Choose the mixed number that is equivalent to this decimal. 3.242424\u2026<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To convert the repeating decimal 3.242424… to a mixed number, follow these steps:<\/p>\n\n\n\n The decimal 3.242424… can be broken into the whole number part, which is 3, and the repeating fractional part, which is 0.242424…<\/p>\n\n\n\n So, we have: 3.242424…=3+0.242424…3.242424… = 3 + 0.242424…<\/p>\n\n\n\n Let x=0.242424…x = 0.242424….<\/p>\n\n\n\n To eliminate the repeating decimal, multiply both sides of the equation by 100 (since the decimal repeats every two digits): 100x=24.242424…100x = 24.242424…<\/p>\n\n\n\n Now, subtract the original equation x=0.242424…x = 0.242424… from this new equation: 100x\u2212x=24.242424…\u22120.242424…100x – x = 24.242424… – 0.242424… 99x=2499x = 24<\/p>\n\n\n\n Now, solve for xx by dividing both sides of the equation by 99: x=2499x = \\frac{24}{99}<\/p>\n\n\n\n The greatest common divisor (GCD) of 24 and 99 is 3. So, divide both the numerator and the denominator by 3: x=24\u00f7399\u00f73=833x = \\frac{24 \\div 3}{99 \\div 3} = \\frac{8}{33}<\/p>\n\n\n\n The whole number part of the decimal was 3, so now add the fraction 833\\frac{8}{33} to it: 3+833=38333 + \\frac{8}{33} = 3 \\frac{8}{33}<\/p>\n\n\n\n The mixed number equivalent to the decimal 3.242424… is 38333 \\frac{8}{33}.<\/p>\n","protected":false},"excerpt":{"rendered":" Choose the mixed number that is equivalent to this decimal. 3.242424\u2026 The correct answer and explanation is: To convert the repeating decimal 3.242424… to a mixed number, follow these steps: Step 1: Write the decimal as a sum of its whole number and fractional parts. The decimal 3.242424… can be broken into the whole number […]<\/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-266126","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266126","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=266126"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/266126\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=266126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=266126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=266126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Write the decimal as a sum of its whole number and fractional parts.<\/h3>\n\n\n\n
Step 2: Set up the repeating decimal as a fraction.<\/h3>\n\n\n\n
Step 3: Solve for xx.<\/h3>\n\n\n\n
Step 4: Simplify the fraction.<\/h3>\n\n\n\n
Step 5: Combine with the whole number.<\/h3>\n\n\n\n
Final Answer:<\/h3>\n\n\n\n