{"id":260719,"date":"2025-07-19T16:15:37","date_gmt":"2025-07-19T16:15:37","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=260719"},"modified":"2025-07-19T16:15:39","modified_gmt":"2025-07-19T16:15:39","slug":"what-is-the-missing-number-that-makes-the-fractions-equivalent","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/19\/what-is-the-missing-number-that-makes-the-fractions-equivalent\/","title":{"rendered":"What is the missing number that makes the fractions equivalent"},"content":{"rendered":"\n

What is the missing number that makes the fractions equivalent? 1 4\/7=?\/42<\/p>\n\n\n\n

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

To find the missing number that makes the fractions equivalent, we need to express 1 4\/7<\/strong> as a fraction with a denominator of 42<\/strong>.<\/p>\n\n\n\n

Step-by-Step Solution:<\/h3>\n\n\n\n
    \n
  1. Convert 1 4\/7 into an improper fraction:<\/strong> The mixed number 1 4\/7<\/strong> consists of the whole number 1<\/strong> and the fraction 4\/7<\/strong>. To convert it into an improper fraction, multiply the whole number 1<\/strong> by the denominator 7<\/strong> and then add the numerator of the fraction 4<\/strong>. 147=(1\u00d77)+47=7+47=1171 \\frac{4}{7} = \\frac{(1 \\times 7) + 4}{7} = \\frac{7 + 4}{7} = \\frac{11}{7}174\u200b=7(1\u00d77)+4\u200b=77+4\u200b=711\u200b<\/li>\n\n\n\n
  2. Set up the proportion:<\/strong> Now that we have the improper fraction 11\/7<\/strong>, we want to find the equivalent fraction with a denominator of 42<\/strong>. We can write this as a proportion: 117=x42\\frac{11}{7} = \\frac{x}{42}711\u200b=42x\u200b Where x<\/strong> is the missing numerator we need to solve for.<\/li>\n\n\n\n
  3. Cross multiply to solve for x:<\/strong> To solve for x<\/strong>, we cross-multiply the proportion: 11\u00d742=7\u00d7x11 \\times 42 = 7 \\times x11\u00d742=7\u00d7x Simplifying the multiplication: 462=7×462 = 7×462=7x<\/li>\n\n\n\n
  4. Solve for x:<\/strong> Now, divide both sides of the equation by 7<\/strong> to isolate x<\/strong>: x=4627=66x = \\frac{462}{7} = 66x=7462\u200b=66<\/li>\n<\/ol>\n\n\n\n

    Conclusion:<\/h3>\n\n\n\n

    The missing number is 66<\/strong>. Therefore, the fraction equivalent to 1 4\/7<\/strong> with a denominator of 42<\/strong> is 66\/42<\/strong>.<\/p>\n\n\n\n

    By following these steps, we can see that multiplying both the numerator and the denominator of the original fraction by 6<\/strong> (since 42 \u00f7 7 = 6) gives us the equivalent fraction 66\/42<\/strong>. This confirms that the two fractions are indeed equal.<\/p>\n\n\n\n

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

    What is the missing number that makes the fractions equivalent? 1 4\/7=?\/42 The Correct Answer and Explanation is: To find the missing number that makes the fractions equivalent, we need to express 1 4\/7 as a fraction with a denominator of 42. Step-by-Step Solution: Conclusion: The missing number is 66. Therefore, the fraction equivalent to […]<\/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-260719","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260719","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=260719"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260719\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}