{"id":235701,"date":"2025-06-15T15:30:20","date_gmt":"2025-06-15T15:30:20","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=235701"},"modified":"2025-06-15T15:30:21","modified_gmt":"2025-06-15T15:30:21","slug":"use-a-common-denominator-to-write-an-equivalent-fraction-for-1-2-and-3-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/15\/use-a-common-denominator-to-write-an-equivalent-fraction-for-1-2-and-3-8\/","title":{"rendered":"use a common denominator to write an equivalent fraction for 1\/2 and 3\/8"},"content":{"rendered":"\n

use a common denominator to write an equivalent fraction for 1\/2 and 3\/8<\/p>\n\n\n\n

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

To write equivalent fractions for 1\/2<\/strong> and 3\/8<\/strong> using a common denominator, the least common denominator (LCD) of the two fractions must be found. The denominators are 2 and 8. The least common multiple (LCM) of 2 and 8 is 8<\/strong>. Therefore, both fractions will be rewritten with 8 as the denominator.<\/p>\n\n\n\n

The fraction 3\/8<\/strong> already has 8 as the denominator, so it remains unchanged.<\/p>\n\n\n\n

To convert 1\/2<\/strong> to a fraction with a denominator of 8, multiply both the numerator and the denominator by 4:1\/2=(1\u00d74)\/(2\u00d74)=4\/81\/2 = (1 \u00d7 4) \/ (2 \u00d7 4) = 4\/81\/2=(1\u00d74)\/(2\u00d74)=4\/8<\/p>\n\n\n\n

So, the two equivalent fractions with the same denominator are:1\/2=4\/8and3\/8=3\/81\/2 = 4\/8 \\quad \\text{and} \\quad 3\/8 = 3\/81\/2=4\/8and3\/8=3\/8<\/p>\n\n\n\n

\n\n\n\n

Explanation (300 words):<\/strong><\/p>\n\n\n\n

Fractions are mathematical expressions that represent parts of a whole. When comparing or combining fractions, it is important to have a common denominator. This common denominator helps align the fractions to the same “unit size,” which makes addition, subtraction, and comparison possible.<\/p>\n\n\n\n

In this case, the fractions 1\/2<\/strong> and 3\/8<\/strong> need to be rewritten with the same denominator. The process begins by identifying the least common denominator. The original denominators are 2 and 8. Listing the multiples of each helps determine the least common multiple. The multiples of 2 are 2, 4, 6, 8, 10, and so on. The multiples of 8 are 8, 16, 24, and so on. The first shared value is 8, making it the least common denominator.<\/p>\n\n\n\n

The next step involves rewriting 1\/2<\/strong> with 8 as the denominator. Since 2 multiplied by 4 equals 8, the numerator must also be multiplied by 4 to keep the value of the fraction the same. This transforms 1\/2<\/strong> into 4\/8<\/strong>. The other fraction, 3\/8<\/strong>, already has 8 as the denominator, so no change is needed.<\/p>\n\n\n\n

With both fractions now having the same denominator, 4\/8<\/strong> and 3\/8<\/strong> can be directly compared or combined. This method ensures that operations involving fractions are accurate and consistent.<\/p>\n\n\n\n

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

use a common denominator to write an equivalent fraction for 1\/2 and 3\/8 The Correct Answer and Explanation is: To write equivalent fractions for 1\/2 and 3\/8 using a common denominator, the least common denominator (LCD) of the two fractions must be found. The denominators are 2 and 8. The least common multiple (LCM) of […]<\/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-235701","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235701","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=235701"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/235701\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=235701"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=235701"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=235701"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}