2\/3 times what equals 1<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the equation (2\/3) \u00d7 what = 1<\/strong>, we can set up a variable, say ( x ), to represent the unknown number:<\/p>\n\n\n\n [ To find ( x ), divide both sides of the equation by ( \\frac{2}{3} ). Dividing by a fraction is the same as multiplying by its reciprocal (the reciprocal of a fraction is obtained by swapping its numerator and denominator):<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ So, ( x = \\frac{3}{2} ), or 1.5.<\/p>\n\n\n\n Fractions represent parts of a whole, where the numerator (the top number) shows how many parts we have, and the denominator (the bottom number) shows how many equal parts make up a whole. The fraction ( \\frac{2}{3} ) means two-thirds, or two parts out of three.<\/p>\n\n\n\n In the equation ( \\frac{2}{3} \\times x = 1 ), we are asked to find what number multiplied by ( \\frac{2}{3} ) equals 1, which is the same as asking, “How many two-thirds make up 1?”<\/p>\n\n\n\n To isolate ( x ), we divide both sides by ( \\frac{2}{3} ), which is like asking how many two-thirds fit into 1. Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of ( \\frac{2}{3} ) is ( \\frac{3}{2} ). So, multiplying 1 by ( \\frac{3}{2} ) gives us ( x = \\frac{3}{2} ), or 1.5.<\/p>\n\n\n\n This means that ( \\frac{3}{2} ) or 1.5 is the number which, when multiplied by ( \\frac{2}{3} ), equals 1.<\/p>\n","protected":false},"excerpt":{"rendered":" 2\/3 times what equals 1 The Correct Answer and Explanation is : To solve the equation (2\/3) \u00d7 what = 1, we can set up a variable, say ( x ), to represent the unknown number: [\\frac{2}{3} \\times x = 1] To find ( x ), divide both sides of the equation by ( \\frac{2}{3} […]<\/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-157075","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157075","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=157075"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/157075\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=157075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=157075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=157075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{2}{3} \\times x = 1
]<\/p>\n\n\n\n
x = 1 \\times \\frac{3}{2}
]<\/p>\n\n\n\n
x = \\frac{3}{2}
]<\/p>\n\n\n\nExplanation<\/h3>\n\n\n\n