Find among the numbers such that 3\/64 of it is 48.<\/p>\n\n\n\n
The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find the number such that 3\/64 of it equals 48, we can set up an equation to solve for the unknown number. Let the unknown number be represented by xx.<\/p>\n\n\n\n The equation is: 364\u00d7x=48\\frac{3}{64} \\times x = 48<\/p>\n\n\n\n To isolate xx, first multiply both sides of the equation by the reciprocal of 364\\frac{3}{64}, which is 643\\frac{64}{3}. This will cancel out the fraction on the left-hand side: x=48\u00d7643x = 48 \\times \\frac{64}{3}<\/p>\n\n\n\n Now multiply 48 by 643\\frac{64}{3}: x=48\u00d7643=30723x = \\frac{48 \\times 64}{3} = \\frac{3072}{3}<\/p>\n\n\n\n Next, divide 3072 by 3: x=1024x = 1024<\/p>\n\n\n\n Thus, the number is 1024.<\/p>\n\n\n\n To verify the result, let’s check if 364\\frac{3}{64} of 1024 is indeed 48: 364\u00d71024=3\u00d7102464=307264=48\\frac{3}{64} \\times 1024 = \\frac{3 \\times 1024}{64} = \\frac{3072}{64} = 48<\/p>\n\n\n\n The result is correct.<\/p>\n\n\n\n The number such that 3\/64 of it is 48 is 1024. This problem is solved using basic algebraic principles, specifically manipulating fractions and isolating the unknown variable.<\/p>\n","protected":false},"excerpt":{"rendered":" Find among the numbers such that 3\/64 of it is 48. The correct answer and explanation is: To find the number such that 3\/64 of it equals 48, we can set up an equation to solve for the unknown number. Let the unknown number be represented by xx. The equation is: 364\u00d7x=48\\frac{3}{64} \\times x = […]<\/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-260102","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260102","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=260102"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/260102\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=260102"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=260102"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=260102"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Solve for xx<\/h3>\n\n\n\n
Step 2: Perform the multiplication<\/h3>\n\n\n\n
Step 3: Simplify the fraction<\/h3>\n\n\n\n
Verification<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n