1\/2 divided by 3\/4 in simplest form<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the division of fractions ( \\frac{1}{2} ) divided by ( \\frac{3}{4} ), we can follow these steps:<\/p>\n\n\n\n When dividing fractions, the operation can be transformed into multiplication by the reciprocal of the divisor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.<\/p>\n\n\n\n The problem can be rewritten as:<\/p>\n\n\n\n [ Now, we multiply the numerators and denominators:<\/p>\n\n\n\n [ Next, we need to simplify ( \\frac{4}{6} ). We can do this by finding the greatest common divisor (GCD) of the numerator and denominator.<\/p>\n\n\n\n The GCD of 4 and 6 is 2. We divide both the numerator and denominator by their GCD:<\/p>\n\n\n\n [ Thus, ( \\frac{1}{2} \\div \\frac{3}{4} = \\frac{2}{3} ) in simplest form.<\/p>\n\n\n\n Dividing fractions might seem challenging at first, but by using the reciprocal, we simplify the process to multiplication. This method not only streamlines calculations but also enhances understanding of how fractions interact. The importance of simplifying fractions cannot be overstated, as it aids in clarity and communication, especially in mathematics. Ultimately, mastering these foundational concepts lays the groundwork for more advanced topics, enabling better problem-solving skills in future mathematical endeavors. Thus, the final answer to ( \\frac{1}{2} \\div \\frac{3}{4} ) is ( \\frac{2}{3} ).<\/p>\n","protected":false},"excerpt":{"rendered":" 1\/2 divided by 3\/4 in simplest form The Correct Answer and Explanation is : To solve the division of fractions ( \\frac{1}{2} ) divided by ( \\frac{3}{4} ), we can follow these steps: Step 1: Understand Division of Fractions When dividing fractions, the operation can be transformed into multiplication by the reciprocal of the divisor. […]<\/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-147793","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147793","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=147793"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/147793\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=147793"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=147793"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=147793"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Understand Division of Fractions<\/h3>\n\n\n\n
Step 2: Write the Problem<\/h3>\n\n\n\n
\\frac{1}{2} \\div \\frac{3}{4} = \\frac{1}{2} \\times \\frac{4}{3}
]<\/p>\n\n\n\nStep 3: Multiply the Fractions<\/h3>\n\n\n\n
\\frac{1 \\times 4}{2 \\times 3} = \\frac{4}{6}
]<\/p>\n\n\n\nStep 4: Simplify the Result<\/h3>\n\n\n\n
\\frac{4 \\div 2}{6 \\div 2} = \\frac{2}{3}
]<\/p>\n\n\n\nFinal Result<\/h3>\n\n\n\n
Conclusion<\/h3>\n\n\n\n