What is equivalent to 1\/3 with a denominator of 6?<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n To find a fraction equivalent to ( \\frac{1}{3} ) with a denominator of 6, we need to determine what the numerator would be when the fraction is expressed with that specific denominator.<\/p>\n\n\n\n First, let’s recall the property of equivalent fractions: two fractions are equivalent if they represent the same part of a whole, which can be established by cross-multiplying or by ensuring that the ratio of the numerators to the denominators remains constant.<\/p>\n\n\n\n Starting with ( \\frac{1}{3} ), we want to find an equivalent fraction with a denominator of 6. To do this, we can set up a proportion:<\/p>\n\n\n\n [ where ( x ) is the unknown numerator that we are trying to find. To solve for ( x ), we can cross-multiply:<\/p>\n\n\n\n [ This simplifies to:<\/p>\n\n\n\n [ Next, we solve for ( x ) by dividing both sides of the equation by 3:<\/p>\n\n\n\n [ Thus, the equivalent fraction to ( \\frac{1}{3} ) with a denominator of 6 is ( \\frac{2}{6} ).<\/p>\n\n\n\n To confirm our result, we can simplify ( \\frac{2}{6} ) back to see if it equals ( \\frac{1}{3} ). We do this by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 2:<\/p>\n\n\n\n [ This verification shows that our calculation is correct. Therefore, the fraction ( \\frac{2}{6} ) is indeed equivalent to ( \\frac{1}{3} ).<\/p>\n\n\n\n In summary, the equivalent fraction of ( \\frac{1}{3} ) with a denominator of 6 is ( \\frac{2}{6} ). Understanding how to find equivalent fractions is crucial in various mathematical applications, such as adding fractions with different denominators or simplifying complex expressions.<\/p>\n","protected":false},"excerpt":{"rendered":" What is equivalent to 1\/3 with a denominator of 6? The Correct Answer and Explanation is: To find a fraction equivalent to ( \\frac{1}{3} ) with a denominator of 6, we need to determine what the numerator would be when the fraction is expressed with that specific denominator. First, let’s recall the property of equivalent […]<\/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-161218","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161218","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=161218"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/161218\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=161218"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=161218"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=161218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\\frac{1}{3} = \\frac{x}{6}
]<\/p>\n\n\n\n
1 \\times 6 = 3 \\times x
]<\/p>\n\n\n\n
6 = 3x
]<\/p>\n\n\n\n
x = \\frac{6}{3} = 2
]<\/p>\n\n\n\n
\\frac{2 \\div 2}{6 \\div 2} = \\frac{1}{3}
]<\/p>\n\n\n\n