To find a fraction equivalent to 2130\\frac{21}{30}3021\u200b with a numerator of 7 and a denominator of 120, we need to determine a common factor between the numerator and denominator that allows us to adjust the fraction accordingly. Here\u2019s how we can approach it:<\/p>\n\n\n\n
Step 1: Simplify 2130\\frac{21}{30}3021\u200b<\/h3>\n\n\n\n
We begin by simplifying the fraction 2130\\frac{21}{30}3021\u200b. The greatest common divisor (GCD) of 21 and 30 is 3. Dividing both the numerator and the denominator by 3:2130=21\u00f7330\u00f73=710\\frac{21}{30} = \\frac{21 \\div 3}{30 \\div 3} = \\frac{7}{10}3021\u200b=30\u00f7321\u00f73\u200b=107\u200b<\/p>\n\n\n\n
Step 2: Find the Scaling Factor<\/h3>\n\n\n\n
Now, we want to transform 710\\frac{7}{10}107\u200b into a fraction with a numerator of 7 and a denominator of 120. To do this, we need to find the scaling factor, or the number by which we multiply the denominator of 710\\frac{7}{10}107\u200b to get 120. We do this by dividing the new denominator (120) by the old denominator (10):12010=12\\frac{120}{10} = 1210120\u200b=12<\/p>\n\n\n\n
Step 3: Scale the Numerator<\/h3>\n\n\n\n
Now that we know we need to multiply the denominator by 12, we do the same for the numerator. Multiply the numerator of 710\\frac{7}{10}107\u200b by 12:7\u00d712=847 \\times 12 = 847\u00d712=84<\/p>\n\n\n\n
Thus, we have:710\u00d71212=84120\\frac{7}{10} \\times \\frac{12}{12} = \\frac{84}{120}107\u200b\u00d71212\u200b=12084\u200b<\/p>\n\n\n\n
Step 4: Verify the Result<\/h3>\n\n\n\n
Finally, we check if 84120\\frac{84}{120}12084\u200b is equivalent to 2130\\frac{21}{30}3021\u200b. Simplifying 84120\\frac{84}{120}12084\u200b by dividing both the numerator and the denominator by their GCD, which is 12:84120=84\u00f712120\u00f712=710\\frac{84}{120} = \\frac{84 \\div 12}{120 \\div 12} = \\frac{7}{10}12084\u200b=120\u00f71284\u00f712\u200b=107\u200b<\/p>\n\n\n\n
Since 710\\frac{7}{10}107\u200b is equivalent to 2130\\frac{21}{30}3021\u200b, our result is correct.<\/p>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n
The fraction 84120\\frac{84}{120}12084\u200b is equivalent to 2130\\frac{21}{30}3021\u200b, with the numerator being 7 and the denominator 120.<\/p>\n\n\n\n Write a fraction equivalent to 21\/30 with numerator 7 denominator 120 The Correct Answer and Explanation is: To find a fraction equivalent to 2130\\frac{21}{30}3021\u200b with a numerator of 7 and a denominator of 120, we need to determine a common factor between the numerator and denominator that allows us to adjust the fraction accordingly. Here\u2019s […]<\/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-248885","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248885","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=248885"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/248885\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=248885"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=248885"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=248885"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}![\"\"](\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner8-340.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"