{"id":55244,"date":"2021-09-21T09:00:00","date_gmt":"2021-09-21T12:00:00","guid":{"rendered":"https:\/\/blog.estrategiavestibulares.com.br\/?p=55244"},"modified":"2024-02-19T14:43:26","modified_gmt":"2024-02-19T17:43:26","slug":"razao-e-proporcao-no-enem","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/razao-e-proporcao-no-enem\/","title":{"rendered":"Raz\u00e3o e Propor\u00e7\u00e3o no Enem: conceitos e exemplos"},"content":{"rendered":"<p class=\"wp-block-paragraph\">O desenvolvimento de uma receita culin&aacute;ria, o rendimento de um carro por litro de combust&iacute;vel, a quantidade de &aacute;gua em uma solu&ccedil;&atilde;o caseira, a mistura de mat&eacute;rias primas e outros produtos, s&atilde;o exemplos de como podem aparecer a <span id=\"urn:enhancement-ff450b91-998d-4adc-9fd9-33aa7d061773\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> e a <span id=\"urn:enhancement-037557c9-4b21-4589-b3cb-d72b62d2338d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> no <span id=\"urn:enhancement-9bfdf6c9-adfa-4a85-8f29-c0c7f8ed565f\" class=\"textannotation disambiguated wl-event\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/enem-64632\">Enem<\/span>.&nbsp;<p class=\"wp-block-paragraph\">Por esse motivo, o Estrat&eacute;gia Vestibulares preparou um resumo sobre <span id=\"urn:enhancement-39e5fbfd-eaaa-45e7-9e90-71bfb3205414\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> e <span id=\"urn:enhancement-770a1cc6-01a8-4b80-bcd8-8eda6e6b8988\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span>, que voc&ecirc; v&ecirc; a seguir. Nele voc&ecirc; encontra as principais informa&ccedil;&otilde;es sobre esse tema. Como os conceitos, usos e quest&otilde;es que aparecem nos vestibulares. Confira e aprimore seu conhecimento!<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><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:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/razao-e-proporcao-no-enem\/#O-que-e-razao-e-proporcao\" >O que &eacute; raz&atilde;o e propor&ccedil;&atilde;o?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/razao-e-proporcao-no-enem\/#Razao\" >Raz&atilde;o<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/razao-e-proporcao-no-enem\/#Proporcao\" >Propor&ccedil;&atilde;o<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/razao-e-proporcao-no-enem\/#Questao-de-Razao-e-Proporcao-no-Enem\" >Quest&atilde;o de Raz&atilde;o e Propor&ccedil;&atilde;o no Enem<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/razao-e-proporcao-no-enem\/#Assista-uma-aula-gratis-de-Razao-e-proporcao-no-Enem\" >Assista uma aula gr&aacute;tis de Raz&atilde;o e propor&ccedil;&atilde;o no Enem<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-razao-e-proporcao\"><span class=\"ez-toc-section\" id=\"O-que-e-razao-e-proporcao\"><\/span>O que &eacute; raz&atilde;o e propor&ccedil;&atilde;o?<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">O conceito de <span id=\"urn:enhancement-deb1d6de-5fbb-440d-81b0-f13a273e8fb8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> e <span id=\"urn:enhancement-6bc94e26-06b0-4936-9e97-bce40bfbf1de\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> &eacute; dado pela possibilidade de relacionar dois valores atrav&eacute;s de divis&otilde;es. Dessa forma, a <strong><span id=\"urn:enhancement-36597bec-79e5-4b5e-b810-68b48885f946\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> representa um quociente<\/strong>, enquanto a <strong><span id=\"urn:enhancement-2672e1ff-6d5c-403e-ae19-63593717632b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> abrange a rela&ccedil;&atilde;o entre duas raz&otilde;es<\/strong>.<\/p><p class=\"wp-block-paragraph\">Geralmente, essas ferramentas s&atilde;o utilizadas para a resolu&ccedil;&atilde;o de quest&otilde;es com duas grandezas distintas que apresentam uma intera&ccedil;&atilde;o entre si. Por exemplo, se a receita de um bolo pede tr&ecirc;s x&iacute;caras de farinha de trigo para cada cinco ovos e o cozinheiro gostaria de fazer tr&ecirc;s bolos, &eacute; necess&aacute;rio utilizar os instrumentos de proporcionalidade, veja:<\/p><figure class=\"wp-block-table aligncenter\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">Ovos<\/td><td class=\"has-text-align-center\" data-align=\"center\">Farinha de Trigo<\/td><td class=\"has-text-align-center\" data-align=\"center\">Bolos<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">3 x&iacute;caras<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">15<\/td><td class=\"has-text-align-center\" data-align=\"center\">9 x&iacute;caras<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><\/tbody><\/table><\/figure><p class=\"wp-block-paragraph\">Se sabemos que a cada tr&ecirc;s x&iacute;caras de farinha de trigo s&atilde;o feitos tr&ecirc;s bolos, ser&atilde;o necess&aacute;rias nove (3.3 = 9) por&ccedil;&otilde;es de farinha. Ao mesmo tempo, se para cada cinco ovos faz-se uma receita, para tr&ecirc;s, usaremos quinze (3.5 = 15) ovos.&nbsp;<\/p><p class=\"wp-block-paragraph\">O racioc&iacute;nio utilizado nos par&aacute;grafos acima demonstra uma forma de entender a proporcionalidade <span id=\"urn:enhancement-3b79e9d9-6891-412f-8e62-7db82ae22522\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">racional<\/span> entre valores distintos de forma simples. Nos t&oacute;picos seguintes, entenda melhor os usos e defini&ccedil;&otilde;es do assunto.<\/p><h2 class=\"wp-block-heading\" id=\"h-razao\"><span class=\"ez-toc-section\" id=\"Razao\"><\/span>Raz&atilde;o<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-46dc95b5-1a0b-47a1-b99b-4df14cb7a940\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> &eacute; um modo de<strong> comparar duas grandezas distintas por meio de uma divis&atilde;o <\/strong>que, em geral, aparece como uma <strong>fra&ccedil;&atilde;o<\/strong>. Por exemplo, a <span id=\"urn:enhancement-60888afb-ab76-47a5-97e2-6e0b5a01882b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> entre E e V &eacute; dada por:&nbsp; EV.&nbsp;<\/p><p class=\"wp-block-paragraph\">Em termos reais, podem ser encontrados diversos tipos de rela&ccedil;&otilde;es racionais. Utilizando o tema de bolo e a tabela a seguir, s&atilde;o desenvolvidas as seguintes divis&otilde;es:<\/p><figure class=\"wp-block-table aligncenter\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">Ovos<\/td><td class=\"has-text-align-center\" data-align=\"center\">Farinha de Trigo<\/td><td class=\"has-text-align-center\" data-align=\"center\">Bolos<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><td class=\"has-text-align-center\" data-align=\"center\">2 x&iacute;caras<\/td><td class=\"has-text-align-center\" data-align=\"center\">1<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">12<\/td><td class=\"has-text-align-center\" data-align=\"center\">6 x&iacute;caras<\/td><td class=\"has-text-align-center\" data-align=\"center\">3<\/td><\/tr><\/tbody><\/table><\/figure><p class=\"wp-block-paragraph\">Entre o n&uacute;mero de ovos e x&iacute;caras de farinha de trigo: 4\/2. Essa fra&ccedil;&atilde;o indica que para cada 4 ovos, s&atilde;o necess&aacute;rias 2 medidas de farinha. Perceba que os n&uacute;meros presentes na fra&ccedil;&atilde;o possuem divisores em comum, de modo que a <span id=\"urn:enhancement-e931fbe8-97d4-44a7-8643-60a7d391240c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> pode ser simplificada: 2\/1 (2 ovos para cada x&iacute;cara de farinha).<br><\/p><p class=\"wp-block-paragraph\">De maneira geral, a <span id=\"urn:enhancement-454d5ed9-b927-45ad-81c1-d5968bb71252\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> se mant&eacute;m sempre que voc&ecirc; divide ou multiplica o numerador e o denominador pelo mesmo n&uacute;mero. Observe que no exemplo antecedente multiplicou-se o numerador e divisor por 3:<\/p><p class=\"wp-block-paragraph\">(4*3)\/(3*2)=12\/6<\/p><p class=\"wp-block-paragraph\">Dessa forma, obt&eacute;m-se o valor proporcional de ingredientes para 3 bolos prontos.<br>De modo an&aacute;logo, se o desejo &eacute; fazer &frac12; receita do bolo, deve-se dividir o numerador e denominador por 2:<\/p><p class=\"wp-block-paragraph\">(4\/2)\/(2\/2)=2\/1<\/p><p class=\"wp-block-paragraph\">Ou seja, com 2 ovos e uma x&iacute;cara de farinha de trigo, &eacute; poss&iacute;vel produzir um bolo com a metade do peso da receita original, sem perder proporcionalidade.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-proporcao\"><span class=\"ez-toc-section\" id=\"Proporcao\"><\/span>Propor&ccedil;&atilde;o<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">De certo modo, ao encontrar uma divis&atilde;o entre grandezas, deve-se entender que ela representa uma <strong>proporcionalidade entre os n&uacute;meros<\/strong>. No caso de uma receita de leite com chocolate, veja alguns exemplos:<\/p><figure class=\"wp-block-table aligncenter\"><table><tbody><tr><td class=\"has-text-align-center\" data-align=\"center\">Litros de Leite<\/td><td class=\"has-text-align-center\" data-align=\"center\">Colheres de achocolatado<\/td><td class=\"has-text-align-center\" data-align=\"center\">X&iacute;caras da bebida pronta<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">2<\/td><td class=\"has-text-align-center\" data-align=\"center\">5<\/td><td class=\"has-text-align-center\" data-align=\"center\">4<\/td><\/tr><tr><td class=\"has-text-align-center\" data-align=\"center\">x<\/td><td class=\"has-text-align-center\" data-align=\"center\">7,5<\/td><td class=\"has-text-align-center\" data-align=\"center\">6<\/td><\/tr><\/tbody><\/table><\/figure><p class=\"wp-block-paragraph\">Imagine que voc&ecirc; encontrou uma receita de chocolate quente como a descrita acima e precisa fazer exatamente 6 x&iacute;caras da bebida. Ser&aacute; necess&aacute;rio o uso de c&aacute;lculos para encontrar o valor necess&aacute;rio de cada ingrediente.<\/p><p class=\"wp-block-paragraph\">Para fazer tais opera&ccedil;&otilde;es, &eacute; utilizada a <span id=\"urn:enhancement-5364a39b-fafa-4fb4-aff4-bd8e2edc4955\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span>, que garante uma<strong> rela&ccedil;&atilde;o fixa entre as grandezas,<\/strong> por meio das raz&otilde;es. Ou seja, ser&atilde;o sempre 2 litros de leite para cada 4 x&iacute;caras de chocolate pronto, o que pode ser representado pela <span id=\"urn:enhancement-68460b21-5ea6-40e3-8344-1d7947d603c9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> 2\/4=<strong>1\/2<\/strong>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Na proporcionalidade, &eacute; poss&iacute;vel interagir duas raz&otilde;es diferentes e encontrar o valor de inc&oacute;gnita. Para isso, &eacute; necess&aacute;rio<strong> igualar as unidades entre as grandezas<\/strong> e colocar<strong> grandezas iguais na mesma linha<\/strong>, desse modo:<\/p><p class=\"wp-block-paragraph\">Com as raz&otilde;es igualadas, percebemos uma <strong><span id=\"urn:enhancement-9828568a-e0ac-4c02-9115-d173607dec9c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> <\/strong>entre as x&iacute;caras de chocolate pronto e a quantidade de leite usado. Para continuar esses c&aacute;lculos, &eacute; utilizada a <strong><span id=\"urn:enhancement-3dd17559-8d63-403b-98e9-e5fb9bdf998a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/regra-de-tres\">regra de tr&ecirc;s<\/span><\/strong>: faz-se a <span id=\"urn:enhancement-3fb83d79-4ba6-4c64-b2b7-58be1d7108fd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> cruzada das grandezas.<\/p><p class=\"wp-block-paragraph\"><em>1*6=2*x<\/em><br><em>6=2*x<\/em><br><em>6\/2=x<\/em><br><em><strong>3=x<\/strong><\/em><\/p><p class=\"wp-block-paragraph\">Com esses c&aacute;lculos proporcionais, sabe-se que para conseguir 6 x&iacute;caras de chocolate, ser&atilde;o precisos 3 litros de leite na receita. Perceba, ent&atilde;o, que essas igualdades s&atilde;o<strong> fundamentais para o dia a dia <\/strong>e, por isso, aparecem <strong><span id=\"urn:enhancement-20ae95e0-1825-4e4e-9aaf-51d217059fa3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> e <span id=\"urn:enhancement-cb100de2-ec36-4988-8f3a-0c6e877916f7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> em exerc&iacute;cios do <span id=\"urn:enhancement-dedad096-9d2e-40d7-9a89-83ad219c342f\" class=\"textannotation disambiguated wl-event\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/enem-64632\">Enem<\/span><\/strong>.&nbsp;<\/p><h2 class=\"wp-block-heading\" id=\"h-questao-de-razao-e-proporcao-no-enem\"><span class=\"ez-toc-section\" id=\"Questao-de-Razao-e-Proporcao-no-Enem\"><\/span>Quest&atilde;o de Raz&atilde;o e Propor&ccedil;&atilde;o no Enem<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Agora que voc&ecirc; j&aacute; teve acesso aos t&oacute;picos mais importantes sobre o assunto, treine seu conhecimento com uma das quest&otilde;es de <span id=\"urn:enhancement-276f341b-2d2f-4952-abf5-6e9bd64dd88d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> e <span id=\"urn:enhancement-1cca01c7-7d6a-4e9d-808c-96733a733212\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/proporcao\">propor&ccedil;&atilde;o<\/span> do <span id=\"urn:enhancement-7bfcc88e-c535-4524-851d-a2a8b0aefb39\" class=\"textannotation disambiguated wl-event\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/enem-64632\">Enem<\/span>..<\/p><p class=\"wp-block-paragraph\">Em um certo teatro, as poltronas s&atilde;o divididas em setores. A figura apresenta a vista do setor 3 desse teatro, no qual as cadeiras escuras est&atilde;o reservadas e as claras n&atilde;o foram vendidas.<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/oxdlwa9uKrRtl_caqja5X0iswkpcF3R8OMFe-MMy_cSh9N6RriAscvm78m8pW1DgzYo_UPxAjAo0Ul7FqJyqhCj8fV6niCebRk1YrxESGZsiihR2mTwh2Zp9GC5GvCv2g1pk_gA2=s0\" alt=\"exerc&iacute;cio de raz&atilde;o e propor&ccedil;&atilde;o no Enem\"><\/figure><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-5088f0cc-4cc6-472b-a7ea-1591d18bd7ec\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> que representa a quantidade de cadeiras reservadas do setor 3 em rela&ccedil;&atilde;o ao total de cadeiras desse mesmo setor &eacute;<\/p><p class=\"wp-block-paragraph\">a) 17\/70<br>b) 17\/53<br>c) 53\/70<br>d) 53\/17<br>e) 70\/17<\/p><p class=\"wp-block-paragraph\">Se considerarmos que a <span id=\"urn:enhancement-020e8f7c-38a2-4506-beb7-54c1318b2e04\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/multiplicacao\">multiplica&ccedil;&atilde;o<\/span> do n&uacute;mero de linhas (7) e de colunas (10) fornece o n&uacute;mero total de poltronas no setor 3, podemos afirmar que existem 7*10=<strong>70 <\/strong>cadeiras nessa parte do teatro.&nbsp;<\/p><p class=\"wp-block-paragraph\">Para encontrar a <span id=\"urn:enhancement-d6531e9c-a952-4222-9b6c-04bd8735e2a6\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> entre o n&uacute;mero de cadeiras ocupadas (17) e o n&uacute;mero de poltronas vazias, basta dividir um valor pelo outro: 17\/70. Como n&atilde;o existe nenhum divisor comum entre 17 e 70, essa &eacute; a fra&ccedil;&atilde;o irredut&iacute;vel que demonstra a <span id=\"urn:enhancement-73808822-22d8-4e57-a048-c9d729221794\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> requerida pelo exerc&iacute;cio.&nbsp;<\/p><p class=\"wp-block-paragraph\">Dessa maneira, a alternativa correta &eacute; a <strong>letra A: 17\/70.<\/strong><\/p><h2 class=\"wp-block-heading\" id=\"h-assista-uma-aula-gratis-de-razao-e-proporcao-no-enem\"><span class=\"ez-toc-section\" id=\"Assista-uma-aula-gratis-de-Razao-e-proporcao-no-Enem\"><\/span>Assista uma aula gr&aacute;tis de Raz&atilde;o e propor&ccedil;&atilde;o no Enem<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Na aula a seguir, o professor Xande de matem&aacute;tica, te instrui com as informa&ccedil;&otilde;es adequadas para consolidar ainda mais o seu conhecimento sobre proporcionalidade no <span id=\"urn:enhancement-8e5d3a25-f512-4bf7-89e3-592b611bc4f9\" class=\"textannotation disambiguated wl-event\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/enem-64632\">Enem<\/span>. Assista, &eacute; gratuito!<\/p><figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"cs-embed cs-embed-responsive\"><iframe title=\"Matem&aacute;tica do B&aacute;sico ao Avan&ccedil;ado: Propor&ccedil;&atilde;o, Porcentagem e Regra de Tr&ecirc;s | Prof. Xande\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/tpQKVaPEvuM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/div>\n<\/div><\/figure><p class=\"wp-block-paragraph\">Acesse informa&ccedil;&otilde;es sobre o nosso curso<strong> SPRINT <span id=\"urn:enhancement-a0a6f45b-b841-467f-9085-5c1fd0159324\" class=\"textannotation disambiguated wl-event\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/enem-64632\">ENEM<\/span><\/strong>, com ele voc&ecirc; revisa todo seu ano de cursinho at&eacute; a data do <span id=\"urn:enhancement-ea91efc5-1fba-4751-8da5-537cf977eed3\" class=\"textannotation disambiguated wl-event\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/enem-64632\">Enem<\/span> e chega na prova dominando o conte&uacute;do. Aproveite tamb&eacute;m para conhecer nosso <a href=\"https:\/\/vestibulares.estrategiaeducacional.com.br\/\" target=\"_blank\"><strong>banco de quest&otilde;es exclusivo<\/strong><\/a> para treinar o seu aprendizado! Clique no banner abaixo:<\/p><figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"800\" height=\"343\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/07\/ESTRATEGIA.jpg\" alt=\"Estrat&eacute;gia Vestibulares cursos\" class=\"wp-image-52500\" srcset=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/07\/ESTRATEGIA.jpg 800w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/07\/ESTRATEGIA-300x129.jpg 300w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/07\/ESTRATEGIA-768x329.jpg 768w, https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/07\/ESTRATEGIA-380x163.jpg 380w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure><h3 class=\"wp-block-heading\" id=\"h-selecao-de-conteudos-da-coruja\">Sele&ccedil;&atilde;o de conte&uacute;dos da Coruja:<\/h3><ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/regra-de-sinais\/\">Regra de Sinais: o que &eacute; e como funciona o jogo de sinais<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/regra-de-tres\/\">Regra de Tr&ecirc;s Simples e Composta: como calcular?<\/a><\/li>\n<\/ul><\/p>\n","protected":false},"excerpt":{"rendered":"O desenvolvimento de uma receita culin&aacute;ria, o rendimento de um carro por litro de combust&iacute;vel, a quantidade de&hellip;\n","protected":false},"author":23,"featured_media":55246,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-55244","post","type-post","status-publish","format-standard","has-post-thumbnail","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>raz\u00e3o e propor\u00e7\u00e3o no Enem: como cai? - Estrat\u00e9gia Vestibulares<\/title>\n<meta name=\"description\" content=\"o Estrat\u00e9gia Vestibulares preparou um resumo sobre raz\u00e3o e propor\u00e7\u00e3o no Enem: conceitos, usos\u00a0e quest\u00f5es que aparecem sobre o tema. 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