{"id":151657,"date":"2024-10-10T08:29:34","date_gmt":"2024-10-10T08:29:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=151657"},"modified":"2024-10-10T08:29:37","modified_gmt":"2024-10-10T08:29:37","slug":"an-equivalent-fraction-to-5-16-is","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/10\/an-equivalent-fraction-to-5-16-is\/","title":{"rendered":"An equivalent fraction to 5\/16 is"},"content":{"rendered":"\n

An equivalent fraction to 5\/16 is
a. 5\/32
b. 10\/32
c.1\/2
d. 10\/16<\/p>\n\n\n\n

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

The correct answer is b. 10\/32<\/strong>.<\/p>\n\n\n\n

Explanation:<\/h3>\n\n\n\n

To find an equivalent fraction, we need to understand that equivalent fractions are different fractions that represent the same value or proportion of a whole. To create an equivalent fraction, you can multiply or divide the numerator (the top number) and the denominator (the bottom number) by the same non-zero number.<\/p>\n\n\n\n

Let\u2019s take the fraction ( \\frac{5}{16} ) as our starting point. We can find an equivalent fraction by multiplying both the numerator and the denominator by the same number.<\/p>\n\n\n\n

For example, if we multiply both the numerator and the denominator of ( \\frac{5}{16} ) by 2:<\/p>\n\n\n\n

[
\\frac{5 \\times 2}{16 \\times 2} = \\frac{10}{32}
]<\/p>\n\n\n\n

Thus, ( \\frac{10}{32} ) is an equivalent fraction to ( \\frac{5}{16} ).<\/p>\n\n\n\n

Now, let\u2019s analyze the other options provided:<\/p>\n\n\n\n

    \n
  • a. ( \\frac{5}{32} )<\/strong>: This fraction has a numerator smaller than that of ( \\frac{5}{16} ), and while it has the same numerator, the denominator has changed, which reduces the overall value of the fraction. Therefore, it is not equivalent to ( \\frac{5}{16} ).<\/li>\n\n\n\n
  • c. ( \\frac{1}{2} )<\/strong>: To compare this with ( \\frac{5}{16} ), we can convert ( \\frac{1}{2} ) to a fraction with a denominator of 16. ( \\frac{1}{2} = \\frac{8}{16} ). Since ( \\frac{8}{16} ) is not equal to ( \\frac{5}{16} ), this option is also not equivalent.<\/li>\n\n\n\n
  • d. ( \\frac{10}{16} )<\/strong>: While the numerator is correct, the denominator has changed, resulting in a larger fraction, which represents a different value. This fraction simplifies to ( \\frac{5}{8} ), clearly not equivalent to ( \\frac{5}{16} ).<\/li>\n<\/ul>\n\n\n\n

    In conclusion, the only correct equivalent fraction among the options given is b. ( \\frac{10}{32} )<\/strong>, confirming that equivalent fractions maintain the same value even if their appearance differs.<\/p>\n","protected":false},"excerpt":{"rendered":"

    An equivalent fraction to 5\/16 isa. 5\/32b. 10\/32c.1\/2d. 10\/16 The Correct Answer and Explanation is : The correct answer is b. 10\/32. Explanation: To find an equivalent fraction, we need to understand that equivalent fractions are different fractions that represent the same value or proportion of a whole. To create an equivalent fraction, you can […]<\/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-151657","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151657","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=151657"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/151657\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=151657"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=151657"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=151657"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}