7\/8 – 6\/7<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To solve the expression ( \\frac{7}{8} – \\frac{6}{7} ), follow these steps:<\/p>\n\n\n\n To subtract fractions, they must have the same denominator. The denominators are 8 and 7. The least common denominator (LCD) is the least common multiple (LCM) of 8 and 7, which is 56.<\/p>\n\n\n\n Now, rewrite each fraction with a denominator of 56:<\/p>\n\n\n\n Now that both fractions have the same denominator, subtract the numerators: [ To subtract fractions, having the same denominator is crucial. When fractions have different denominators, the only way to perform operations is to find a common denominator. The LCD for 8 and 7 is 56. After converting both fractions to have 56 as their denominator, the subtraction can be done directly with the numerators. This results in ( \\frac{1}{56} ).<\/p>\n\n\n\n The subtraction process involves:<\/p>\n\n\n\n This approach works for any subtraction of fractions, whether the denominators are prime, composite, or relatively prime (as in this case).<\/p>\n","protected":false},"excerpt":{"rendered":" 7\/8 – 6\/7 The Correct Answer and Explanation is : To solve the expression ( \\frac{7}{8} – \\frac{6}{7} ), follow these steps: Step 1: Find a common denominator To subtract fractions, they must have the same denominator. The denominators are 8 and 7. The least common denominator (LCD) is the least common multiple (LCM) 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-163683","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163683","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=163683"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/163683\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=163683"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=163683"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=163683"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Find a common denominator<\/h3>\n\n\n\n
Step 2: Adjust the fractions to have the same denominator<\/h3>\n\n\n\n
\n
[
\\frac{7}{8} = \\frac{7 \\times 7}{8 \\times 7} = \\frac{49}{56}
]<\/li>\n\n\n\n
[
\\frac{6}{7} = \\frac{6 \\times 8}{7 \\times 8} = \\frac{48}{56}
]<\/li>\n<\/ul>\n\n\n\nStep 3: Subtract the fractions<\/h3>\n\n\n\n
[
\\frac{49}{56} – \\frac{48}{56} = \\frac{49 – 48}{56} = \\frac{1}{56}
]<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
\\frac{7}{8} – \\frac{6}{7} = \\frac{1}{56}
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n
\n