/5; 5\/6 = 5\/6<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"So_sanh_cac_phan_so_cung_tu_so\"><\/span>So s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u00f9ng t\u1eed s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Khi so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u00f3 c\u00f9ng t\u1eed s\u1ed1, th\u00ec:<\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">M\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 n\u00e0o b\u00e9 h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 s\u1ebd l\u1edbn h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">M\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 n\u00e0o l\u1edbn h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 s\u1ebd b\u00e9 h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">N\u1ebfu m\u1eabu s\u1ed1 c\u1ee7a 2 ph\u00e2n s\u1ed1 b\u1eb1ng nhau th\u00ec so s\u00e1nh t\u1eed s\u1ed1.<\/p>\n<\/li>\n<\/ul>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: 1\/2 &gt; 1\/4; 2\/7 &lt; 2\/5; 5\/6 = 5\/6<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"So_sanh_cac_phan_so_khac_mau\"><\/span>So s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 kh\u00e1c m\u1eabu<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">\u0110\u1ec3 so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 kh\u00e1c m\u1eabu th\u00ec ta s\u1ebd th\u1ef1c hi\u1ec7n theo c\u00e1c c\u00e1ch sau \u0111\u00e2y:<\/p>\n<p dir=\"ltr\"><em>C\u00e1ch 1: Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 hai ph\u00e2n s\u1ed1 r\u1ed3i so s\u00e1nh t\u1eed s\u1ed1.<\/em><\/p>\n<p dir=\"ltr\">Xem chi ti\u1ebft b\u00e0i c\u00e1c c\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp quy \u0111\u1ed3ng m\u1eabu s\u1ed1<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 2\/3 v\u00e0 5\/7<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3 m\u1eabu s\u1ed1 chung l\u00e0 21<\/em><\/p>\n<p dir=\"ltr\"><em>Quy \u0111\u1ed3ng m\u1eabu s\u1ed1 hai ph\u00e2n s\u1ed1 ta c\u00f3<\/em><\/p>\n<p dir=\"ltr\"><em>2\/3 = (2\u00d77)\/(3\u00d77) = 14\/21;<\/em><\/p>\n<p dir=\"ltr\"><em>5\/7 = (5 \u00d7 3) \/ (7\u00d73) = 15\/21<\/em><\/p>\n<p dir=\"ltr\"><em>Ta th\u1ea5y hai ph\u00e2n s\u1ed1 14\/21 v\u00e0 15\/21 \u0111\u1ec1u c\u00f3 m\u1eabu s\u1ed1 l\u00e0 21 v\u00e0 14 &lt; 15 n\u00ean 14\/21 &lt; 15\/21<\/em><\/p>\n<p dir=\"ltr\"><em>V\u1eady: 2\/3 &lt; 5\/7<\/em><\/p>\n<p dir=\"ltr\">C\u00e1ch 2: Quy \u0111\u1ed3ng t\u1eed s\u1ed1<\/p>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #F8CAC6\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%\">Tr\u01b0\u1eddng h\u1ee3p hai ph\u00e2n s\u1ed1 c\u00f3 m\u1eabu s\u1ed1 kh\u00e1c nhau nh\u01b0ng s\u1ed1 r\u1ea5t l\u1edbn, c\u00f9ng t\u1eed s\u1ed1 nh\u1ecf th\u00ec ta c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng c\u00e1ch quy \u0111\u1ed3ng t\u1eed s\u1ed1 \u0111\u1ec3 so s\u00e1nh d\u1ec5 h\u01a1n. C\u0169ng t\u01b0\u01a1ng t\u1ef1 nh\u01b0 c\u00e1ch 1, \u0111\u1ec3 so s\u00e1nh 2 ph\u00e2n s\u1ed1 kh\u00e1c t\u1eed s\u1ed1 th\u00ec ta c\u00f3 th\u1ec3 quy \u0111\u1ed3ng t\u1eed s\u1ed1 r\u1ed3i so s\u00e1nh c\u00e1c m\u1eabu s\u1ed1 c\u1ee7a hai ph\u00e2n s\u1ed1 m\u1edbi.<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1: 21\/23 v\u00e0 31\/85<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3: th\u1eeba s\u1ed1 chung l\u00e0 6.<\/em><\/p>\n<p dir=\"ltr\"><em>Khi quy \u0111\u1ed3ng t\u1eed s\u1ed1 hai ph\u00e2n s\u1ed1 ta c\u00f3<\/em><\/p>\n<p dir=\"ltr\"><em>2\/123 = (2\u00d73) \/ (123\u00d73) = 6\/369;<\/em><\/p>\n<p dir=\"ltr\"><em>3\/185 = (3\u00d72) \/ (185\u00d72) = 6\/370<\/em><\/p>\n<p dir=\"ltr\"><em>L\u00fac n\u00e0y ta th\u1ea5y, hai ph\u00e2n s\u1ed1 6\/369 v\u00e0 6\/370 \u0111\u1ec1u c\u00f3 t\u1eed s\u1ed1 l\u00e0 6<\/em><\/p>\n<p dir=\"ltr\"><em>\u0110\u1ed3ng th\u1eddi 369 &lt; 370 n\u00ean 6\/369 &gt; 6\/370<\/em><\/p>\n<p dir=\"ltr\"><em>V\u1eady 2\/123 &gt; 3\/185<\/em><\/p>\n<p dir=\"ltr\">\u0110\u1ec3 so s\u00e1nh hai ph\u00e2n s\u1ed1 ngo\u00e0i c\u00e1ch quy \u0111\u1ed3ng t\u1eed ho\u1eb7c m\u1eabu s\u1ed1. T\u00f9y m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p c\u1ee5 th\u1ec3, \u0111\u1eb7c \u0111i\u1ec3m c\u1ee7a ph\u00e2n s\u1ed1 \u0111\u1ec3 m\u1ecdi ng\u01b0\u1eddi c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p ri\u00eang.<\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Cac_phuong_phap_so_sanh_phan_so_can_nho\"><\/span>C\u00e1c ph\u01b0\u01a1ng ph\u00e1p so s\u00e1nh ph\u00e2n s\u1ed1 c\u1ea7n nh\u1edb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp so s\u00e1nh ph\u00e2n s\u1ed1, c\u00e1c em c\u00f3 th\u1ec3 \u00e1p d\u1ee5ng ngay nh\u1eefng ph\u01b0\u01a1ng ph\u00e1p sau \u0111\u00e2y:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/so-sanh-phan-so-2.jpg\" alt=\"C\u00f3 nhi\u1ec1u ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ec3 gi\u1ea3i to\u00e1n so s\u00e1nh 2 ph\u00e2n s\u1ed1. (\u1ea3nh: S\u01b0u t\u1ea7m internet)\" width=\"100%\"><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_1_Dung_so_1_lam_trung_gian\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 1: D\u00f9ng s\u1ed1 1 l\u00e0m trung gian<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #F8CAC6\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">N\u1ebfu a\/b &gt; 1\u00a0 v\u00e0 c\/d &lt; 1 th\u00ec a\/b &gt; c\/d<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\">\u1ede ph\u01b0\u01a1ng ph\u00e1p n\u00e0y, ta s\u1ebd s\u1eed d\u1ee5ng s\u1ed1 1 l\u00e0m trung gian khi th\u1ea5y ph\u00e2n s\u1ed1 n\u00e0y t\u1eed s\u1ed1 l\u1edbn h\u01a1n m\u1eabu s\u1ed1 v\u00e0 ph\u00e2n s\u1ed1 kia c\u00f3 t\u1eed s\u1ed1 b\u00e9 h\u01a1n m\u1eabu s\u1ed1.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 2017\/2018 v\u00e0 2016\/2015<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 2017\/2018 &lt; 1 v\u00e0 2016\/2015 &gt; 1 n\u00ean 2017\/2018 &lt; 2016\/2015<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_2_Dung_mot_phan_so_lam_trung_gian\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 2: D\u00f9ng m\u1ed9t ph\u00e2n s\u1ed1 l\u00e0m trung gian<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Ta s\u1ebd d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p d\u00f9ng m\u1ed9t ph\u00e2n s\u1ed1 l\u00e0m trung gian \u0111\u1ec3 so s\u00e1nh hai ph\u00e2n s\u1ed1 kia. C\u00f3 hai tr\u01b0\u1eddng h\u1ee3p s\u1ebd x\u1ea3y ra:<\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 1: N\u1ebfu t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 n\u00e0y nh\u1ecf h\u01a1n t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 kia, c\u00f9ng m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 n\u00e0y l\u1edbn h\u01a1n m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 kia.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 15\/37 v\u00e0 18\/31<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>C\u00e1ch 1:\u00a0\u00a0<\/em><\/p>\n<p dir=\"ltr\"><em>X\u00e9t ph\u00e2n s\u1ed1 trung gian 15\/31 (Ta th\u1ea5y t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 n\u00e0y l\u00e0 t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t, c\u00f9ng m\u1eabu s\u1ed1 l\u00e0 m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 hai).<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 15\/37 &lt; 15\/31 v\u00e0 15\/31 &lt; 18\/31 n\u00ean 15\/37 &lt; 18\/31<\/em><\/p>\n<p dir=\"ltr\"><em>C\u00e1ch 2: <\/em><\/p>\n<p dir=\"ltr\"><em>X\u00e9t ph\u00e2n s\u1ed1 trung gian 18\/37 (Ta l\u1ea5y t\u1eed s\u1ed1 l\u00e0 t\u1eed s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 hai, c\u00f3 m\u1eabu s\u1ed1 l\u00e0 m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 th\u1ee9 nh\u1ea5t).<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 18\/31 &gt; 18\/37 v\u00e0 18\/37 &gt; 15\/37 n\u00ean 18\/31 &gt; 15\/37<\/em><\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 2: N\u1ebfu t\u1eed v\u00e0 m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 n\u00e0y b\u00e9 h\u01a1n t\u1eed v\u00e0 m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 kia, nh\u01b0ng c\u1ea3 hai g\u1ea7n b\u1eb1ng nhau v\u1edbi m\u1ed9t ph\u00e2n s\u1ed1 n\u00e0o \u0111\u00f3 th\u00ec ta c\u00f3 th\u1ec3 ch\u1ecdn \u0111\u00f3 l\u00e0m ph\u00e2n s\u1ed1 trung gian.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 3\/8 v\u00e0 4\/13<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta th\u1ea5y c\u1ea3 hai ph\u00e2n s\u1ed1 3\/8 v\u00e0 4\/13 \u0111\u1ec1u g\u1ea7n b\u1eb1ng 1\/3. N\u00ean ta c\u00f3 th\u1ec3 ch\u1ecdn 1\/3 l\u00e0m ph\u00e2n s\u1ed1 trung gian. Ta c\u00f3:<\/em><\/p>\n<p dir=\"ltr\"><em>3\/8 &gt; 3\/9 = 1\/3 n\u00ean 3\/8 &gt; 1\/3 (1);<\/em><\/p>\n<p dir=\"ltr\"><em>4\/13 &lt; 4\/12 == 1\/3 n\u00ean 4\/13 &lt; 1\/3 (2);<\/em><\/p>\n<p dir=\"ltr\"><em>T\u1eeb (1) v\u00e0 (2) suy ra: 3\/8 &gt; 4\/13<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_3_So_sanh_%E2%80%9Cphan_thua%E2%80%9D_cua_hai_phan_so\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 3: So s\u00e1nh \u201cph\u1ea7n th\u1eeba\u201d c\u1ee7a hai ph\u00e2n s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #F8CAC6\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">N\u1ebfu 1\/b = m + M; c\/d = m + N m\u00e0 M &gt; N th\u00ec a\/b &gt; c\/d<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\">Theo \u0111\u00f3, M v\u00e0 N theo th\u1ee9 t\u1ef1 s\u1ebd \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 \u201cph\u1ea7n th\u1eeba\u201d so v\u1edbi m c\u1ee7a hai ph\u00e2n s\u1ed1. L\u00fac n\u00e0y ta s\u1ebd d\u00f9ng \u201cph\u1ea7n th\u1eeba\u201d n\u00e0y \u0111\u1ec3 so s\u00e1nh hai ph\u00e2n s\u1ed1 theo c\u00e1c tr\u01b0\u1eddng h\u1ee3p sau:<\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 1: N\u1ebfu c\u1ea3 hai ph\u00e2n s\u1ed1 \u0111\u1ec1u c\u00f3 t\u1eed l\u1edbn h\u01a1n m\u1eabu, hi\u1ec7u c\u1ee7a t\u1eed v\u00e0 m\u1eabu s\u1ed1 c\u1ee7a hai ph\u00e2n s\u1ed1 \u0111\u1ec1u b\u1eb1ng nhau th\u00ec ta s\u1ebd so s\u00e1nh \u201cph\u1ea7n th\u1eeba\u201d so v\u1edbi 1 c\u1ee7a hai ph\u00e2n s\u1ed1 \u0111\u00f3.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 79\/76 v\u00e0 86\/83<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3:<\/em><\/p>\n<p dir=\"ltr\"><em>79\/76 = 1 + 3\/76;<\/em><\/p>\n<p dir=\"ltr\"><em>86\/83 = 1 + 3\/83<\/em><\/p>\n<p dir=\"ltr\"><em>v\u00ec 3\/76 &gt; 3\/83 n\u00ean 79\/76 &gt; 86\/83<\/em><\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 2: ph\u00e2n s\u1ed1 c\u00f3 \u201cph\u1ea7n th\u1eeba\u201d so v\u1edbi 1 kh\u00e1c nhau, ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 ph\u1ea7n th\u1eeba l\u1edbn h\u01a1n th\u00ec suy ra ph\u00e2n s\u1ed1 \u0111\u00f3 c\u0169ng s\u1ebd l\u1edbn h\u01a1n.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 43\/14 v\u00e0 10\/3<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta ti\u1ebfn h\u00e0nh l\u1ea5y t\u1eed chia cho m\u1eabu s\u1ed1: 43 : 14 = 3 ( d\u01b0 1), 10:3 = 3 (d\u01b0 1).<\/em><\/p>\n<p dir=\"ltr\"><em>Ta ch\u1ecdn ph\u1ea7n nguy\u00ean c\u1ee7a k\u1ebft qu\u1ea3 th\u01b0\u01a1ng l\u00e0m s\u1ed1 chung l\u00e0 3<\/em><\/p>\n<p dir=\"ltr\"><em>Ti\u1ebfn h\u00e0nh th\u1ef1c hi\u1ec7n ph\u00e9p tr\u1eeb: 43\/14 &#8211; 3 = 1\/14; 10\/3 \u2013 3 = 1\/3<\/em><\/p>\n<p dir=\"ltr\"><em>L\u00fac n\u00e0y ta c\u00f3: 43\/14 = 3 + 1\/14; 10\/3 = 3 + 1\/3. V\u00ec 1\/3 &gt; 1\/14 n\u00ean 43\/14 &lt; 10\/3<\/em><\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 3: N\u1ebfu c\u1ea3 hai ph\u00e2n s\u1ed1 \u0111\u1ec1u c\u00f3 t\u1eed s\u1ed1 b\u00e9 h\u01a1n m\u1eabu s\u1ed1, n\u1ebfu l\u1ea5y m\u1eabu s\u1ed1 chia cho t\u1eed s\u1ed1 \u1edf c\u1ea3 2 ph\u00e2n s\u1ed1 th\u00ec ta s\u1ebd c\u00f3 k\u1ebft qu\u1ea3 b\u1eb1ng nhau.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 13\/41 v\u00e0 19\/71<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>\u0110\u1ea7u ti\u00ean, ta s\u1ebd l\u1ea5y m\u1eabu s\u1ed1 chia cho t\u1eed s\u1ed1 l\u00e0: 41:13=3 (d\u01b0 2);\u00a0 71:19=3 (d\u01b0 14).<\/em><\/p>\n<p dir=\"ltr\"><em>Ti\u1ebfp theo, ch\u1ecdn m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 chung b\u1eb1ng c\u00e1ch l\u1ea5y ph\u1ea7n nguy\u00ean c\u1ee7a th\u01b0\u01a1ng c\u1ed9ng s\u1ebd l\u00e0<\/em><\/p>\n<p dir=\"ltr\"><em>1 : 3 + 1 = 4 (c\u00f3 1\/4)<\/em><\/p>\n<p dir=\"ltr\"><em>Th\u1ef1c hi\u1ec7n ph\u00e9p tr\u1eeb: 13\/41\u22121\/4 = 11\/164 v\u00e0 19\/71 \u2013 1\/4 = 5\/284<\/em><\/p>\n<p dir=\"ltr\"><em>V\u1eady ta c\u00f3: 13\/41 = 1\/4 + 11\/164 v\u00e0 19\/71 = 1\/4 + 5\/284<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec: 5\/284 &lt; 11\/284 &lt; 11\/164 n\u00ean 19\/71 &lt; 13\/41<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_4_So_sanh_%E2%80%9Cphan_thieu%E2%80%9D_cua_hai_phan_so\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 4: So s\u00e1nh \u201cph\u1ea7n thi\u1ebfu\u201d c\u1ee7a hai ph\u00e2n s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #F8CAC6\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%;text-align: center\">Tr\u01b0\u1eddng h\u1ee3p a\/b = m \u2013 M; c\/d = m \u2013 N m\u00e0 M &gt; N th\u00ec a\/b &lt; c\/d<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\">Theo \u0111\u00f3, M v\u00e0 N ch\u00ednh l\u00e0 \u201cph\u1ea7n b\u00f9\u201d hay \u201cph\u1ea7n thi\u1ebfu\u201d so v\u1edbi m c\u1ee7a 2 ph\u00e2n s\u1ed1 \u0111\u00f3.<\/p>\n<p dir=\"ltr\">V\u1eady n\u00ean, ta s\u1ebd d\u00f9ng ph\u1ea7n b\u00f9 n\u00e0y \u0111\u1ec3 so s\u00e1nh hai ph\u00e2n s\u1ed1 theo c\u00e1c tr\u01b0\u1eddng h\u1ee3p sau:<\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 1: N\u1ebfu c\u1ea3 2 ph\u00e2n s\u1ed1 \u0111\u1ec1u c\u00f3 t\u1eed nh\u1ecf h\u01a1n m\u1eabu v\u00e0 hi\u1ec3u c\u1ee7a m\u1eabu v\u00e0 t\u1eed c\u1ee7a c\u1ea3 hai \u0111\u1ec1u b\u1eb1ng nhau th\u00ec ta s\u1ebd so s\u00e1nh ph\u1ea7n b\u00f9 so v\u1edbi 1 c\u1ee7a c\u1ea3 hai ph\u00e2n s\u1ed1 \u0111\u00f3.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 42\/43 v\u00e0 58\/59<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3: 1 \u2013 42\/43 = 1\/43; 1 \u2013 58\/59= 1\/59<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 14\/3 &gt; 1\/59 n\u00ean 42\/43 &lt; 58\/59<\/em><\/p>\n<p dir=\"ltr\">Nh\u1eadn x\u00e9t, n\u1ebfu 2 ph\u00e2n s\u1ed1 c\u1ee7a ph\u1ea7n thi\u1ebfu t\u1edbi \u0111\u01a1n v\u1ecb kh\u00e1c nhau, ph\u00e2n s\u1ed1 n\u00e0o c\u00f3 ph\u1ea7n thi\u1ebfu l\u1edbn h\u01a1n th\u00ec ph\u00e2n s\u1ed1 \u0111\u00f3 s\u1ebd nh\u1ecf h\u01a1n.<\/p>\n<p dir=\"ltr\">Tr\u01b0\u1eddng h\u1ee3p 2: C\u1ea3 2 ph\u00e2n s\u1ed1 \u0111\u1ec1u c\u00f3 t\u1eed nh\u1ecf h\u01a1n m\u1eabu, n\u1ebfu l\u1ea5y m\u1eabu chia cho t\u1eed \u1edf c\u1ea3 hai ph\u00e2n s\u1ed1 th\u00ec ta s\u1ebd c\u00f3 th\u01b0\u01a1ng b\u1eb1ng nhau.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 2\/5 v\u00e0 3\/7<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>L\u1ea5y m\u1eabu s\u1ed1 chia cho t\u1eed s\u1ed1: 5:2 = 2 (d\u01b0 1); 7:3 = 2 7 (d\u01b0 1).<\/em><\/p>\n<p dir=\"ltr\"><em>L\u00fac n\u00e0y, ta ch\u1ecdn m\u1eabu s\u1ed1 c\u1ee7a ph\u00e2n s\u1ed1 chung b\u1eb1ng vi\u1ec7c l\u1ea5y ph\u1ea7n nguy\u00ean c\u1ee7a th\u01b0\u01a1ng. (c\u00f3 1\/2)<\/em><\/p>\n<p dir=\"ltr\"><em>Ta th\u1ef1c hi\u1ec7n ph\u00e9p tr\u1eeb: 1\/2 \u2013 2\/5 = 1\/10; 1\/2 \u2013 3\/7 = 1\/14<\/em><\/p>\n<p dir=\"ltr\"><em>V\u1eady ta c\u00f3: 2\/5 = 1\/2 \u2013 1\/10; 3\/7 = 1\/2 \u2013 1\/14<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 1\/10 &gt; 1\/14 n\u00ean 2\/5 &lt; 3\/7<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_5_Nhan_them_cung_mot_so_vao_hai_phan_so\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 5: Nh\u00e2n th\u00eam c\u00f9ng m\u1ed9t s\u1ed1 v\u00e0o hai ph\u00e2n s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"border-collapse: collapse;width: 100%;background-color: #F8CAC6\" border=\"1\">\n<tr>\n<td style=\"width: 98.5189%\">Ta s\u1ebd d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p nh\u00e2n th\u00eam c\u00f9ng 1 s\u1ed1 v\u00e0o 2 ph\u00e2n s\u1ed1 \u0111\u00e3 cho. Khi th\u1ea5y t\u1eed s\u1ed1 c\u1ee7a 2 ph\u00e2n s\u1ed1 \u0111\u1ec1u b\u00e9 h\u01a1n m\u1eabu s\u1ed1 v\u00e0 n\u1ebfu l\u1ea5y m\u1eabu s\u1ed1 chia cho t\u1eed s\u1ed1 th\u00ec th\u01b0\u01a1ng v\u00e0 s\u1ed1 d\u01b0 b\u1eb1ng nhau. Khi \u0111\u00f3 ta nh\u00e2n c\u1ea3 2 ph\u00e2n s\u1ed1 c\u00f9ng m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean \u0111\u1ec3 \u0111\u01b0a v\u1ec1 d\u1ea1ng so s\u00e1nh ph\u1ea7n thi\u1ebfu \u0111\u1ebfn 1.<\/td>\n<\/tr>\n<\/table>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 11\/52 v\u00e0 17\/76<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta th\u1ea5y 2 ph\u00e2n s\u1ed1 tr\u00ean n\u1ebfu l\u1ea5y m\u1eabu s\u1ed1 chia cho t\u1eed s\u1ed1 th\u00ec \u0111\u1ec1u \u0111\u01b0\u1ee3c th\u01b0\u01a1ng b\u1eb1ng 4, d\u01b0 8 n\u00ean ta s\u1ebd nh\u00e2n 2 ph\u00e2n s\u1ed1 v\u1edbi 4.<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3:<\/em><\/p>\n<p dir=\"ltr\"><em>\u00a011\/52 \u00d7 4 = 44\/52; 17\/76 \u00d7 4 = 68\/76.1 \u2013 44\/52 = 8\/52 ; 1 \u2013 68\/76 = 8\/76<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 8\/52 &gt; 8\/76 n\u00ean 44\/52 &lt; 68\/76 hay 11\/52 &lt; 17\/76<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_6_Thuc_hien_%E2%80%9Cphep_chia_hai_phan_so%E2%80%9D\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 6: Th\u1ef1c hi\u1ec7n \u201cph\u00e9p chia hai ph\u00e2n s\u1ed1\u201d<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong ph\u00e9p t\u00ednh chia, n\u1ebfu s\u1ed1 b\u1ecb chia l\u1edbn h\u01a1n s\u1ed1 chia th\u00ec \u0111\u01b0\u1ee3c th\u01b0\u01a1ng l\u1edbn h\u01a1n 1, n\u1ebfu s\u1ed1 b\u1ecb chia nh\u1ecf h\u01a1n s\u1ed1 chia th\u00ec s\u1ebd \u0111\u01b0\u1ee3c th\u01b0\u01a1ng nh\u1ecf h\u01a1n 1. L\u00fac n\u00e0y ta \u00e1p d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p \u201cchia hai ph\u00e2n s\u1ed1\u201d khi th\u1ea5y t\u1eed v\u00e0 m\u1eabu s\u1ed1 l\u00e0 nh\u1eefng s\u1ed1 kh\u00f4ng qu\u00e1 l\u1edbn, kh\u00f4ng t\u1ed1n nhi\u1ec1u th\u1eddi gian khi gi\u1ea3i ph\u00e9p nh\u00e2n \u1edf c\u1ea3 t\u1eed v\u00e0 m\u1eabu.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 2\/23 v\u00e0 9\/41<\/em><\/p>\n<p dir=\"ltr\"><em>H\u01b0\u1edbng d\u1eabn gi\u1ea3i:<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3: 2\/23 : 9\/41 = 2\/23 \u00d7 41\/9 = 82\/207. V\u00ec 82\/207 &lt; 1 n\u00ean 2\/23 &lt; 9\/41<\/em><\/p>\n<h3 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Phuong_phap_7_Dao_nguoc_phan_so_de_so_sanh\"><\/span>Ph\u01b0\u01a1ng ph\u00e1p 7: \u0110\u1ea3o ng\u01b0\u1ee3c ph\u00e2n s\u1ed1 \u0111\u1ec3 so s\u00e1nh<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p dir=\"ltr\">Trong 2 ph\u00e9p chia s\u1ed1 c\u00f3 s\u1ed1 b\u1ecb chia b\u1eb1ng nhau, ph\u00e9p chia n\u00e0o c\u00f3 s\u1ed1 l\u1edbn h\u01a1n th\u00ec th\u01b0\u01a1ng s\u1ebd nh\u1ecf h\u01a1n. L\u00fac n\u00e0y, ta s\u1ebd d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ea3o ng\u01b0\u1ee3c ph\u00e2n s\u1ed1 khi th\u1ea5y 2 ph\u00e2n s\u1ed1 \u0111\u1ec1u c\u00f3 t\u1eed b\u00e9 h\u01a1n m\u1eabu, n\u1ebfu l\u1ea5y m\u1eabu chia cho t\u1eed th\u00ec s\u1ebd c\u00f3 th\u01b0\u01a1ng v\u00e0 s\u1ed1 d\u01b0 b\u1eb1ng nhau. Khi \u0111\u00f3, ta ti\u1ebfn h\u00e0nh \u0111\u1ea3o ng\u01b0\u1ee3c ph\u00e2n s\u1ed1 \u0111\u1ec3 \u0111\u01b0a v\u1ec1 d\u1ea1ng so s\u00e1nh ph\u1ea7n b\u00f9.<\/p>\n<p dir=\"ltr\"><em>V\u00ed d\u1ee5: So s\u00e1nh hai ph\u00e2n s\u1ed1 21\/89 v\u00e0 2003\/8017<\/em><\/p>\n<p dir=\"ltr\"><em>Ta th\u1ea5y 2 ph\u00e2n s\u1ed1 tr\u00ean n\u1ebfu l\u1ea5y m\u1eabu chia cho t\u1eed s\u1ebd \u0111\u01b0\u1ee3c th\u01b0\u01a1ng b\u1eb1ng 4 v\u00e0 d\u01b0 5.<\/em><\/p>\n<p dir=\"ltr\"><em>Ta c\u00f3:\u00a0 1 : 21\/89 = 89\/21; 1:2003\/8017 = 8017\/2003<\/em><\/p>\n<p dir=\"ltr\"><em>m\u00e0 89\/21 = 4 + 5\/21; 8017\/2003 = 4 + 5\/2003<\/em><\/p>\n<p dir=\"ltr\"><em>V\u00ec 5\/21 &gt; 5\/2003 n\u00ean 89\/21 &gt; 8017\/2003<\/em><\/p>\n<p dir=\"ltr\"><em>Suy ra 21\/89 &lt; 2003\/8017\u00a0<\/em><\/p>\n<p dir=\"ltr\">\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bai_tap_so_sanh_hai_phan_so\"><\/span>B\u00e0i t\u1eadp so s\u00e1nh hai ph\u00e2n s\u1ed1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">D\u1ef1a v\u00e0o nh\u1eefng ki\u1ebfn th\u1ee9c chia s\u1ebb tr\u00ean, d\u01b0\u1edbi \u0111\u00e2y s\u1ebd l\u00e0 m\u1ed9t s\u1ed1 b\u00e0i t\u1eadp \u0111\u1ec3 c\u00e1c em c\u00f3 th\u1ec3 luy\u1ec7n t\u1eadp:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/so-sanh-phan-so-3.jpg\" alt=\"(Ngu\u1ed3n: T\u1ed5ng h\u1ee3p)\" width=\"100%\"><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Bi_quyet_hoc_va_giai_bai_tap_so_sanh_cac_phan_so_hieu_qua\"><\/span>B\u00ed quy\u1ebft h\u1ecdc v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 hi\u1ec7u qu\u1ea3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p dir=\"ltr\">\u0110\u1ec3 n\u00e2ng cao hi\u1ec7u qu\u1ea3 h\u1ecdc to\u00e1n v\u00e0 gi\u1ea3i b\u00e0i t\u1eadp so s\u00e1nh hai ph\u00e2n s\u1ed1, b\u1ed1 m\u1eb9 c\u00f3 th\u1ec3 tham kh\u1ea3o v\u00e0 \u00e1p d\u1ee5ng nh\u1eefng b\u00ed quy\u1ebft \u0111\u01b0\u1ee3c chia s\u1ebb sau \u0111\u00e2y:<\/p>\n<p dir=\"ltr\"><img decoding=\"async\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia2.monkeyuni.net\/upload\/web\/img\/so-sanh-phan-so-4.jpg\" alt=\"Vi\u1ec7c luy\u1ec7n t\u1eadp th\u01b0\u1eddng xuy\u00ean r\u1ea5t quan tr\u1ecdng. (\u1ea2nh: S\u01b0u t\u1ea7m internet)\" width=\"100%\"><\/p>\n<ul>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">N\u1eafm v\u1eefng l\u00fd thuy\u1ebft: \u0110\u1ed1i v\u1edbi ph\u1ea7n so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 c\u0169ng kh\u00f4ng qu\u00e1 kh\u00f3 n\u1ebfu c\u00e1c em n\u1eafm ch\u1eafc l\u00fd thuy\u1ebft. V\u1eady n\u00ean, b\u1ed1 m\u1eb9 c\u1ea7n gi\u1ea3i th\u00edch chi ti\u1ebft, c\u0169ng nh\u01b0 c\u00e1c c\u00e1ch gi\u1ea3i b\u00e0i t\u1eadp \u0111\u1ec3 em c\u00f3 th\u1ec3 n\u1eafm r\u00f5 v\u00e0 th\u1ef1c h\u00e0nh hi\u1ec7u qu\u1ea3 h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">N\u1eafm ch\u1eafc c\u00e1c ki\u1ebfn th\u1ee9c li\u00ean quan: \u0110\u1ec3 gi\u1ea3i b\u00e0i t\u1eadp v\u1ec1 so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1 s\u1ebd c\u00f3 nhi\u1ec1u ki\u1ebfn th\u1ee9c li\u00ean quan nh\u01b0 r\u00fat g\u1ecdn ph\u00e2n s\u1ed1, quy \u0111\u1ed3ng m\u1eabu s\u1ed1, t\u00ecm hi\u1ec3u v\u1ec1 th\u1eeba s\u1ed1 chung, th\u1eeba s\u1ed1 ri\u00eang, m\u1eabu s\u1ed1 chung\u2026 Ch\u00ednh v\u00ec v\u1eady, c\u00e1c em n\u00ean t\u00ecm hi\u1ec3u r\u00f5 \u0111\u1ec3 gi\u1ea3i to\u00e1n ch\u00ednh x\u00e1c h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">Luy\u1ec7n t\u1eadp th\u01b0\u1eddng xuy\u00ean: Sau khi \u0111\u00e3 n\u1eafm v\u1eefng l\u00fd thuy\u1ebft, b\u1ed1 m\u1eb9 h\u00e3y c\u00f9ng c\u00e1c b\u00e9 th\u1ef1c h\u00e0nh nhi\u1ec1u h\u01a1n th\u00f4ng qua vi\u1ec7c gi\u1ea3i b\u00e0i t\u1eadp tr\u00ean SGK, s\u00e1ch b\u00e0i t\u1eadp, t\u00ecm hi\u1ec3u ki\u1ebfn th\u1ee9c tr\u00ean internet, tham kh\u1ea3o nhi\u1ec1u b\u00e0i t\u1eadp n\u00e2ng cao,\u2026 \u0111\u1ec3 qua \u0111\u00f3 gi\u00fap n\u00e2ng cao kh\u1ea3 n\u0103ng t\u01b0 duy to\u00e1n h\u1ecdc v\u00e0 ghi nh\u1edb c\u1ee7a b\u00e9 t\u1ed1t h\u01a1n.<\/p>\n<\/li>\n<li dir=\"ltr\">\n<p dir=\"ltr\" role=\"presentation\">X\u00e2y d\u1ef1ng n\u1ec1n t\u1ea3ng to\u00e1n t\u1eeb nh\u1ecf cho b\u00e9 c\u00f9ng Shining Home &#8211; Gia \u0111\u00ecnh Anh Ng\u1eef Math: \u0110\u00e2y l\u00e0 \u1ee9ng d\u1ee5ng d\u1ea1y to\u00e1n song ng\u1eef d\u00e0nh cho tr\u1ebb m\u1ea7m non v\u00e0 ti\u1ec3u h\u1ecdc, v\u1edbi n\u1ed9i dung x\u00e2y d\u1ef1ng b\u00e1m s\u00e1t ch\u01b0\u01a1ng tr\u00ecnh GDPT m\u1edbi nh\u1ea5t. C\u00f9ng v\u1edbi b\u00e0i h\u1ecdc \u0111\u01b0\u1ee3c gi\u1ea3ng d\u1ea1y d\u01b0\u1edbi d\u1ea1ng video, h\u00ecnh \u1ea3nh ho\u1ea1t h\u1ecda ng\u1ed9 ngh\u0129nh n\u00ean gi\u00fap b\u00e9 d\u1ec5 d\u00e0ng hi\u1ec3u v\u00e0 ghi nh\u1edb ki\u1ebfn th\u1ee9c. K\u1ebft h\u1ee3p v\u1edbi h\u01a1n 10.000 ho\u1ea1t \u0111\u1ed9ng t\u01b0\u01a1ng t\u00e1c \u0111\u1ec3 b\u00e9 v\u1eeba ch\u01a1i, v\u1eeba h\u1ecdc v\u00e0 h\u1ed7 tr\u1ee3 k\u00edch th\u00edch t\u01b0 duy khi h\u1ecdc to\u00e1n t\u1ed1t h\u01a1n. Ch\u1ec9 v\u1edbi 2.000\u0111\/ng\u00e0y, b\u1ed1 m\u1eb9 ho\u00e0n to\u00e0n c\u00f3 th\u1ec3 gi\u00fap n\u00e2ng cao n\u0103ng l\u1ef1c h\u1ecdc to\u00e1n c\u1ee7a b\u00e9 t\u1ed1t h\u01a1n.<\/p>\n<\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" style=\"margin-left: auto;margin-right: auto\" class=\"lazyload\" src=\"https:\/\/external-content.duckduckgo.com\/iu\/?u=https:\/\/vnmedia.monkeyuni.net\/upload\/web\/img\/button_dang-ky-ngay-1.png\" alt=\"\" width=\"185\" height=\"25\"><\/p>\n<p style=\"text-align: center\"><iframe loading=\"lazy\" title=\"Gi\u1edbi thi\u1ec7u \u1ee9ng d\u1ee5ng Monkey Math\" width=\"1020\" height=\"574\" src=\"https:\/\/www.youtube.com\/embed\/7DsjpvHFrOs?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<h2 dir=\"ltr\"><span class=\"ez-toc-section\" id=\"Ket_luan\"><\/span>K\u1ebft lu\u1eadn<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<\/p>\n<p dir=\"ltr\">Tr\u00ean \u0111\u00e2y l\u00e0 nh\u1eefng chia s\u1ebb v\u1ec1 ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n c\u1ee7a d\u1ea1ng to\u00e1n so s\u00e1nh ph\u00e2n s\u1ed1. Hy v\u1ecdng v\u1edbi nh\u1eefng th\u00f4ng tin tr\u00ean s\u1ebd gi\u00fap b\u00e9 n\u00e2ng cao hi\u1ec7u qu\u1ea3 h\u1ecdc t\u1eadp v\u00e0 \u0111\u1ea1t th\u00e0nh t\u00edch cao trong khi h\u1ecdc v\u00e0 thi c\u1eed nh\u00e9.<\/p>\n<p>Ngu\u1ed3n: <a href=\"http:\/\/www.ckconitsha.com\/vn\/\">http:\/\/www.ckconitsha.com\/vn\/<\/a> T\u00e1c gi\u1ea3: <a href=\"https:\/\/www.ckconitsha.com\/vn\/author\/nguyenlandung\">Nguy\u1ec5n L\u00e2n d\u0169ng<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>So s\u00e1nh ph\u00e2n s\u1ed1 l\u00e0 m\u1ed9t trong nh\u1eefng d\u1ea1ng to\u00e1n ph\u00e2n s\u1ed1 m\u00e0 c\u00e1c em h\u1ecdc sinh l\u1edbp 4, th\u1eadm ch\u00ed c\u00e1c l\u1edbp l\u1edbn h\u01a1n v\u1eabn h\u1ecdc v\u00e0 l\u00e0m b\u00e0i t\u1eadp n\u00e0y. V\u1eady n\u00ean, \u0111\u1ec3 gi\u00fap c\u00e1c em c\u00f3 th\u1ec3 chinh ph\u1ee5c \u0111\u01b0\u1ee3c d\u1ea1ng to\u00e1n so s\u00e1nh c\u00e1c ph\u00e2n s\u1ed1, Shining Home &#8211; Gia \u0111\u00ecnh&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[100],"tags":[],"class_list":["post-15993","post","type-post","status-publish","format-standard","hentry","category-kien-thuc"],"_links":{"self":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/15993","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/comments?post=15993"}],"version-history":[{"count":2,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/15993\/revisions"}],"predecessor-version":[{"id":22552,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/posts\/15993\/revisions\/22552"}],"wp:attachment":[{"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/media?parent=15993"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/categories?post=15993"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ckconitsha.com\/vn\/wp-json\/wp\/v2\/tags?post=15993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}