{"id":155135,"date":"2024-10-15T19:46:23","date_gmt":"2024-10-15T19:46:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=155135"},"modified":"2024-10-15T19:46:25","modified_gmt":"2024-10-15T19:46:25","slug":"which-expression-is-equivalent-to-3-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/15\/which-expression-is-equivalent-to-3-5\/","title":{"rendered":"Which expression is equivalent to 3\/5"},"content":{"rendered":"\n<p>Which expression is equivalent to 3\/5<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To find expressions equivalent to ( \\frac{3}{5} ), we can explore a few methods, including multiplication by a fraction or a whole number, and representation as a decimal or percentage.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Equivalent Fractions<\/h3>\n\n\n\n<p>One of the simplest ways to generate equivalent fractions is by multiplying both the numerator (top number) and the denominator (bottom number) by the same non-zero integer. For example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply by 2:<br>[<br>\\frac{3 \\times 2}{5 \\times 2} = \\frac{6}{10}<br>]<\/li>\n\n\n\n<li>Multiply by 3:<br>[<br>\\frac{3 \\times 3}{5 \\times 3} = \\frac{9}{15}<br>]<\/li>\n\n\n\n<li>Multiply by 4:<br>[<br>\\frac{3 \\times 4}{5 \\times 4} = \\frac{12}{20}<br>]<\/li>\n<\/ul>\n\n\n\n<p>Each of these fractions\u2014( \\frac{6}{10} ), ( \\frac{9}{15} ), and ( \\frac{12}{20} )\u2014is equivalent to ( \\frac{3}{5} ) because they simplify back to ( \\frac{3}{5} ) when you divide the numerator and denominator by their greatest common divisor.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Decimal and Percentage Forms<\/h3>\n\n\n\n<p>Another way to express ( \\frac{3}{5} ) is by converting it into a decimal or a percentage. To convert a fraction to a decimal, divide the numerator by the denominator:<\/p>\n\n\n\n<p>[<br>\\frac{3}{5} = 3 \\div 5 = 0.6<br>]<\/p>\n\n\n\n<p>To express it as a percentage, multiply the decimal form by 100:<\/p>\n\n\n\n<p>[<br>0.6 \\times 100 = 60\\%<br>]<\/p>\n\n\n\n<p>Thus, ( \\frac{3}{5} ) can also be represented as ( 0.6 ) or ( 60\\% ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary<\/h3>\n\n\n\n<p>In summary, ( \\frac{3}{5} ) can be represented in multiple ways: as equivalent fractions like ( \\frac{6}{10} ), ( \\frac{9}{15} ), or ( \\frac{12}{20} ); as a decimal ( 0.6 ); and as a percentage ( 60\\% ). Understanding these various forms helps in different mathematical contexts, such as comparing proportions or performing calculations that require different representations.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 3\/5 The Correct Answer and Explanation is : To find expressions equivalent to ( \\frac{3}{5} ), we can explore a few methods, including multiplication by a fraction or a whole number, and representation as a decimal or percentage. Equivalent Fractions One of the simplest ways to generate equivalent fractions is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-155135","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=155135"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/155135\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=155135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=155135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=155135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}