What is 190 divided by 2\/3<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To divide 190 by ( \\frac{2}{3} ), we can follow a method that involves multiplication by the reciprocal.<\/p>\n\n\n\n Thus, the correct answer is 285<\/strong>.<\/p>\n\n\n\n When dividing a whole number by a fraction, you can think of it in terms of \u201chow many of the fraction fit into the whole number?\u201d Dividing by a fraction is effectively the same as multiplying by its reciprocal because you are seeing how many times that fraction can be contained within the whole.<\/p>\n\n\n\n In this case, 190 divided by ( \\frac{2}{3} ) asks how many ( \\frac{2}{3} ) parts fit into 190. To calculate this, we flip ( \\frac{2}{3} ) to get ( \\frac{3}{2} ) and then multiply. Multiplying by ( \\frac{3}{2} ) gives the same outcome as dividing 190 by ( \\frac{2}{3} ).<\/p>\n\n\n\n After converting and multiplying, simplifying (\\frac{570}{2}) yields 285. This process of changing division by a fraction into multiplication by the reciprocal is a standard method in fraction operations, ensuring accuracy and simplifying calculations. This approach applies generally to any division involving fractions and whole numbers, making it a versatile and useful tool in mathematics.<\/p>\n","protected":false},"excerpt":{"rendered":" What is 190 divided by 2\/3 The Correct Answer and Explanation is: To divide 190 by ( \\frac{2}{3} ), we can follow a method that involves multiplication by the reciprocal. Step-by-Step Solution Thus, the correct answer is 285. Explanation When dividing a whole number by a fraction, you can think of it in terms of […]<\/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-161454","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161454","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=161454"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161454\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161454"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161454"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step-by-Step Solution<\/h3>\n\n\n\n
\n
[
190 \\div \\frac{2}{3}
]<\/li>\n\n\n\n
[
\\frac{190}{1} \\div \\frac{2}{3}
]<\/li>\n\n\n\n
Dividing by a fraction is the same as multiplying by its reciprocal (i.e., flipping the numerator and the denominator). So,
[
\\frac{190}{1} \\times \\frac{3}{2}
]<\/li>\n\n\n\n
Multiply the numerators and then the denominators.
[
\\frac{190 \\times 3}{1 \\times 2} = \\frac{570}{2}
]<\/li>\n\n\n\n
[
\\frac{570}{2} = 285
]<\/li>\n<\/ol>\n\n\n\nExplanation<\/h3>\n\n\n\n