\nEnunciado<\/b><\/span><\/p>\n
Qual dos n\u00fameros \$ – \\frac{8}{{13}}\$ e \$ – \\frac{3}{7}\$ \u00e9 maior?<\/p>\n
Resolu\u00e7\u00e3o >><\/a><\/span><\/div><\/div>\n\n
\nResolu\u00e7\u00e3o<\/b><\/span><\/p>\n
Reduzindo as respetivas fra\u00e7\u00f5es sim\u00e9tricas a igual denominador, temos:<\/p>\n
\\[\\begin{array}{*{20}{c}}{\\frac{8}{{\\mathop {13}\\limits_{\\left( 7 \\right)} }} = \\frac{{56}}{{91}}}&{\\rm{e}}&{\\frac{3}{{\\mathop 7\\limits_{\\left( {13} \\right)} }} = \\frac{{39}}{{91}}}\\end{array}\\]<\/p>\n
Como \$\\frac{{56}}{{91}} > \\frac{{39}}{{91}}\$, ent\u00e3o \$\\frac{8}{{13}} > \\frac{3}{7}\$.<\/p>\n
Como os respetivos valores sim\u00e9tricos est\u00e3o ordenados por ordem inversa, ser\u00e1 \$ – \\frac{3}{7} > – \\frac{8}{{13}}\$.<\/p>\n
Logo, \$ – \\frac{3}{7}\$ \u00e9 o maior dos dois n\u00fameros.<\/p>\n
$\"\"$ <\/p>\n
\u00a0<\/p>\n
Alternativa:<\/h6>\n
Reduzindo as respetivas fra\u00e7\u00f5es sim\u00e9tricas a igual numerador, temos:<\/p>\n
\\[\\begin{array}{*{20}{c}}{\\frac{8}{{\\mathop {13}\\limits_{\\left( 3 \\right)} }} = \\frac{{24}}{{39}}}&{\\rm{e}}&{\\frac{3}{{\\mathop 7\\limits_{\\left( 8 \\right)} }} = \\frac{{24}}{{56}}}\\end{array}\\]<\/p>\n
Como \$\\frac{{24}}{{39}} > \\frac{{24}}{{56}}\$, ent\u00e3o \$\\frac{8}{{13}} > \\frac{3}{7}\$.<\/p>\n
Como os respetivos valores sim\u00e9tricos est\u00e3o ordenados por ordem inversa, ser\u00e1 \$ – \\frac{3}{7} > – \\frac{8}{{13}}\$.<\/p>\n
Logo, \$ – \\frac{3}{7}\$ \u00e9 o maior dos dois n\u00fameros.<\/p>\n
<< Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"
Enunciado Resolu\u00e7\u00e3o Enunciado Qual dos n\u00fameros \$ – \\frac{8}{{13}}\$ e \$ – \\frac{3}{7}\$ \u00e9 maior? Resolu\u00e7\u00e3o >> Resolu\u00e7\u00e3o << Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19260,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,669],"series":[],"class_list":["post-22452","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-reta-numerica"],"views":230,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat81.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22452","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=22452"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22452\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19260"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22452"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22452"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22452"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22452"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}