{"id":225133,"date":"2025-06-03T20:36:13","date_gmt":"2025-06-03T20:36:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=225133"},"modified":"2025-06-03T20:36:15","modified_gmt":"2025-06-03T20:36:15","slug":"convert-into-fractions","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/convert-into-fractions\/","title":{"rendered":"Convert into fractions"},"content":{"rendered":"\n

Convert into fractions. 3.125. Please show how you are solving, please.<\/p>\n\n\n\n

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

To convert 3.125<\/strong> into a fraction, we will follow step-by-step reasoning and then explain the logic clearly.<\/p>\n\n\n\n

\n\n\n\n

\u2705 Step-by-Step Conversion:<\/h3>\n\n\n\n

Step 1: Separate the whole number and the decimal.<\/strong>
3.125 has a whole number<\/strong> part: 3<\/strong>,
and a decimal<\/strong> part: 0.125<\/strong>.<\/p>\n\n\n\n

We will convert the decimal part into a fraction, then add it to the whole number.<\/p>\n\n\n\n

\n\n\n\n

Step 2: Convert 0.125 into a fraction.<\/strong><\/p>\n\n\n\n

    \n
  • 0.125 means “125 thousandths”, which can be written as:<\/li>\n<\/ul>\n\n\n\n

    0.125=12510000.125 = \\frac{125}{1000}<\/p>\n\n\n\n

    Now simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 125<\/strong>: 125\u00f71251000\u00f7125=18\\frac{125 \u00f7 125}{1000 \u00f7 125} = \\frac{1}{8}<\/p>\n\n\n\n

    \n\n\n\n

    Step 3: Add the whole number back.<\/strong>
    Now add the whole number 3 to the simplified fraction: 3+18=248+18=2583 + \\frac{1}{8} = \\frac{24}{8} + \\frac{1}{8} = \\frac{25}{8}<\/p>\n\n\n\n

    \n\n\n\n

    \u2705 Final Answer:<\/h3>\n\n\n\n

    258\\boxed{\\frac{25}{8}}<\/p>\n\n\n\n

    \n\n\n\n

    \ud83e\udde0 Explanation<\/h3>\n\n\n\n

    To convert a decimal like 3.125 to a fraction, we begin by understanding what the number represents. The number 3.125 consists of a whole number (3) and a decimal (0.125). The decimal part tells us how much more than 3 we have. In this case, it\u2019s one eighth more.<\/p>\n\n\n\n

    The decimal 0.125 is read as \u201cone hundred twenty-five thousandths.\u201d By writing it as a fraction over 1000, we get: 0.125=12510000.125 = \\frac{125}{1000}<\/p>\n\n\n\n

    To simplify, we look for the greatest common divisor (GCD). The GCD of 125 and 1000 is 125. Dividing both parts gives: 1251000=18\\frac{125}{1000} = \\frac{1}{8}<\/p>\n\n\n\n

    Now we bring back the whole number part. We rewrite 3 as a fraction with the same denominator (8) to add it easily: 3=2483 = \\frac{24}{8}<\/p>\n\n\n\n

    Then: 248+18=258\\frac{24}{8} + \\frac{1}{8} = \\frac{25}{8}<\/p>\n\n\n\n

    This is called an improper fraction<\/strong> because the numerator (25) is larger than the denominator (8). Improper fractions are often used in math and science because they are easier to work with in equations.<\/p>\n\n\n\n

    So, 3.125 = 25\/8<\/strong>. This method works for any decimal and helps develop a deep understanding of how numbers relate to each other in fraction form.<\/p>\n\n\n\n

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

    Convert into fractions. 3.125. Please show how you are solving, please. The Correct Answer and Explanation is: To convert 3.125 into a fraction, we will follow step-by-step reasoning and then explain the logic clearly. \u2705 Step-by-Step Conversion: Step 1: Separate the whole number and the decimal.3.125 has a whole number part: 3,and a decimal part: […]<\/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-225133","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225133","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=225133"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/225133\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=225133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=225133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=225133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}