{"id":93514,"date":"2017-01-10T07:43:58","date_gmt":"2017-01-10T09:43:58","guid":{"rendered":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/?p=93514"},"modified":"2026-05-19T18:39:51","modified_gmt":"2026-05-19T20:39:51","slug":"fracoes","status":"publish","type":"post","link":"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/matematica\/fracoes","title":{"rendered":"Fra\u00e7\u00f5es"},"content":{"rendered":"<p><b>Fra\u00e7\u00f5es &#8211; O que s\u00e3o<\/b><\/p>\n<p><b>Fra\u00e7\u00f5es<\/b>\u00a0representam partes de um todo dividido em partes iguais, compostas por um numerador (partes consideradas) e um denominador (total de partes). S\u00e3o essenciais para expressar divis\u00f5es e n\u00fameros racionais.<\/p>\n<p>Opera\u00e7\u00f5es como soma\/subtra\u00e7\u00e3o exigem denominadores comuns, enquanto multiplica\u00e7\u00e3o e divis\u00e3o seguem regras espec\u00edficas de cruzamento ou invers\u00e3o<\/p>\n<p><b>Numerador (superior):<\/b>\u00a0Indica quantas partes foram tomadas.<\/p>\n<p><b>Denominador (inferior):<\/b>\u00a0Indica em quantas partes iguais o todo foi dividido.<\/p>\n<p>Uma fra\u00e7\u00e3o \u00e9 uma divis\u00e3o n\u00e3o inteira entre dois n\u00fameros reais, cujo resultado \u00e9\u00a0tamb\u00e9m um n\u00famero real, isto \u00e9, a fra\u00e7\u00e3o \u00e9 uma forma de descrever um n\u00famero real atrav\u00e9s\u00a0de uma divis\u00e3o.<\/p>\n<blockquote><p><strong>Exemplo:<\/strong> 2\/6<br \/>\n<strong>Exemplo:<\/strong> 4\/7<br \/>\n<strong>Exemplo:<\/strong> 9\/5<br \/>\n<strong>Exemplo:<\/strong> 5\/12<\/p><\/blockquote>\n<p>Ent\u00e3o, sendo uma fra\u00e7\u00e3o uma representa\u00e7\u00e3o mais precisa e compacta para um n\u00famero\u00a0real, podemos perceber que podemos realizar opera\u00e7\u00f5es com fra\u00e7\u00f5es, como adi\u00e7\u00e3o,\u00a0subtra\u00e7\u00e3o, divis\u00e3o, multiplica\u00e7\u00e3o, radicia\u00e7\u00e3o e potencia\u00e7\u00e3o.<\/p>\n<p>Vamos estudar como realizar estas opera\u00e7\u00f5es entre fra\u00e7\u00f5es.<\/p>\n<p><strong>Adi\u00e7\u00e3o<\/strong><\/p>\n<p>Para realizar a opera\u00e7\u00e3o da adi\u00e7\u00e3o em fra\u00e7\u00f5es precisamos primeiramente nos\u00a0certificar de que os denominadores entre os operandos da soma s\u00e3o iguais. Para isso,\u00a0realizaremos o procedimento de verifica\u00e7\u00e3o do m\u00ednimo m\u00faltiplo comum, quando necess\u00e1rio.\u00a0Para saber mais sobre a opera\u00e7\u00e3o de m\u00ednimo m\u00faltiplo comum <strong>clique aqui<\/strong>.<\/p>\n<p class=\"imagem\"><img decoding=\"async\" class=\"alignnone size-full wp-image-128654\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-1.png\" alt=\"fracoes-1\" width=\"214\" height=\"76\" \/><\/p>\n<p>Neste caso, como t\u00ednhamos o denominador comum entre ambas as fra\u00e7\u00f5es, bastou somar\u00a0os dividendos para obter a resposta.<\/p>\n<p class=\"imagem\"><img decoding=\"async\" class=\"alignnone size-full wp-image-128655\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-2.png\" alt=\"fracoes-2\" width=\"420\" height=\"82\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-2.png 420w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-2-300x59.png 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><\/p>\n<p>Neste caso, como t\u00ednhamos o denominador comum entre ambas as fra\u00e7\u00f5es, bastou somar\u00a0os dividendos para obter a resposta.<\/p>\n<p><strong>Subtra\u00e7\u00e3o<\/strong><\/p>\n<p>O procedimento para a subtra\u00e7\u00e3o \u00e9 muito similar ao da adi\u00e7\u00e3o. Devemos sempre\u00a0nos preocupar se os divisores de ambos operandos s\u00e3o iguais antes de subtrair os\u00a0dividendos.<\/p>\n<p class=\"imagem\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone size-full wp-image-128656\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-3.png\" alt=\"fracoes-3\" width=\"421\" height=\"248\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-3.png 421w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-3-300x177.png 300w\" sizes=\"(max-width: 421px) 100vw, 421px\" \/><\/p>\n<p><strong>Multiplica\u00e7\u00e3o<\/strong><\/p>\n<p>Para multiplicar fra\u00e7\u00f5es precisamos multiplicar os dividendos e divisores de cada um\u00a0dos operandos para obter o resultado. Vamos ver exemplos.<\/p>\n<p class=\"imagem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-128657\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-4.png\" alt=\"fracoes-4\" width=\"372\" height=\"163\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-4.png 372w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-4-300x131.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><\/p>\n<p>No exemplo a seguir vamos aprender a simplificar fra\u00e7\u00f5es, isto \u00e9, se existe algum divisor\u00a0comum entre o dividendo e o divisor, podemos realizar a opera\u00e7\u00e3o em ambos sem alterar o\u00a0resultado.<\/p>\n<p class=\"imagem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-128658\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-5.png\" alt=\"fracoes-5\" width=\"462\" height=\"82\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-5.png 462w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-5-300x53.png 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><\/p>\n<p>Esse resultado decorre do fato de que existem infinitas formas de representar uma divis\u00e3o\u00a0obtendo o mesmo resultado.<\/p>\n<p class=\"imagem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-128659\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-6.png\" alt=\"fracoes-6\" width=\"540\" height=\"74\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-6.png 540w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-6-300x41.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p>\n<p><strong>Divis\u00e3o<\/strong><\/p>\n<p>Para fazer a divis\u00e3o entre duas fra\u00e7\u00f5es, fazemos a multiplica\u00e7\u00e3o da primeira pelo\u00a0inverso da segunda.<\/p>\n<p class=\"imagem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-128660\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-7.png\" alt=\"fracoes-7\" width=\"450\" height=\"267\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-7.png 450w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-7-300x178.png 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/p>\n<p><strong>Radicia\u00e7\u00e3o<\/strong><\/p>\n<p>Para realizar a opera\u00e7\u00e3o de radicia\u00e7\u00e3o em uma fra\u00e7\u00e3o, basta tirar a raiz do\u00a0dividendo e do divisor.<\/p>\n<p class=\"imagem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-128661\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-8.png\" alt=\"fracoes-8\" width=\"312\" height=\"202\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-8.png 312w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-8-300x194.png 300w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-8-310x202.png 310w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><\/p>\n<p><strong>Potencia\u00e7\u00e3o<\/strong><\/p>\n<p>Para realizar a potencia\u00e7\u00e3o sobre uma fra\u00e7\u00e3o, tamb\u00e9m precisamos s\u00f3 realizar sobre\u00a0o dividendo e o divisor.<\/p>\n<p class=\"imagem\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-128662\" src=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-9.png\" alt=\"fracoes-9\" width=\"340\" height=\"239\" srcset=\"https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-9.png 340w, https:\/\/lab.fabricadelandings.com.br\/portalsaofrancisconovo\/wp-content\/uploads\/2017\/01\/fracoes-9-300x211.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><\/p>\n<p>Luisa Boccardo Burini<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fra\u00e7\u00f5es &#8211; O que s\u00e3o Fra\u00e7\u00f5es\u00a0representam partes de um todo dividido em partes iguais, compostas por um numerador (partes consideradas) e um denominador (total de partes). S\u00e3o essenciais para expressar divis\u00f5es e n\u00fameros racionais. Opera\u00e7\u00f5es como soma\/subtra\u00e7\u00e3o exigem denominadores comuns, enquanto multiplica\u00e7\u00e3o e divis\u00e3o seguem regras espec\u00edficas de cruzamento ou invers\u00e3o Numerador (superior):\u00a0Indica quantas partes [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[414],"tags":[],"class_list":["post-93514","post","type-post","status-publish","format-standard","hentry","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fra\u00e7\u00f5es, Divis\u00e3o, Numerador, Denominador Fra\u00e7\u00f5es<\/title>\n<meta name=\"description\" content=\"Fra\u00e7\u00f5es, Divis\u00e3o, Numerador, Denominador, Adi\u00e7\u00e3o, Subtra\u00e7\u00e3o, Multiplica\u00e7\u00e3o, Opera\u00e7\u00e3o, 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