{"id":22650,"date":"2022-10-22T17:17:07","date_gmt":"2022-10-22T16:17:07","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22650"},"modified":"2022-10-22T18:07:35","modified_gmt":"2022-10-22T17:07:35","slug":"considera-as-seguintes-fracoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22650","title":{"rendered":"Considera as seguintes fra\u00e7\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22650' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22650' class='GTTabs_curr'><a  id=\"22650_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22650' ><a  id=\"22650_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_22650'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera as seguintes fra\u00e7\u00f5es:<\/p>\n<p>\\[\\begin{array}{*{20}{c}}{\\frac{7}{3}}&amp;{\\frac{5}{8}}&amp;{\\frac{{45}}{6}}&amp;{\\frac{{121}}{{25}}}\\end{array}\\]<\/p>\n<p>Quais s\u00e3o as fra\u00e7\u00f5es equivalentes a fra\u00e7\u00f5es decimais?<\/p>\n<p><strong>[A]<\/strong> \\(\\begin{array}{*{20}{c}}{\\frac{7}{3}}&amp;{\\frac{{45}}{6}}\\end{array}\\)<\/p>\n<p><strong>[B]<\/strong> \\(\\begin{array}{*{20}{c}}{\\frac{5}{8}}&amp;{\\frac{7}{3}}\\end{array}\\)<\/p>\n<p><strong>[C]<\/strong> \\(\\begin{array}{*{20}{c}}{\\frac{5}{8}}&amp;{\\frac{{45}}{6}}&amp;{\\frac{{121}}{{25}}}\\end{array}\\)<\/p>\n<p><strong>[D]<\/strong> \\(\\begin{array}{*{20}{c}}{\\frac{7}{3}}&amp;{\\frac{{121}}{{25}}}\\end{array}\\)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22650' onClick='GTTabs_show(1,22650)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22650'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Uma fra\u00e7\u00e3o \u00e9 equivalente a uma fra\u00e7\u00e3o decimal se e s\u00f3 se, na forma irredut\u00edvel, o denominador n\u00e3o tem na sua decomposi\u00e7\u00e3o fatores primos diferentes de 2 e de 5.<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<table class=\" aligncenter\" style=\"width: 90%; border-collapse: collapse;\">\n<tbody>\n<tr>\n<td><strong>Fra\u00e7\u00e3o<\/strong><\/td>\n<td><strong>Forma irredut\u00edvel<\/strong><\/td>\n<td><strong>Fra\u00e7\u00e3o equivalente a fra\u00e7\u00e3o decimal?<\/strong><\/td>\n<td><strong>Fra\u00e7\u00e3o decimal equivalente<\/strong><\/td>\n<\/tr>\n<tr>\n<td>\\(\\frac{7}{3}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{7}{3}\\)<\/td>\n<td>N\u00e3o<\/td>\n<td style=\"text-align: left;\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\\(\\frac{5}{8}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{5}{8} = \\frac{5}{{{2^3}}}\\)<\/td>\n<td>Sim<\/td>\n<td style=\"text-align: left;\">\\(\\frac{5}{8} = \\frac{5}{{{2^3}}} \\times \\frac{{{5^3}}}{{{5^3}}} = \\frac{{625}}{{1000}}\\)<\/td>\n<\/tr>\n<tr>\n<td>\\(\\frac{{45}}{6}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{45}}{6} = \\frac{{{3^2} \\times 5}}{{2 \\times 3}} = \\frac{{3 \\times 5}}{2}\\)<\/td>\n<td>Sim<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{45}}{6} = \\frac{{{3^2} \\times 5}}{{2 \\times 3}} = \\frac{{3 \\times 5}}{2} \\times \\frac{5}{5} = \\frac{{75}}{{10}}\\)<\/td>\n<\/tr>\n<tr>\n<td>\\(\\frac{{121}}{{25}}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{121}}{{25}} = \\frac{{{{11}^2}}}{{{5^2}}}\\)<\/td>\n<td>Sim<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{121}}{{25}} = \\frac{{{{11}^2}}}{{{5^2}}} \\times \\frac{{{2^2}}}{{{2^2}}} = \\frac{{484}}{{100}}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Portanto, a op\u00e7\u00e3o correta \u00e9 <strong>[C]<\/strong>.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22650' onClick='GTTabs_show(0,22650)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera as seguintes fra\u00e7\u00f5es: \\[\\begin{array}{*{20}{c}}{\\frac{7}{3}}&amp;{\\frac{5}{8}}&amp;{\\frac{{45}}{6}}&amp;{\\frac{{121}}{{25}}}\\end{array}\\] Quais s\u00e3o as fra\u00e7\u00f5es equivalentes a fra\u00e7\u00f5es decimais? [A] \\(\\begin{array}{*{20}{c}}{\\frac{7}{3}}&amp;{\\frac{{45}}{6}}\\end{array}\\) [B] \\(\\begin{array}{*{20}{c}}{\\frac{5}{8}}&amp;{\\frac{7}{3}}\\end{array}\\) [C] \\(\\begin{array}{*{20}{c}}{\\frac{5}{8}}&amp;{\\frac{{45}}{6}}&amp;{\\frac{{121}}{{25}}}\\end{array}\\) [D] \\(\\begin{array}{*{20}{c}}{\\frac{7}{3}}&amp;{\\frac{{121}}{{25}}}\\end{array}\\) Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19257,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,665,666,668],"series":[],"class_list":["post-22650","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-dizima-finita","tag-dizima-infinita-periodica","tag-dizimas"],"views":257,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat78.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22650","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=22650"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22650\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19257"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22650"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22650"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22650"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22650"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}