{"id":225168,"date":"2025-06-03T21:11:40","date_gmt":"2025-06-03T21:11:40","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225168"},"modified":"2025-06-03T21:11:42","modified_gmt":"2025-06-03T21:11:42","slug":"express-3-75-into-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/express-3-75-into-fraction\/","title":{"rendered":"Express 3.75 into Fraction"},"content":{"rendered":"\n

. Express 3.75 into Fraction<\/p>\n\n\n\n

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

Fraction Form of 3.75:<\/strong><\/h3>\n\n\n\n

The decimal 3.75<\/strong> can be expressed as a fraction in simplest form<\/strong> as:<\/p>\n\n\n\n

\n

3.75 = 15\/4<\/strong><\/p>\n<\/blockquote>\n\n\n\n

\n\n\n\n

Step-by-Step Conversion:<\/strong><\/h3>\n\n\n\n
    \n
  1. Understand the Decimal:<\/strong>\n
      \n
    • The number 3.75<\/strong> consists of a whole number part (3)<\/strong> and a decimal part (.75)<\/strong>.<\/li>\n\n\n\n
    • This means: 3.75=3+0.753.75 = 3 + 0.75<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Convert the Decimal (.75) into a Fraction:<\/strong>\n
        \n
      • 0.75 means 75 hundredths<\/strong>, or: 0.75=751000.75 = \\frac{75}{100}<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Simplify the Fraction:<\/strong>\n
          \n
        • Find the greatest common divisor (GCD)<\/strong> of 75 and 100, which is 25<\/strong>: 75\u00f725100\u00f725=34\\frac{75 \\div 25}{100 \\div 25} = \\frac{3}{4}<\/li>\n<\/ul>\n<\/li>\n\n\n\n
        • Add the Whole Number Part:<\/strong>\n
            \n
          • We now add the whole number 3 to the fraction 3\/4: 3+34=124+34=1543 + \\frac{3}{4} = \\frac{12}{4} + \\frac{3}{4} = \\frac{15}{4}<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n
            \n\n\n\n

            Why This Works \u2013 Detailed Explanation<\/strong><\/h3>\n\n\n\n

            Converting a decimal like 3.75<\/strong> into a fraction involves understanding both place value and how fractions represent parts of a whole. Decimals and fractions are two different ways to show numbers that are not whole.<\/p>\n\n\n\n

            The decimal 3.75<\/strong> means “three wholes and seventy-five hundredths.” The decimal part, 0.75<\/strong>, tells us that we are looking at 75 parts out of 100. That’s how we get the initial fraction 75\/100<\/strong>. However, most fractions can be simplified by dividing both the numerator (top number) and the denominator (bottom number) by the same value \u2014 the greatest common divisor (GCD). Since both 75 and 100 are divisible by 25, we simplify 75\/100<\/strong> to 3\/4<\/strong>.<\/p>\n\n\n\n

            Next, we add this to the whole number part of 3. In fractional form, 3 is equivalent to 12\/4<\/strong> (since 3 \u00d7 4 = 12). Adding 12\/4<\/strong> and 3\/4<\/strong> gives 15\/4<\/strong>.<\/p>\n\n\n\n

            This result, 15\/4<\/strong>, is called an improper fraction<\/strong> because the numerator is larger than the denominator. It accurately represents the same value as the decimal 3.75. If needed, you can also write this as a mixed number<\/strong>, which is 3 3\/4<\/strong>.<\/p>\n\n\n\n

            Understanding how to convert between decimals and fractions helps in math problems involving measurement, money, and percentages, and builds stronger number sense overall.<\/p>\n\n\n\n

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

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

            . Express 3.75 into Fraction The Correct Answer and Explanation is: Fraction Form of 3.75: The decimal 3.75 can be expressed as a fraction in simplest form as: 3.75 = 15\/4 Step-by-Step Conversion: Why This Works \u2013 Detailed Explanation Converting a decimal like 3.75 into a fraction involves understanding both place value and how fractions […]<\/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-225168","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225168","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=225168"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225168\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225168"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225168"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225168"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}