{"id":156937,"date":"2024-10-17T18:27:39","date_gmt":"2024-10-17T18:27:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156937"},"modified":"2024-10-17T18:27:42","modified_gmt":"2024-10-17T18:27:42","slug":"write-4-75-as-a-mixed-number-with-a-fraction-in-simplest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/write-4-75-as-a-mixed-number-with-a-fraction-in-simplest-form\/","title":{"rendered":"Write 4.75 as a mixed number with a fraction in simplest form \u200b"},"content":{"rendered":"\n

Write 4.75 as a mixed number with a fraction in simplest form \u200b<\/p>\n\n\n\n

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

To convert the decimal 4.75 into a mixed number, we can break it down into its whole number and fractional parts. The whole number part is straightforward; it\u2019s 4. The decimal part, 0.75, needs to be converted into a fraction.<\/p>\n\n\n\n

    \n
  1. Understanding the decimal<\/strong>: The decimal 0.75 can be read as “75 hundredths,” which means it can be expressed as the fraction (\\frac{75}{100}).<\/li>\n\n\n\n
  2. Simplifying the fraction<\/strong>: To simplify (\\frac{75}{100}), we need to find the greatest common divisor (GCD) of 75 and 100. The GCD of 75 and 100 is 25. We divide both the numerator and denominator by 25: [
    \\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}
    ] Thus, (0.75) simplifies to (\\frac{3}{4}).<\/li>\n\n\n\n
  3. Combining the whole number and the fraction<\/strong>: Now that we have both parts, we can combine them to express 4.75 as a mixed number: [
    4.75 = 4 + 0.75 = 4 + \\frac{3}{4}
    ] This can be written as the mixed number (4 \\frac{3}{4}).<\/li>\n\n\n\n
  4. Final result<\/strong>: The mixed number representation of 4.75 in simplest form is (4 \\frac{3}{4}).<\/li>\n<\/ol>\n\n\n\n

    Summary<\/h3>\n\n\n\n

    To recap, the steps taken to convert 4.75 into a mixed number involve separating the whole number from the decimal, converting the decimal into a fraction, simplifying that fraction, and then combining both parts into a mixed number. The key in this process is recognizing the decimal as a fraction and simplifying it correctly, allowing us to arrive at the final answer of (4 \\frac{3}{4}). This method can be applied to any decimal to convert it into a mixed number format.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Write 4.75 as a mixed number with a fraction in simplest form \u200b The Correct Answer and Explanation is : To convert the decimal 4.75 into a mixed number, we can break it down into its whole number and fractional parts. The whole number part is straightforward; it\u2019s 4. The decimal part, 0.75, needs 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-156937","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156937","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=156937"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156937\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156937"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156937"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156937"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}