{"id":228485,"date":"2025-06-07T10:10:24","date_gmt":"2025-06-07T10:10:24","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=228485"},"modified":"2025-06-07T10:10:50","modified_gmt":"2025-06-07T10:10:50","slug":"write-4-75-as-a-mixed-number-in-simplest-form-4-75-4-3-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/07\/write-4-75-as-a-mixed-number-in-simplest-form-4-75-4-3-4\/","title":{"rendered":"Write 4.75 as a mixed number in simplest form. 4.75 = 4 3\/4"},"content":{"rendered":"\n

Write 4.75 as a mixed number in simplest form. 4.75 = 4 3\/4 Write 0.21 fraction in simplest form. 0.21 = 21\/100 Write 0.48 as a fraction in simplest form. 0.48 = 12\/25 Write 0.72 as a fraction in simplest form. 0.72 = 18\/25 Write 63 45 fraction in simplest form. 0.63 = 63\/100<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

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

Correct Answers:<\/h3>\n\n\n\n
    \n
  1. 4.75 as a mixed number in simplest form<\/strong>
    Answer:<\/strong> 4344 \\dfrac{3}{4}443\u200b<\/li>\n\n\n\n
  2. 0.21 as a fraction in simplest form<\/strong>
    Answer:<\/strong> 21100\\dfrac{21}{100}10021\u200b<\/li>\n\n\n\n
  3. 0.48 as a fraction in simplest form<\/strong>
    Answer:<\/strong> 1225\\dfrac{12}{25}2512\u200b<\/li>\n\n\n\n
  4. 0.72 as a fraction in simplest form<\/strong>
    Answer:<\/strong> 1825\\dfrac{18}{25}2518\u200b<\/li>\n\n\n\n
  5. 0.63 as a fraction in simplest form<\/strong>
    Answer:<\/strong> 63100\\dfrac{63}{100}10063\u200b<\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

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

    Converting decimals to fractions involves understanding place value and simplifying the resulting fraction. Let\u2019s take each example:<\/p>\n\n\n\n

    1. 4.75 \u2192 4 3\/4<\/strong>
    Separate the whole number from the decimal. The decimal 0.75<\/strong> equals 75\/100<\/strong>. Simplify by dividing both numerator and denominator by 25:75100=34\\frac{75}{100} = \\frac{3}{4}10075\u200b=43\u200b<\/p>\n\n\n\n

    So, 4.75 = 4 3\/4<\/strong>.<\/p>\n\n\n\n

    2. 0.21 \u2192 21\/100<\/strong>
    Since 0.21 has two decimal places, it can be written directly as 21\/100<\/strong>, which is already in simplest form.<\/p>\n\n\n\n

    3. 0.48 \u2192 48\/100<\/strong>
    Now simplify:48100=1225(divided both numerator and denominator by 4)\\frac{48}{100} = \\frac{12}{25} \\quad (\\text{divided both numerator and denominator by 4})10048\u200b=2512\u200b(divided both numerator and denominator by 4)<\/p>\n\n\n\n

    4. 0.72 \u2192 72\/100<\/strong>
    Simplify by dividing both terms by 4:72100=1825\\frac{72}{100} = \\frac{18}{25}10072\u200b=2518\u200b<\/p>\n\n\n\n

    5. 0.63 \u2192 63\/100<\/strong>
    This is already in simplest form. There is no common factor (other than 1) between 63 and 100.<\/p>\n\n\n\n

    \n\n\n\n

    Final Note:<\/h3>\n\n\n\n

    Always reduce fractions to simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD). For decimals, count the decimal places to decide the denominator (e.g., 0.48 has two decimal places \u2192 denominator of 100), then simplify. Mixed numbers should separate the whole part from the decimal before converting.<\/p>\n\n\n\n

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

    Write 4.75 as a mixed number in simplest form. 4.75 = 4 3\/4 Write 0.21 fraction in simplest form. 0.21 = 21\/100 Write 0.48 as a fraction in simplest form. 0.48 = 12\/25 Write 0.72 as a fraction in simplest form. 0.72 = 18\/25 Write 63 45 fraction in simplest form. 0.63 = 63\/100 The […]<\/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-228485","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228485","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=228485"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/228485\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=228485"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=228485"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=228485"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}