{"id":230581,"date":"2025-06-09T18:02:27","date_gmt":"2025-06-09T18:02:27","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230581"},"modified":"2025-06-09T18:02:30","modified_gmt":"2025-06-09T18:02:30","slug":"part-b-find-the-sum-of-1-6-and-5-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/part-b-find-the-sum-of-1-6-and-5-8\/","title":{"rendered":"Part B Find the sum of 1\/6 and 5\/8"},"content":{"rendered":"\n<p>Part B Find the sum of 1\/6 and 5\/8. Enter the numerator followed by the denominator separated by a comma. View Available Hint(s)<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-0-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the sum of 16\\frac{1}{6}61\u200b and 58\\frac{5}{8}85\u200b, we follow these steps:<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 1: Find a common denominator<\/strong><\/h3>\n\n\n\n<p>The denominators are 6 and 8. The <strong>least common denominator (LCD)<\/strong> of 6 and 8 is <strong>24<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 2: Convert the fractions to have the common denominator<\/strong><\/h3>\n\n\n\n<p>Convert both fractions to equivalent fractions with denominator 24:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>16=1\u00d746\u00d74=424\\frac{1}{6} = \\frac{1 \\times 4}{6 \\times 4} = \\frac{4}{24}61\u200b=6\u00d741\u00d74\u200b=244\u200b<\/li>\n\n\n\n<li>58=5\u00d738\u00d73=1524\\frac{5}{8} = \\frac{5 \\times 3}{8 \\times 3} = \\frac{15}{24}85\u200b=8\u00d735\u00d73\u200b=2415\u200b<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Step 3: Add the fractions<\/strong><\/h3>\n\n\n\n<p>Now add the numerators:424+1524=1924\\frac{4}{24} + \\frac{15}{24} = \\frac{19}{24}244\u200b+2415\u200b=2419\u200b<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer: <strong>19,24<\/strong><\/h3>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong> Explanation<\/strong><\/h3>\n\n\n\n<p>Adding fractions is a fundamental operation in arithmetic and algebra. When two fractions have different denominators, you cannot add them directly. Instead, you must first find a common denominator so that the fractions represent parts of the same whole. This is similar to needing the same type of unit before combining quantities (like you can&#8217;t directly add 3 inches and 2 centimeters without converting one).<\/p>\n\n\n\n<p>In this problem, the fractions are 16\\frac{1}{6}61\u200b and 58\\frac{5}{8}85\u200b. Their denominators are different, so we need to find a <strong>least common denominator (LCD)<\/strong>, which is the smallest number that both denominators divide evenly into. For 6 and 8, the smallest common multiple is 24. This becomes our new common denominator.<\/p>\n\n\n\n<p>Once the common denominator is determined, each fraction is rewritten with that denominator. To convert a fraction to an equivalent fraction with a new denominator, multiply both its numerator and denominator by the same number. This maintains the value of the fraction while allowing it to be compared or combined with others.<\/p>\n\n\n\n<p>So, 16\\frac{1}{6}61\u200b becomes 424\\frac{4}{24}244\u200b and 58\\frac{5}{8}85\u200b becomes 1524\\frac{15}{24}2415\u200b. Now that both fractions have the same denominator, we simply add the numerators and keep the denominator: 4+15=194 + 15 = 194+15=19, giving the final answer 1924\\frac{19}{24}2419\u200b.<\/p>\n\n\n\n<p>This fraction is already in its simplest form, since 19 and 24 have no common factors other than 1. Therefore, the sum of 16\\frac{1}{6}61\u200b and 58\\frac{5}{8}85\u200b is 1924\\frac{19}{24}2419\u200b.<\/p>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"230582\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner4-775.jpeg\" alt=\"\" class=\"wp-image-230582\"\/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Part B Find the sum of 1\/6 and 5\/8. Enter the numerator followed by the denominator separated by a comma. View Available Hint(s) The Correct Answer and Explanation is: To find the sum of 16\\frac{1}{6}61\u200b and 58\\frac{5}{8}85\u200b, we follow these steps: Step 1: Find a common denominator The denominators are 6 and 8. The least [&hellip;]<\/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-230581","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230581","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=230581"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230581\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230581"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230581"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230581"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}