{"id":144055,"date":"2024-09-24T09:55:02","date_gmt":"2024-09-24T09:55:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=144055"},"modified":"2024-09-24T09:55:05","modified_gmt":"2024-09-24T09:55:05","slug":"write-3-75-as-a-mixed-number-and-as-an-improper-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/24\/write-3-75-as-a-mixed-number-and-as-an-improper-fraction\/","title":{"rendered":"Write 3.75 as a mixed number and as an improper fraction."},"content":{"rendered":"\n

Write 3.75 as a mixed number and as an improper fraction. Write vour answers in<\/p>\n\n\n\n

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

To write 3.75 as a mixed number and as an improper fraction:<\/p>\n\n\n\n

    \n
  1. Mixed Number<\/strong>:
    The number 3.75 consists of the whole number 3<\/strong> and the decimal 0.75<\/strong>. The decimal 0.75 can be written as a fraction:0.75=751000.75 = \\frac{75}{100}0.75=10075\u200bSimplifying this fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 25:75\u00f725100\u00f725=34\\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}100\u00f72575\u00f725\u200b=43\u200bSo, 3.75 can be written as the mixed number 3 \\frac{3}{4}<\/strong>.<\/li>\n\n\n\n
  2. Improper Fraction<\/strong>:
    To convert the mixed number 3343 \\frac{3}{4}343\u200b to an improper fraction, you first multiply the whole number by the denominator of the fraction and then add the numerator. The denominator stays the same:(3\u00d74)+3=12+3=15(3 \\times 4) + 3 = 12 + 3 = 15(3\u00d74)+3=12+3=15So, the improper fraction is:154\\frac{15}{4}415\u200b<\/li>\n<\/ol>\n\n\n\n

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

    Mixed Numbers<\/strong> represent a whole number and a fraction. In 3.75, the whole number is 3, and the decimal 0.75 can be converted into the fraction 3\/4.<\/p>\n\n\n\n

    Improper Fractions<\/strong> are fractions where the numerator is greater than the denominator. To convert a mixed number into an improper fraction, multiply the whole number by the denominator (in this case, 3 \u00d7 4 = 12) and add the numerator (3). This gives a new numerator of 15, while the denominator remains 4, making the improper fraction 15\/4.<\/p>\n\n\n\n

    Both forms are useful depending on the context: mixed numbers for everyday use and improper fractions for mathematical operations.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Write 3.75 as a mixed number and as an improper fraction. Write vour answers in The Correct answer and Explanation is: To write 3.75 as a mixed number and as an improper fraction: Explanation: Mixed Numbers represent a whole number and a fraction. In 3.75, the whole number is 3, and the decimal 0.75 can […]<\/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-144055","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144055","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=144055"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/144055\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=144055"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=144055"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=144055"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}