Express the recurring decimal 0.004 as a fraction.<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To express the recurring decimal (0.004) as a fraction, we first need to clarify what is meant by “recurring decimal.” In this case, it seems there is some confusion, as (0.004) does not have a repeating part; it is a terminating decimal. However, I’ll explain how to convert both a terminating decimal and a recurring decimal to a fraction.<\/p>\n\n\n\n Thus, the decimal (0.004) as a fraction is (\\frac{1}{250}).<\/p>\n\n\n\n If we were to consider a true recurring decimal, such as (0.004444\u2026) (where the digit 4 repeats), the process would be different:<\/p>\n\n\n\n In conclusion, (0.004) is (\\frac{1}{250}) as a fraction, while a repeating decimal such as (0.004444\u2026) would convert to (\\frac{1}{225}).<\/p>\n","protected":false},"excerpt":{"rendered":" Express the recurring decimal 0.004 as a fraction. The Correct Answer and Explanation is : To express the recurring decimal (0.004) as a fraction, we first need to clarify what is meant by “recurring decimal.” In this case, it seems there is some confusion, as (0.004) does not have a repeating part; it is a […]<\/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-153617","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153617","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=153617"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/153617\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=153617"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=153617"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=153617"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Converting a Terminating Decimal to a Fraction<\/h3>\n\n\n\n
\n
[
0.004 = \\frac{4}{1000}
]<\/li>\n\n\n\n\n
[
\\frac{4 \\div 4}{1000 \\div 4} = \\frac{1}{250}
]<\/li>\n<\/ul>\n\n\n\nConverting a Recurring Decimal to a Fraction<\/h3>\n\n\n\n
\n
[
1000x = 4.444\u2026
]<\/li>\n\n\n\n
[
1000x – x = 4.444\u2026 – 0.004444\u2026
]
This simplifies to:
[
999x = 4.44
]<\/li>\n\n\n\n
[
999x = \\frac{444}{100} \\implies x = \\frac{444}{99900}
]<\/li>\n\n\n\n
[
x = \\frac{4}{900} = \\frac{1}{225}
]<\/li>\n<\/ol>\n\n\n\n