{"id":246038,"date":"2025-07-06T17:42:23","date_gmt":"2025-07-06T17:42:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=246038"},"modified":"2025-07-06T17:42:25","modified_gmt":"2025-07-06T17:42:25","slug":"perform-the-indicated-operations-and-express-your-answer-simplest-form-16-24-6-12","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/06\/perform-the-indicated-operations-and-express-your-answer-simplest-form-16-24-6-12\/","title":{"rendered":"Perform the indicated operations and express your answer simplest form 16\/24-6\/12"},"content":{"rendered":"\n

Perform the indicated operations and express your answer simplest form 16\/24-6\/12<\/p>\n\n\n\n

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

Let’s break down the problem step by step:<\/p>\n\n\n\n

We are tasked with solving:1624\u2212612\\frac{16}{24} – \\frac{6}{12}2416\u200b\u2212126\u200b<\/p>\n\n\n\n

Step 1: Simplify Each Fraction<\/h3>\n\n\n\n

We will first simplify the fractions.<\/p>\n\n\n\n

Simplify 1624\\frac{16}{24}2416\u200b:<\/h4>\n\n\n\n

To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that GCD. The GCD of 16 and 24 is 8.1624=16\u00f7824\u00f78=23\\frac{16}{24} = \\frac{16 \\div 8}{24 \\div 8} = \\frac{2}{3}2416\u200b=24\u00f7816\u00f78\u200b=32\u200b<\/p>\n\n\n\n

Simplify 612\\frac{6}{12}126\u200b:<\/h4>\n\n\n\n

Similarly, the GCD of 6 and 12 is 6.612=6\u00f7612\u00f76=12\\frac{6}{12} = \\frac{6 \\div 6}{12 \\div 6} = \\frac{1}{2}126\u200b=12\u00f766\u00f76\u200b=21\u200b<\/p>\n\n\n\n

Step 2: Find a Common Denominator<\/h3>\n\n\n\n

Now that we have simplified the fractions to 23\\frac{2}{3}32\u200b and 12\\frac{1}{2}21\u200b, we need to perform the subtraction. However, we can\u2019t subtract fractions with different denominators directly, so we need to find a common denominator.<\/p>\n\n\n\n

The least common denominator (LCD) of 3 and 2 is 6.<\/p>\n\n\n\n

Step 3: Convert the Fractions to the Common Denominator<\/h3>\n\n\n\n

Now, we convert both fractions to have the denominator of 6.<\/p>\n\n\n\n

    \n
  • For 23\\frac{2}{3}32\u200b, we multiply both the numerator and denominator by 2:<\/li>\n<\/ul>\n\n\n\n

    23=2\u00d723\u00d72=46\\frac{2}{3} = \\frac{2 \\times 2}{3 \\times 2} = \\frac{4}{6}32\u200b=3\u00d722\u00d72\u200b=64\u200b<\/p>\n\n\n\n

      \n
    • For 12\\frac{1}{2}21\u200b, we multiply both the numerator and denominator by 3:<\/li>\n<\/ul>\n\n\n\n

      12=1\u00d732\u00d73=36\\frac{1}{2} = \\frac{1 \\times 3}{2 \\times 3} = \\frac{3}{6}21\u200b=2\u00d731\u00d73\u200b=63\u200b<\/p>\n\n\n\n

      Step 4: Perform the Subtraction<\/h3>\n\n\n\n

      Now, we subtract the two fractions:46\u221236=4\u221236=16\\frac{4}{6} – \\frac{3}{6} = \\frac{4 – 3}{6} = \\frac{1}{6}64\u200b\u221263\u200b=64\u22123\u200b=61\u200b<\/p>\n\n\n\n

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

      16\\frac{1}{6}61\u200b<\/p>\n\n\n\n

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

      In this problem, we first simplified the individual fractions and then converted them to a common denominator to perform the subtraction. The key steps involved:<\/p>\n\n\n\n

        \n
      1. Simplifying the fractions.<\/li>\n\n\n\n
      2. Finding a common denominator (6 in this case).<\/li>\n\n\n\n
      3. Converting each fraction to have the same denominator.<\/li>\n\n\n\n
      4. Subtracting the numerators and placing the result over the common denominator.<\/li>\n<\/ol>\n\n\n\n

        This process ensures that we handle fractions correctly and get the result in its simplest form, 16\\frac{1}{6}61\u200b.<\/p>\n\n\n\n

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

        Perform the indicated operations and express your answer simplest form 16\/24-6\/12 The Correct Answer and Explanation is: Let’s break down the problem step by step: We are tasked with solving:1624\u2212612\\frac{16}{24} – \\frac{6}{12}2416\u200b\u2212126\u200b Step 1: Simplify Each Fraction We will first simplify the fractions. Simplify 1624\\frac{16}{24}2416\u200b: To simplify a fraction, we find the greatest common divisor […]<\/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-246038","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246038","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=246038"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/246038\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=246038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=246038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=246038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}