{"id":242376,"date":"2025-07-04T07:16:51","date_gmt":"2025-07-04T07:16:51","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242376"},"modified":"2025-07-04T07:16:53","modified_gmt":"2025-07-04T07:16:53","slug":"convert-the-following-into-fractions-in-the-lowest-form","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/convert-the-following-into-fractions-in-the-lowest-form\/","title":{"rendered":"convert the following into fractions in the lowest form"},"content":{"rendered":"\n<p>convert the following into fractions in the lowest form (a 2.75 (0.7 (c 2.05 (d 7.005<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Here is the conversion of each decimal into fractions in their lowest form:<\/p>\n\n\n\n<p><strong>(a) 2.75<\/strong><\/p>\n\n\n\n<p>To convert 2.75 into a fraction, we can follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Write 2.75 as a mixed number:<br>2.75=2+0.752.75 = 2 + 0.752.75=2+0.75<\/li>\n\n\n\n<li>Convert 0.75 into a fraction:<br>0.75=751000.75 = \\frac{75}{100}0.75=10075\u200b<br>Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 25:<br>75100=34\\frac{75}{100} = \\frac{3}{4}10075\u200b=43\u200b<\/li>\n\n\n\n<li>Now, combine the whole number 2 and the fraction:<br>2+34=84+34=1142 + \\frac{3}{4} = \\frac{8}{4} + \\frac{3}{4} = \\frac{11}{4}2+43\u200b=48\u200b+43\u200b=411\u200b<br>So, 2.75 as a fraction in its lowest form is 114\\frac{11}{4}411\u200b.<\/li>\n<\/ol>\n\n\n\n<p><strong>(b) 0.7<\/strong><\/p>\n\n\n\n<p>To convert 0.7 into a fraction:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Write 0.7 as 710\\frac{7}{10}107\u200b, since 0.7 is equivalent to 7 tenths.<\/li>\n\n\n\n<li>The fraction is already in its simplest form.<\/li>\n<\/ol>\n\n\n\n<p>So, 0.7 as a fraction in its lowest form is 710\\frac{7}{10}107\u200b.<\/p>\n\n\n\n<p><strong>(c) 2.05<\/strong><\/p>\n\n\n\n<p>To convert 2.05 into a fraction:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Write 2.05 as a mixed number:<br>2.05=2+0.052.05 = 2 + 0.052.05=2+0.05<\/li>\n\n\n\n<li>Convert 0.05 into a fraction:<br>0.05=51000.05 = \\frac{5}{100}0.05=1005\u200b<br>Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 5:<br>5100=120\\frac{5}{100} = \\frac{1}{20}1005\u200b=201\u200b<\/li>\n\n\n\n<li>Now, combine the whole number 2 and the fraction:<br>2+120=4020+120=41202 + \\frac{1}{20} = \\frac{40}{20} + \\frac{1}{20} = \\frac{41}{20}2+201\u200b=2040\u200b+201\u200b=2041\u200b<br>So, 2.05 as a fraction in its lowest form is 4120\\frac{41}{20}2041\u200b.<\/li>\n<\/ol>\n\n\n\n<p><strong>(d) 7.005<\/strong><\/p>\n\n\n\n<p>To convert 7.005 into a fraction:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Write 7.005 as a mixed number:<br>7.005=7+0.0057.005 = 7 + 0.0057.005=7+0.005<\/li>\n\n\n\n<li>Convert 0.005 into a fraction:<br>0.005=510000.005 = \\frac{5}{1000}0.005=10005\u200b<br>Simplify the fraction by dividing both the numerator and denominator by their GCD, which is 5:<br>51000=1200\\frac{5}{1000} = \\frac{1}{200}10005\u200b=2001\u200b<\/li>\n\n\n\n<li>Now, combine the whole number 7 and the fraction:<br>7+1200=1400200+1200=14012007 + \\frac{1}{200} = \\frac{1400}{200} + \\frac{1}{200} = \\frac{1401}{200}7+2001\u200b=2001400\u200b+2001\u200b=2001401\u200b<br>So, 7.005 as a fraction in its lowest form is 1401200\\frac{1401}{200}2001401\u200b.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Summary of Answers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2.75=1142.75 = \\frac{11}{4}2.75=411\u200b<\/li>\n\n\n\n<li>0.7=7100.7 = \\frac{7}{10}0.7=107\u200b<\/li>\n\n\n\n<li>2.05=41202.05 = \\frac{41}{20}2.05=2041\u200b<\/li>\n\n\n\n<li>7.005=14012007.005 = \\frac{1401}{200}7.005=2001401\u200b<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-236.jpeg\" alt=\"\" class=\"wp-image-242377\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>convert the following into fractions in the lowest form (a 2.75 (0.7 (c 2.05 (d 7.005 The Correct Answer and Explanation is: Here is the conversion of each decimal into fractions in their lowest form: (a) 2.75 To convert 2.75 into a fraction, we can follow these steps: (b) 0.7 To convert 0.7 into a [&hellip;]<\/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-242376","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242376","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=242376"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242376\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242376"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242376"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242376"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}