{"id":232529,"date":"2025-06-12T02:23:41","date_gmt":"2025-06-12T02:23:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=232529"},"modified":"2025-06-12T02:23:43","modified_gmt":"2025-06-12T02:23:43","slug":"write-5-3-as-a-decimal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/12\/write-5-3-as-a-decimal\/","title":{"rendered":"Write 5\/3 as a Decimal"},"content":{"rendered":"\n

Write 5\/3 as a Decimal<\/p>\n\n\n\n

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

Correct Answer:<\/strong>53=1.666\u2026=1.6\u203e\\frac{5}{3} = 1.666\\ldots = 1.\\overline{6}35\u200b=1.666\u2026=1.6<\/p>\n\n\n\n

\n\n\n\n

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

To convert the fraction 53\\frac{5}{3}35\u200b to a decimal, divide the numerator (5) by the denominator (3). Begin by setting up the division:5\u00f735 \\div 35\u00f73<\/p>\n\n\n\n

Three goes into five one<\/strong> time. Multiply:1\u00d73=31 \\times 3 = 31\u00d73=3<\/p>\n\n\n\n

Subtract:5\u22123=25 – 3 = 25\u22123=2<\/p>\n\n\n\n

Since 2 is less than 3 and the division is not complete, add a decimal point and bring down a zero. Now divide 20 by 3:20\u00f73=620 \\div 3 = 620\u00f73=6<\/p>\n\n\n\n

Multiply:6\u00d73=186 \\times 3 = 186\u00d73=18<\/p>\n\n\n\n

Subtract:20\u221218=220 – 18 = 220\u221218=2<\/p>\n\n\n\n

Again, bring down a zero. The same steps repeat:20\u00f73=6,6\u00d73=18,20\u221218=220 \\div 3 = 6, \\quad 6 \\times 3 = 18, \\quad 20 – 18 = 220\u00f73=6,6\u00d73=18,20\u221218=2<\/p>\n\n\n\n

This process continues indefinitely, with 6 repeating over and over. So, the decimal representation is:1.666\u20261.666\\ldots1.666\u2026<\/p>\n\n\n\n

The 6 repeats without end, so use a bar notation to show that the 6 is repeating:53=1.6\u203e\\frac{5}{3} = 1.\\overline{6}35\u200b=1.6<\/p>\n\n\n\n

This type of decimal is called a repeating decimal<\/strong>. A repeating decimal has one or more digits that repeat forever. In this case, only one digit (6) repeats.<\/p>\n\n\n\n

Fractions where the denominator is not a factor of a power of 10 often result in repeating decimals. Since 3 is not a factor of 10 or any power of 10 like 100 or 1000, the division does not terminate. Instead, it cycles in a repeating pattern.<\/p>\n\n\n\n

Understanding how to convert fractions to decimals is an essential math skill, especially when comparing values, estimating, or solving problems involving money or measurements.<\/p>\n\n\n\n

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

Write 5\/3 as a Decimal The Correct Answer and Explanation is: Correct Answer:53=1.666\u2026=1.6\u203e\\frac{5}{3} = 1.666\\ldots = 1.\\overline{6}35\u200b=1.666\u2026=1.6 Explanation: To convert the fraction 53\\frac{5}{3}35\u200b to a decimal, divide the numerator (5) by the denominator (3). Begin by setting up the division:5\u00f735 \\div 35\u00f73 Three goes into five one time. Multiply:1\u00d73=31 \\times 3 = 31\u00d73=3 Subtract:5\u22123=25 – […]<\/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-232529","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232529","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=232529"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/232529\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=232529"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=232529"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=232529"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}