What is the decimal equivalent of 8\/3<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The decimal equivalent of the fraction ( \\frac{8}{3} ) is 2.6667<\/strong> (rounded to four decimal places).<\/p>\n\n\n\n To convert a fraction like ( \\frac{8}{3} ) to its decimal equivalent, we divide the numerator (8) by the denominator (3). This can be done using long division or a calculator.<\/p>\n\n\n\n We are dividing 8 by 3:<\/p>\n\n\n\n [ When you divide 8 by 3, 3 goes into 8 two times because ( 3 \\times 2 = 6 ). Subtract 6 from 8 to get a remainder of 2. Now, drop down a zero to continue the division.<\/p>\n\n\n\n [ Next, divide 20 by 3. 3 goes into 20 six times because ( 3 \\times 6 = 18 ). Subtract 18 from 20 to get a remainder of 2 again.<\/p>\n\n\n\n [ This gives you another 6 in the decimal place. Since the remainder repeats the same pattern, we know that the decimal will continue indefinitely with 6’s. Hence, ( \\frac{8}{3} ) is a repeating decimal.<\/p>\n\n\n\n The result is:<\/p>\n\n\n\n [ In many practical applications, we round repeating decimals for simplicity. In this case, ( 2.6666666\\ldots ) can be rounded to ( 2.6667 ) when we need a value with four decimal places.<\/p>\n\n\n\n The decimal equivalent of ( \\frac{8}{3} ) is ( 2.6667 ).<\/p>\n\n\n\n This type of repeating decimal occurs because 3 does not divide evenly into 8, leading to a recurring cycle of 6 in the quotient.<\/p>\n","protected":false},"excerpt":{"rendered":" What is the decimal equivalent of 8\/3 The Correct Answer and Explanation is: The decimal equivalent of the fraction ( \\frac{8}{3} ) is 2.6667 (rounded to four decimal places). Explanation: To convert a fraction like ( \\frac{8}{3} ) to its decimal equivalent, we divide the numerator (8) by the denominator (3). This can be done […]<\/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-166185","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166185","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=166185"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166185\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166185"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166185"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166185"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
Step 1: Set up the division problem.<\/h4>\n\n\n\n
8 \\div 3
]<\/p>\n\n\n\nStep 2: Perform the division.<\/h4>\n\n\n\n
8 – 6 = 2
]<\/p>\n\n\n\n
20 – 18 = 2
]<\/p>\n\n\n\n
2.6666666\\ldots
]<\/p>\n\n\n\nStep 3: Round the decimal.<\/h4>\n\n\n\n
Step 4: Final Answer<\/h4>\n\n\n\n