Joanna claims 2\/3 is equal to 4\/6. Kyle thinks 2\/3 is equal to 8\/12. \u200bWho is correct?<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n Both Joanna and Kyle are correct in their claims, but their reasoning is based on different forms of equivalent fractions. Let\u2019s explain this concept.<\/p>\n\n\n\n Joanna’s claim is correct. To verify, we can simplify the fraction ( \\frac{4}{6} ). The greatest common divisor (GCD) of 4 and 6 is 2. Dividing both the numerator and the denominator of ( \\frac{4}{6} ) by 2:<\/p>\n\n\n\n [ Therefore, ( \\frac{2}{3} = \\frac{4}{6} ), confirming that Joanna is correct. This is an example of multiplying both the numerator and denominator of a fraction by the same number (in this case, 2), which results in an equivalent fraction.<\/p>\n\n\n\n Kyle’s claim is also correct. To verify, we can simplify the fraction ( \\frac{8}{12} ). The greatest common divisor (GCD) of 8 and 12 is 4. Dividing both the numerator and the denominator of ( \\frac{8}{12} ) by 4:<\/p>\n\n\n\n [ So, ( \\frac{2}{3} = \\frac{8}{12} ), confirming that Kyle is also correct. This is another example of equivalent fractions, where the numerator and denominator are both multiplied by 4.<\/p>\n\n\n\n Both Joanna and Kyle are correct because ( \\frac{2}{3} ) is equal to both ( \\frac{4}{6} ) and ( \\frac{8}{12} ). In each case, the fractions represent the same value, and we can obtain one fraction from the other by multiplying the numerator and denominator by a common factor. Thus, fractions can be equivalent if they can be simplified or scaled up while maintaining the same ratio between the numerator and denominator.<\/p>\n","protected":false},"excerpt":{"rendered":" Joanna claims 2\/3 is equal to 4\/6. Kyle thinks 2\/3 is equal to 8\/12. \u200bWho is correct? The Correct Answer and Explanation is : Both Joanna and Kyle are correct in their claims, but their reasoning is based on different forms of equivalent fractions. Let\u2019s explain this concept. Joanna’s Claim: ( \\frac{2}{3} = \\frac{4}{6} ) […]<\/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-163865","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163865","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=163865"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163865\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Joanna’s Claim: ( \\frac{2}{3} = \\frac{4}{6} )<\/h3>\n\n\n\n
\\frac{4}{6} = \\frac{4 \\div 2}{6 \\div 2} = \\frac{2}{3}
]<\/p>\n\n\n\nKyle’s Claim: ( \\frac{2}{3} = \\frac{8}{12} )<\/h3>\n\n\n\n
\\frac{8}{12} = \\frac{8 \\div 4}{12 \\div 4} = \\frac{2}{3}
]<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n