{"id":240260,"date":"2025-07-03T08:09:40","date_gmt":"2025-07-03T08:09:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=240260"},"modified":"2025-07-03T08:09:42","modified_gmt":"2025-07-03T08:09:42","slug":"which-of-the-fractions-is-equivalent-to-2-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/03\/which-of-the-fractions-is-equivalent-to-2-5\/","title":{"rendered":"Which of the fractions is equivalent to 2\/5"},"content":{"rendered":"\n

Which of the fractions is equivalent to 2\/5<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

The fraction equivalent to 25\\frac{2}{5}52\u200b can be found by multiplying both the numerator (2) and the denominator (5) by the same number, a process known as “scaling” or “multiplying by a factor.” When two fractions have the same ratio between the numerator and denominator, they are considered equivalent.<\/p>\n\n\n\n

Let’s explore a few possibilities:<\/p>\n\n\n\n

    \n
  1. Multiplying by 2<\/strong>:
    If we multiply both the numerator and denominator of 25\\frac{2}{5}52\u200b by 2: 25\u00d722=410\\frac{2}{5} \\times \\frac{2}{2} = \\frac{4}{10}52\u200b\u00d722\u200b=104\u200b Thus, 410\\frac{4}{10}104\u200b is equivalent to 25\\frac{2}{5}52\u200b.<\/li>\n\n\n\n
  2. Multiplying by 3<\/strong>:
    Similarly, multiplying both parts of 25\\frac{2}{5}52\u200b by 3: 25\u00d733=615\\frac{2}{5} \\times \\frac{3}{3} = \\frac{6}{15}52\u200b\u00d733\u200b=156\u200b So, 615\\frac{6}{15}156\u200b is another equivalent fraction.<\/li>\n\n\n\n
  3. Multiplying by 4<\/strong>:
    We can also scale by 4: 25\u00d744=820\\frac{2}{5} \\times \\frac{4}{4} = \\frac{8}{20}52\u200b\u00d744\u200b=208\u200b In this case, 820\\frac{8}{20}208\u200b is equivalent to 25\\frac{2}{5}52\u200b.<\/li>\n<\/ol>\n\n\n\n

    Why Does This Work?<\/strong>
    Fractions represent division. For example, 25\\frac{2}{5}52\u200b represents 2 divided by 5, or 0.4. To find an equivalent fraction, we need to scale the original fraction in such a way that the result still represents the same value. The key point here is that when you multiply the numerator and the denominator of a fraction by the same number (whether it\u2019s 2, 3, 4, or any other nonzero number), you are not changing the value of the fraction. You are simply expressing it in a different form.<\/p>\n\n\n\n

    In summary<\/strong>, fractions like 410\\frac{4}{10}104\u200b, 615\\frac{6}{15}156\u200b, and 820\\frac{8}{20}208\u200b are all equivalent to 25\\frac{2}{5}52\u200b because they maintain the same value (0.4), even though they look different in their numerators and denominators.<\/p>\n\n\n\n

    \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

    Which of the fractions is equivalent to 2\/5 The Correct Answer and Explanation is: The fraction equivalent to 25\\frac{2}{5}52\u200b can be found by multiplying both the numerator (2) and the denominator (5) by the same number, a process known as “scaling” or “multiplying by a factor.” When two fractions have the same ratio between the […]<\/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-240260","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240260","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=240260"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/240260\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=240260"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=240260"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=240260"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}