{"id":22696,"date":"2022-10-22T23:29:01","date_gmt":"2022-10-22T22:29:01","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22696"},"modified":"2022-10-23T00:03:37","modified_gmt":"2022-10-22T23:03:37","slug":"fracoes-equivalentes-a-fracoes-decimais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22696","title":{"rendered":"Fra\u00e7\u00f5es equivalentes a fra\u00e7\u00f5es decimais"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p><ul id='GTTabs_ul_22696' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22696' class='GTTabs_curr'><a  id=\"22696_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22696' ><a  id=\"22696_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_22696'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>De\u00a0 entre as fra\u00e7\u00f5es \\[\\begin{array}{*{20}{l}}{\\frac{9}{5}}&amp;{}&amp;{\\frac{{21}}{{40}}}&amp;{}&amp;{\\frac{{19}}{6}}\\end{array}\\] identifica as fra\u00e7\u00f5es equivalentes a fra\u00e7\u00f5es decimais e escreve-as na forma de d\u00edzima.<\/p>\n<p>Justifica a tua resposta e apresenta todos os c\u00e1lculos que efetuares.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22696' onClick='GTTabs_show(1,22696)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22696'>\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>Tendo em considera\u00e7\u00e3o esta defini\u00e7\u00e3o, vem:<\/p>\n<table style=\"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<td><strong>D\u00edzima<\/strong><\/td>\n<\/tr>\n<tr>\n<td>\\({\\frac{9}{5}}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{9}{5} = \\frac{{{3^2}}}{5}\\)<\/td>\n<td>Sim<\/td>\n<td style=\"text-align: left;\">\\(\\frac{9}{5} = \\frac{{{3^2}}}{5} \\times \\frac{2}{2} = \\frac{{18}}{{10}}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{9}{5} = \\frac{{18}}{{10}} = 1,8\\)<\/td>\n<\/tr>\n<tr>\n<td>\\({\\frac{{21}}{{40}}}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{21}}{{40}} = \\frac{{3 \\times 7}}{{{2^3} \\times 5}}\\)<\/td>\n<td>Sim<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{21}}{{40}} = \\frac{{3 \\times 7}}{{{2^3} \\times 5}} \\times \\frac{{{5^2}}}{{{5^2}}} = \\frac{{525}}{{1000}}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{21}}{{40}} = \\frac{{525}}{{1000}} = 0,525\\)<\/td>\n<\/tr>\n<tr>\n<td>\\({\\frac{{19}}{6}}\\)<\/td>\n<td style=\"text-align: left;\">\\(\\frac{{19}}{6} = \\frac{{19}}{{2 \\times 3}}\\)<\/td>\n<td>N\u00e3o<\/td>\n<td style=\"text-align: left;\">\u00a0<\/td>\n<td style=\"text-align: left;\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22696' onClick='GTTabs_show(0,22696)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado De\u00a0 entre as fra\u00e7\u00f5es \\[\\begin{array}{*{20}{l}}{\\frac{9}{5}}&amp;{}&amp;{\\frac{{21}}{{40}}}&amp;{}&amp;{\\frac{{19}}{6}}\\end{array}\\] identifica as fra\u00e7\u00f5es equivalentes a fra\u00e7\u00f5es decimais e escreve-as na forma de d\u00edzima. Justifica a tua resposta e apresenta todos os c\u00e1lculos que efetuares. Resolu\u00e7\u00e3o &gt;&gt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14083,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,668,667],"series":[],"class_list":["post-22696","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-dizimas","tag-fracao-decimal"],"views":1113,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat28.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22696","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=22696"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22696\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22696"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22696"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22696"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22696"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}