What is 1.5 repeating as a fraction<\/p>\n\n\n\n
The correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To convert (1.5) repeating (written as (1.555\u2026)) into a fraction, follow these steps:<\/p>\n\n\n\n Let (x = 1.555\u2026).<\/p>\n\n\n\n To isolate the repeating part, we can multiply both sides of the equation by (10):<\/p>\n\n\n\n [ Now we have two equations:<\/p>\n\n\n\n Next, subtract the first equation from the second:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Now, divide both sides by (9):<\/p>\n\n\n\n [ Thus, (1.5) repeating can be expressed as the fraction (\\frac{14}{9}).<\/p>\n\n\n\n Repeating Decimals and Fractions:<\/strong> Understanding the Process:<\/strong><\/p>\n\n\n\n Verification:<\/strong> What is 1.5 repeating as a fraction The correct Answer and Explanation is : To convert (1.5) repeating (written as (1.555\u2026)) into a fraction, follow these steps: Step 1: Define the repeating decimal Let (x = 1.555\u2026). Step 2: Eliminate the repeating part To isolate the repeating part, we can multiply both sides of 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-143673","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143673","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=143673"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/143673\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=143673"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=143673"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=143673"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Define the repeating decimal<\/h3>\n\n\n\n
Step 2: Eliminate the repeating part<\/h3>\n\n\n\n
10x = 15.555\u2026
]<\/p>\n\n\n\nStep 3: Set up the equation<\/h3>\n\n\n\n
\n
10x – x = 15.555\u2026 – 1.555\u2026
]<\/p>\n\n\n\n
9x = 14
]<\/p>\n\n\n\nStep 4: Solve for (x)<\/h3>\n\n\n\n
x = \\frac{14}{9}
]<\/p>\n\n\n\nStep 5: Conclusion<\/h3>\n\n\n\n
Explanation<\/h3>\n\n\n\n
Repeating decimals, like (1.555\u2026), represent an infinite series of digits that repeat. When converting them into fractions, the goal is to express the repeating decimal as a ratio of two integers.<\/p>\n\n\n\n\n
To ensure the conversion is accurate, divide (14) by (9), which results in (1.555\u2026), confirming that the fractional representation is correct. This method of converting decimals to fractions is applicable to any repeating decimal and provides a clear pathway to express such values mathematically.<\/p>\n","protected":false},"excerpt":{"rendered":"