Write the following decimal numbers as fractions. 0.111<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert the decimal (0.111) into a fraction, let’s go through the process step-by-step.<\/p>\n\n\n\n The decimal (0.111) can be written as:<\/p>\n\n\n\n [ This is because the digit (111) is in the thousandths place. The thousandths place is three places to the right of the decimal point, so we multiply (111) by (10^3 = 1000) to convert the decimal to a fraction.<\/p>\n\n\n\n Since (0.111) has three decimal places, we write it as:<\/p>\n\n\n\n [ Now, we check whether the fraction can be simplified. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. The numerator is (111), and the denominator is (1000).<\/p>\n\n\n\n We first find the factors of both numbers:<\/p>\n\n\n\n The only common factor between (111) and (1000) is (1), meaning the greatest common divisor (GCD) is (1). Therefore, the fraction is already in its simplest form.<\/p>\n\n\n\n So, the decimal (0.111) can be written as the fraction:<\/p>\n\n\n\n [ Since the GCD is (1), the fraction cannot be simplified further. Therefore, (0.111) as a fraction is (\\frac{111}{1000}).<\/p>\n\n\n\n Write the following decimal numbers as fractions. 0.111 The Correct Answer and Explanation is: To convert the decimal (0.111) into a fraction, let’s go through the process step-by-step. Step 1: Understand the Decimal Structure The decimal (0.111) can be written as: [0.111 = \\frac{111}{1000}] This is because the digit (111) is in the thousandths place. […]<\/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-165824","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165824","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=165824"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/165824\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=165824"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=165824"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=165824"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand the Decimal Structure<\/h3>\n\n\n\n
0.111 = \\frac{111}{1000}
]<\/p>\n\n\n\nStep 2: Write the Decimal as a Fraction<\/h3>\n\n\n\n
0.111 = \\frac{111}{1000}
]<\/p>\n\n\n\nStep 3: Simplify the Fraction (if needed)<\/h3>\n\n\n\n
\n
Step 4: Conclusion<\/h3>\n\n\n\n
\\frac{111}{1000}
]<\/p>\n\n\n\nExplanation Recap:<\/h3>\n\n\n\n
\n