Rewrite as a simplified fraction. (repeating decimal) 1.5 =?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: ( 1.5 = 1 + 0.5 = 1 + \\frac{1}{2} = \\frac{2}{2} + \\frac{1}{2} = \\frac{3}{2} ).<\/strong><\/mark><\/p>\n\n\n\n To convert the repeating decimal ( 1.5 ) into a simplified fraction, we first need to clarify the notation. Typically, repeating decimals are denoted with a line or dot over the repeating part. For example, if you meant ( 1.555\u2026) (where the digit 5 repeats infinitely), it would be denoted as ( 1.5\\overline{5} ). However, if you only want to convert ( 1.5 ) as it is (with a non-repeating decimal), the conversion process will be different.<\/p>\n\n\n\n Assuming you meant ( 1.5\\overline{5} ):<\/p>\n\n\n\n The fraction ( \\frac{14}{9} ) is already in its simplest form since 14 and 9 have no common factors other than 1.<\/p>\n\n\n\n Thus, the repeating decimal ( 1.5\\overline{5} ) can be expressed as the fraction ( \\frac{14}{9} ). If you were referring to a non-repeating decimal ( 1.5 ), it would simply be expressed as ( \\frac{3}{2} ), since ( 1.5 = 1 + 0.5 = 1 + \\frac{1}{2} = \\frac{2}{2} + \\frac{1}{2} = \\frac{3}{2} ).<\/p>\n\n\n\n If further clarification is needed regarding the decimal format you intended, feel free to ask!<\/p>\n","protected":false},"excerpt":{"rendered":" Rewrite as a simplified fraction. (repeating decimal) 1.5 =? The Correct Answer and Explanation is : The correct answer is: ( 1.5 = 1 + 0.5 = 1 + \\frac{1}{2} = \\frac{2}{2} + \\frac{1}{2} = \\frac{3}{2} ). To convert the repeating decimal ( 1.5 ) into a simplified fraction, we first need to clarify the […]<\/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-149453","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149453","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=149453"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/149453\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=149453"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=149453"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=149453"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Steps to Convert ( 1.5\\overline{5} ) to a Fraction:<\/h3>\n\n\n\n
\n
Let ( x = 1.5\\overline{5} ).<\/li>\n\n\n\n
To isolate the repeating part, we can multiply by 10 (to shift the decimal point):
[
10x = 15.5\\overline{5}
]<\/li>\n\n\n\n
Now we subtract the original ( x ) from this equation:
[
10x – x = 15.5\\overline{5} – 1.5\\overline{5}
]
Simplifying this, we get:
[
9x = 15.5 – 1.5
]
[
9x = 14
]<\/li>\n\n\n\n
Now, divide both sides by 9:
[
x = \\frac{14}{9}
]<\/li>\n<\/ol>\n\n\n\nSimplification:<\/h3>\n\n\n\n
Conclusion:<\/h3>\n\n\n\n