{"id":212302,"date":"2024-11-06T20:51:52","date_gmt":"2024-11-06T18:51:52","guid":{"rendered":"https:\/\/mathema.me\/?p=212302"},"modified":"2024-11-06T20:52:01","modified_gmt":"2024-11-06T18:52:01","slug":"slozhenie-i-vichitanie-smeshannikh-chisel","status":"publish","type":"post","link":"https:\/\/mathema.me\/ru\/blog\/slozhenie-i-vichitanie-smeshannikh-chisel\/","title":{"rendered":"\u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b"},"content":{"rendered":"\n<p>\u0410\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u2014 \u043d\u0435\u043e\u0442\u044a\u0435\u043c\u043b\u0435\u043c\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438. \u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0434\u043d\u0438\u043c\u0438 \u0438\u0437 \u043f\u0435\u0440\u0432\u044b\u0445 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u0438\u0437\u0443\u0447\u0430\u0435\u043c, \u0438 \u043e\u043d\u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f \u043a \u0440\u0430\u0437\u043d\u044b\u043c \u0442\u0438\u043f\u0430\u043c \u0447\u0438\u0441\u0435\u043b: \u0446\u0435\u043b\u044b\u043c, \u0434\u0440\u043e\u0431\u043d\u044b\u043c \u0438 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u043c. \u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430 \u0438 \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0442\u044c \u0441 \u043d\u0438\u043c\u0438 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430?<\/strong><\/h2>\n\n\n\n<p>\u041a\u0430\u043a \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c 6 \u043a\u0443\u0441\u043e\u0447\u043a\u043e\u0432 \u043f\u0438\u0446\u0446\u044b \u043c\u0435\u0436\u0434\u0443 5 \u0434\u0435\u0442\u044c\u043c\u0438? \u041a\u0430\u0436\u0434\u044b\u0439 \u0440\u0435\u0431\u0435\u043d\u043e\u043a \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043f\u043e \u043e\u0434\u043d\u043e\u043c\u0443 (1 \u0446\u0435\u043b\u044b\u0439) \u043a\u0443\u0441\u043e\u0447\u043a\u0443 \u043f\u0438\u0446\u0446\u044b, \u0438 1 \u043a\u0443\u0441\u043e\u0447\u0435\u043a \u043e\u0441\u0442\u0430\u043d\u0435\u0442\u0441\u044f \u043d\u0430 \u0442\u0430\u0440\u0435\u043b\u043a\u0435. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u043e\u043b\u0443\u0447\u0438\u0442\u0441\u044f \u0447\u0438\u0441\u043b\u043e:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[1\\frac16\\]<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\[1\\;-\\;\u0446\u0435\u043b\u0430\u044f\\;\u0447\u0430\u0441\u0442\u044c\\]<\/p>\n\n\n\n<p class=\"has-text-align-center\">\\[\\frac1{16}\\;-\\;\u0434\u0440\u043e\u0431\u043d\u0430\u044f\\;\u0447\u0430\u0441\u0442\u044c\\]<\/p>\n<\/blockquote>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><em>\u0427\u0438\u0441\u043b\u043e, \u043a\u043e\u0442\u043e\u0440\u043e\u0435 \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0446\u0435\u043b\u043e\u0439 \u0438 \u0434\u0440\u043e\u0431\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0435\u0439, \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u0442\u0441\u044f <strong>\u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u043c \u0447\u0438\u0441\u043b\u043e\u043c<\/strong>. \u041f\u0440\u0438\u043d\u044f\u0442\u043e, \u0447\u0442\u043e \u0434\u0440\u043e\u0431\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u2014 <strong>\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0430\u044f <\/strong>\u0438 <strong>\u043d\u0435\u0441\u043e\u043a\u0440\u0430\u0442\u0438\u043c\u0430\u044f<\/strong>. <strong>\u0414\u0440\u043e\u0431\u044c \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0430\u044f<\/strong>, \u0435\u0441\u043b\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u043c\u0435\u043d\u044c\u0448\u0435 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044f.<\/em><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u041f\u0440\u0438\u043c\u0435\u0440\u044b \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b<\/h3>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[3\\frac12;\\;11\\frac38;\\;1\\frac{23}{47}\\]<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0439 \u0434\u0440\u043e\u0431\u0438 \u0432 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e<\/h2>\n\n\n\n<p>\u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0443\u044e \u0434\u0440\u043e\u0431\u044c \u0432 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u043d\u0443\u0436\u043d\u043e \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u0442\u044c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u043d\u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0441 \u043e\u0441\u0442\u0430\u0442\u043a\u043e\u043c. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u043e\u0431\u044c:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[\\frac{14}5 \\]<\/p>\n<\/blockquote>\n\n\n\n<p>\u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0432 \u0434\u0435\u043b\u0435\u043d\u0438\u0435, \u043f\u043e\u043b\u0443\u0447\u0438\u043c \u0446\u0435\u043b\u0443\u044e \u0447\u0430\u0441\u0442\u044c (\u0447\u0430\u0441\u0442\u043d\u043e\u0435), \u043e\u0441\u0442\u0430\u0442\u043e\u043a \u2014 \u0432 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c, \u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u043e\u0441\u0442\u0430\u0432\u0438\u043c \u0431\u0435\u0437 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0439. \u0418\u0442\u0430\u043a:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[\\frac{14}5=2\\frac45\\]<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-left\"><strong>\u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b\u00a0<\/strong><\/h2>\n\n\n\n<p class=\"has-text-align-left\">\u0427\u0442\u043e\u0431\u044b \u0441\u043b\u043e\u0436\u0438\u0442\u044c \u0434\u0432\u0430 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u043b\u0430, \u0441\u043b\u0435\u0434\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u0448\u0430\u0433\u0430\u043c:<\/p>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 1. <\/strong>\u0421\u043b\u043e\u0436\u0438\u0442\u0435 \u0446\u0435\u043b\u044b\u0435 \u0447\u0430\u0441\u0442\u0438 \u0441 \u0446\u0435\u043b\u044b\u043c\u0438.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[2\\frac37+4\\frac27=(2+4)\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 2.<\/strong>\u00a0 \u0414\u0440\u043e\u0431\u043d\u044b\u0435 \u0447\u0430\u0441\u0442\u0438 \u0441\u043b\u043e\u0436\u0438\u0442\u0435 \u0441 \u0434\u0440\u043e\u0431\u043d\u044b\u043c\u0438.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[2\\frac37+4\\frac27=(2+4)+(\\frac37+\\frac27)\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 3.<\/strong> \u0421\u043b\u043e\u0436\u0438\u0442\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u0446\u0435\u043b\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0438 \u0434\u0440\u043e\u0431\u044c.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[6+\\frac57=6\\frac57\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\">\u041e\u0434\u043d\u0430\u043a\u043e \u0435\u0441\u043b\u0438 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0434\u0440\u043e\u0431\u043d\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043e\u043a\u0430\u0436\u0435\u0442\u0441\u044f \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u043e\u0439 \u0434\u0440\u043e\u0431\u044c\u044e, \u0435\u0451 \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0432 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[7\\frac49+4\\frac79=11\\frac{11}9=11+1\\frac29=12\\frac29\\]<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u0412\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b\u00a0<\/strong><\/h2>\n\n\n\n<p>\u041f\u0440\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0438 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0439\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0448\u0430\u0433\u0438:<\/p>\n\n\n\n<p><strong>\u0428\u0430\u0433 1.<\/strong> \u0412\u044b\u0447\u0442\u0438\u0442\u0435 \u0446\u0435\u043b\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0438\u0437 \u0446\u0435\u043b\u043e\u0439.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[5\\frac3{11}-1\\frac2{11}=\\;(5-1)\\]<\/p>\n<\/blockquote>\n\n\n\n<p><strong>\u0428\u0430\u0433 2.<\/strong> \u0412\u044b\u0447\u0442\u0438\u0442\u0435 \u0434\u0440\u043e\u0431\u043d\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u0438\u0437 \u0434\u0440\u043e\u0431\u043d\u043e\u0439.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[5\\frac3{11}-1\\frac2{11}=\\;(5-1)\\;+(\\frac3{11}-\\frac2{11})\\]<\/p>\n<\/blockquote>\n\n\n\n<p><strong>\u0428\u0430\u0433 3.<\/strong> \u041c\u0435\u0436\u0434\u0443 \u0446\u0435\u043b\u044b\u043c \u0447\u0438\u0441\u043b\u043e\u043c \u0438 \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0439 \u0434\u0440\u043e\u0431\u044c\u044e \u043f\u043e\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0435 \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u044f.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[5\\frac3{11}-1\\frac2{11}=\\;(5-1)\\;+(\\frac3{11}-\\frac2{11})=4+\\frac12=4\\frac12\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\">\u0418\u043d\u043e\u0433\u0434\u0430 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043d\u0435\u043b\u044c\u0437\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0432 \u0442\u0440\u0438 \u044d\u0442\u0430\u043f\u0430. \u042d\u0442\u043e \u043f\u0440\u043e\u0438\u0441\u0445\u043e\u0434\u0438\u0442, \u0435\u0441\u043b\u0438 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438 \u0443\u043c\u0435\u043d\u044c\u0448\u0430\u0435\u043c\u043e\u0433\u043e \u043c\u0435\u043d\u044c\u0448\u0435, \u0447\u0435\u043c \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0432\u044b\u0447\u0438\u0442\u0430\u0435\u043c\u043e\u0433\u043e. \u0412 \u0442\u0430\u043a\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0434\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0448\u0430\u0433:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[7\\;\\frac2{5\\;}-\\;3\\frac45=\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\">\u0414\u043b\u044f \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u044f \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0432\u044b\u0448\u0435\u0443\u043a\u0430\u0437\u0430\u043d\u043d\u044b\u043c \u0430\u043b\u0433\u043e\u0440\u0438\u0442\u043c\u043e\u043c.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[7\\;\\frac2{5\\;}-\\;3\\frac45=(7-3)+(\\frac25-\\frac45)\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\">\u041e\u0434\u043d\u0430\u043a\u043e \u043d\u0430 \u0434\u0430\u043d\u043d\u043e\u043c \u044d\u0442\u0430\u043f\u0435 \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0447\u0435\u0441\u0442\u044c \u0442\u043e\u043b\u044c\u043a\u043e \u0446\u0435\u043b\u044b\u0435 \u0447\u0430\u0441\u0442\u0438; \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u0441 \u0434\u0440\u043e\u0431\u043d\u044b\u043c\u0438 \u0447\u0430\u0441\u0442\u044f\u043c\u0438 \u043d\u0435\u0432\u043e\u0437\u043c\u043e\u0436\u043d\u044b, \u0442\u0430\u043a \u043a\u0430\u043a \u043d\u0435\u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e \u0438\u0437 \u043c\u0435\u043d\u044c\u0448\u0435\u0433\u043e \u0447\u0438\u0441\u043b\u0430 \u0432\u044b\u0447\u0435\u0441\u0442\u044c \u0431\u043e\u043b\u044c\u0448\u0435\u0435. \u0427\u0442\u043e\u0431\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435:<\/p>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 1.<\/strong> \u041e\u0442\u0434\u0435\u043b\u0438\u0442\u044c 1 \u043e\u0442 \u0446\u0435\u043b\u043e\u0439 \u0447\u0430\u0441\u0442\u0438.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[2+\\frac25-\\frac45=\\;1\\;+\\;1+\\;\\frac25-\\frac45=\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 2.<\/strong> \u0417\u0430\u043f\u0438\u0441\u0430\u0442\u044c 1 \u0432 \u0432\u0438\u0434\u0435 \u043e\u0431\u044b\u043a\u043d\u043e\u0432\u0435\u043d\u043d\u043e\u0439 \u0434\u0440\u043e\u0431\u0438, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c \u0438 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442 \u0441\u043e \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u0435\u043c \u0434\u0440\u043e\u0431\u043d\u043e\u0439 \u0447\u0430\u0441\u0442\u0438.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[1\\;+\\;\\frac55+\\;\\frac25-\\frac45=\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 3.<\/strong> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0440\u043e\u0431\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u0435\u0439.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[1+(\\frac55+\\frac25)-\\frac45=1\\frac75-\\frac45\\]<\/p>\n<\/blockquote>\n\n\n\n<p class=\"has-text-align-left\"><strong>\u0428\u0430\u0433 4.<\/strong> \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0445 \u0434\u0440\u043e\u0431\u043d\u044b\u0445 \u0447\u0430\u0441\u0442\u0435\u0439.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[1+(\\frac75-\\frac45)=1\\frac35\\]<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-left\">\u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0432 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0435 \u0434\u0440\u043e\u0431\u0438<\/h2>\n\n\n\n<p class=\"has-text-align-left\">\u0415\u0441\u043b\u0438 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0432 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0435 \u0434\u0440\u043e\u0431\u0438, \u0438\u0445 \u043c\u043e\u0436\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u0438\u043b\u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u0442\u044c, \u043a\u0430\u043a \u043e\u0431\u044b\u0447\u043d\u044b\u0435 \u0434\u0440\u043e\u0431\u0438. \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u0432 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0443\u044e \u0434\u0440\u043e\u0431\u044c, \u0443\u043c\u043d\u043e\u0436\u044c\u0442\u0435 \u0446\u0435\u043b\u0443\u044e \u0447\u0430\u0441\u0442\u044c \u043d\u0430 \u0437\u043d\u0430\u043c\u0435\u043d\u0430\u0442\u0435\u043b\u044c \u0434\u0440\u043e\u0431\u0438 \u0438 \u043f\u0440\u0438\u0431\u0430\u0432\u044c\u0442\u0435 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c, \u0437\u0430\u043f\u0438\u0441\u0430\u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0432 \u0447\u0438\u0441\u043b\u0438\u0442\u0435\u043b\u044c.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"600\" height=\"200\" src=\"https:\/\/i0.wp.com\/mathema.me\/wp-content\/uploads\/2024\/11\/dodavannia-ta-img-vidnimannia-mishanykh-chysel.png?resize=600%2C200&#038;ssl=1\" alt=\"\" class=\"wp-image-212168\" srcset=\"https:\/\/i0.wp.com\/mathema.me\/wp-content\/uploads\/2024\/11\/dodavannia-ta-img-vidnimannia-mishanykh-chysel.png?w=600&amp;ssl=1 600w, https:\/\/i0.wp.com\/mathema.me\/wp-content\/uploads\/2024\/11\/dodavannia-ta-img-vidnimannia-mishanykh-chysel.png?resize=300%2C100&amp;ssl=1 300w, https:\/\/i0.wp.com\/mathema.me\/wp-content\/uploads\/2024\/11\/dodavannia-ta-img-vidnimannia-mishanykh-chysel.png?resize=50%2C17&amp;ssl=1 50w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"has-text-align-left\">\u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043f\u043e\u043b\u0443\u0447\u0438\u0432 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0435 \u0434\u0440\u043e\u0431\u0438, \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0441\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435, \u043a\u0430\u043a \u0441 \u043e\u0431\u044b\u0447\u043d\u044b\u043c\u0438 \u0434\u0440\u043e\u0431\u044f\u043c\u0438. <strong>\u041f\u0440\u0438\u043c\u0435\u0440:<\/strong><\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[2\\frac17+3\\frac27=\\]<\/p>\n<\/blockquote>\n\n\n\n<p><strong>\u0428\u0430\u0433 1.<\/strong> \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u0432 \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0435 \u0434\u0440\u043e\u0431\u0438.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[\\frac{15}7+\\frac{23}7=\\]<\/p>\n<\/blockquote>\n\n\n\n<p><strong>\u0428\u0430\u0433 2.<\/strong> \u0421\u043b\u043e\u0436\u0438\u0442\u044c, \u043a\u0430\u043a <a href=\"https:\/\/mathema.me\/ru\/blog\/kak-dobavlyat-vychitat-umnozhat-i-delit-drobi\">\u043e\u0431\u044b\u0447\u043d\u044b\u0435 \u0434\u0440\u043e\u0431\u0438<\/a>.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[\\frac{15}7+\\frac{23}7=\\frac{38}7\\]<\/p>\n<\/blockquote>\n\n\n\n<p><strong>\u0428\u0430\u0433 3.<\/strong> \u041f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u044c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u0443\u044e \u043d\u0435\u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u0443\u044e \u0434\u0440\u043e\u0431\u044c \u0432 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"has-text-align-center\">\\[\\frac{38}7=5\\frac37\\]<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>\u0412\u044b\u0432\u043e\u0434<\/strong><\/h2>\n\n\n\n<p>\u0421\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u043d\u0435 \u0442\u043e\u043b\u044c\u043a\u043e \u043d\u0430 \u0443\u0440\u043e\u043a\u0430\u0445 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438, \u043d\u043e \u0438 \u0432 \u043f\u043e\u0432\u0441\u0435\u0434\u043d\u0435\u0432\u043d\u043e\u0439 \u0436\u0438\u0437\u043d\u0438. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0446\u0435\u043b\u044b\u0439 \u043f\u0438\u0440\u043e\u0433 \u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0435\u0433\u043e \u043a\u0443\u0441\u043e\u0447\u043a\u043e\u0432, \u043d\u0430\u043f\u043e\u043b\u043d\u0435\u043d\u043d\u044b\u0439 \u0441\u0442\u0430\u043a\u0430\u043d \u0438 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0430 \u0442\u0430\u043a\u043e\u0433\u043e \u0436\u0435 \u0441\u0442\u0430\u043a\u0430\u043d\u0430. \u041f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u0440\u0430\u0431\u043e\u0442\u044b \u0441\u043e \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u043c\u0438 \u0447\u0438\u0441\u043b\u0430\u043c\u0438 \u043f\u043e\u043c\u043e\u0433\u0430\u0435\u0442 \u0440\u0430\u0437\u0432\u0438\u0432\u0430\u0442\u044c \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043d\u0430\u0432\u044b\u043a\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u043e\u0433\u0443\u0442 \u043f\u0440\u0438\u0433\u043e\u0434\u0438\u0442\u044c\u0441\u044f \u0432 \u0440\u0435\u0430\u043b\u044c\u043d\u044b\u0445 \u0436\u0438\u0437\u043d\u0435\u043d\u043d\u044b\u0445 \u0441\u0438\u0442\u0443\u0430\u0446\u0438\u044f\u0445.<span id=\"docs-internal-guid-df423a4c-7fff-ec9f-5fd4-c8b2e3d477ab\"><\/span><\/p>\n\n\n\n<p class=\"has-text-align-left\"><span id=\"docs-internal-guid-5ac965c4-7fff-3175-6fa6-39b9d48d6822\"><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0410\u0440\u0438\u0444\u043c\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u2014 \u043d\u0435\u043e\u0442\u044a\u0435\u043c\u043b\u0435\u043c\u0430\u044f \u0447\u0430\u0441\u0442\u044c \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438. \u0421\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0438 \u0432\u044b\u0447\u0438\u0442\u0430\u043d\u0438\u0435 \u044f\u0432\u043b\u044f\u044e\u0442\u0441\u044f \u043e\u0434\u043d\u0438\u043c\u0438 \u0438\u0437 \u043f\u0435\u0440\u0432\u044b\u0445 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0439, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043c\u044b \u0438\u0437\u0443\u0447\u0430\u0435\u043c, \u0438 \u043e\u043d\u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u044f\u044e\u0442\u0441\u044f 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