What is 0.8333333333 in fraction form?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The decimal 0.8333333333<\/strong> (repeating) can be written as the fraction 5\/6<\/strong>. Here’s a detailed explanation of how to convert the repeating decimal to a fraction:<\/p>\n\n\n\n Therefore, 0.\\overline{3} = 5\/6<\/strong>. This means that the repeating decimal 0.8333333333\u2026<\/strong> is equivalent to the fraction 5\/6<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":" What is 0.8333333333 in fraction form? The Correct Answer and Explanation is : The decimal 0.8333333333 (repeating) can be written as the fraction 5\/6. Here’s a detailed explanation of how to convert the repeating decimal to a fraction: Step-by-Step Conversion Conclusion: Therefore, 0.\\overline{3} = 5\/6. This means that the repeating decimal 0.8333333333\u2026 is equivalent to […]<\/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-162431","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162431","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=162431"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162431\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162431"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162431"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step-by-Step Conversion<\/h3>\n\n\n\n
\n
The decimal 0.8333333333\u2026<\/strong> repeats the digit 3<\/strong> indefinitely after the decimal point. We can write this as 0.\\overline{3}<\/strong>, where the overline indicates that the 3 repeats infinitely.<\/li>\n\n\n\n
Let x = 0.\\overline{3}<\/strong>. This means that x<\/strong> is equal to the repeating decimal.<\/li>\n\n\n\n
To shift the decimal point one place to the right, multiply both sides of the equation by 10:
[
10x = 8.3333333333\u2026
]<\/li>\n\n\n\n
Now, subtract the equation x = 0.8333333333\u2026<\/strong> from 10x = 8.3333333333\u2026<\/strong> to eliminate the repeating decimals:
[
10x – x = 8.3333333333\u2026 – 0.8333333333\u2026
]
This simplifies to:
[
9x = 7.5
]<\/li>\n\n\n\n
To find x<\/strong>, divide both sides of the equation by 9:
[
x = \\frac{7.5}{9}
]<\/li>\n\n\n\n
The fraction 7.5\/9<\/strong> can be simplified by multiplying both the numerator and denominator by 10 to remove the decimal point:
[
x = \\frac{75}{90}
]
Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15:
[
x = \\frac{75 \\div 15}{90 \\div 15} = \\frac{5}{6}
]<\/li>\n<\/ol>\n\n\n\nConclusion:<\/h3>\n\n\n\n