{"id":166280,"date":"2024-11-13T14:47:34","date_gmt":"2024-11-13T14:47:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=166280"},"modified":"2024-11-13T14:47:36","modified_gmt":"2024-11-13T14:47:36","slug":"convert-the-following-times-from-hours-and-minutes-to-hours-giving-your-answers-as-mixed-numbers-and-decimals-correct-to-2-decimal-places","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/13\/convert-the-following-times-from-hours-and-minutes-to-hours-giving-your-answers-as-mixed-numbers-and-decimals-correct-to-2-decimal-places\/","title":{"rendered":"Convert the following times from hours and minutes to hours, giving your answers as mixed numbers and decimals, correct to 2 decimal places."},"content":{"rendered":"\n<p>Convert the following times from hours and minutes to hours, giving your answers as mixed numbers and decimals, correct to 2 decimal places. (a) 1 hour 40 minutes (b) 3 hours 10 minutes (c) 1 hour 6 minutes (d) 2 hours 18 minutes (e) 3 hours 5 minutes (f) 6 hours 2 minutes (g) i hour 7 minutes (h) 2 hours 23 minutes<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To convert times given in hours and minutes into a mixed number and a decimal, we follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Convert the minutes into a fraction of an hour.<\/strong> Since there are 60 minutes in an hour, we divide the number of minutes by 60.<\/li>\n\n\n\n<li><strong>Convert this fraction into a decimal.<\/strong> This can be done by performing the division of minutes by 60.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conversion Steps:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>For mixed numbers:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Keep the hours as a whole number.<\/li>\n\n\n\n<li>Convert the minutes into a fraction of an hour (e.g., 40 minutes is ( \\frac{40}{60} )).<\/li>\n\n\n\n<li>Simplify the fraction if possible, and then express the answer as a mixed number (e.g., 1 hour ( \\frac{2}{3} ) hour).<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>For decimals:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide the minutes by 60 and then add this result to the whole number of hours.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Examples:<\/h3>\n\n\n\n<p><strong>(a) 1 hour 40 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{40}{60} = \\frac{2}{3} ) hour.<\/li>\n\n\n\n<li>Mixed number: 1 ( \\frac{2}{3} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{40}{60} = 0.67 ), so the decimal is ( 1 + 0.67 = 1.67 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(b) 3 hours 10 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{10}{60} = \\frac{1}{6} ) hour.<\/li>\n\n\n\n<li>Mixed number: 3 ( \\frac{1}{6} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{10}{60} = 0.17 ), so the decimal is ( 3 + 0.17 = 3.17 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(c) 1 hour 6 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{6}{60} = \\frac{1}{10} ) hour.<\/li>\n\n\n\n<li>Mixed number: 1 ( \\frac{1}{10} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{6}{60} = 0.10 ), so the decimal is ( 1 + 0.10 = 1.10 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(d) 2 hours 18 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{18}{60} = \\frac{3}{10} ) hour.<\/li>\n\n\n\n<li>Mixed number: 2 ( \\frac{3}{10} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{18}{60} = 0.30 ), so the decimal is ( 2 + 0.30 = 2.30 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(e) 3 hours 5 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{5}{60} = \\frac{1}{12} ) hour.<\/li>\n\n\n\n<li>Mixed number: 3 ( \\frac{1}{12} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{5}{60} = 0.08 ), so the decimal is ( 3 + 0.08 = 3.08 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(f) 6 hours 2 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{2}{60} = \\frac{1}{30} ) hour.<\/li>\n\n\n\n<li>Mixed number: 6 ( \\frac{1}{30} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{2}{60} = 0.03 ), so the decimal is ( 6 + 0.03 = 6.03 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(g) 1 hour 7 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{7}{60} ) hour.<\/li>\n\n\n\n<li>Mixed number: 1 ( \\frac{7}{60} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{7}{60} = 0.12 ), so the decimal is ( 1 + 0.12 = 1.12 ) hours.<\/li>\n<\/ul>\n\n\n\n<p><strong>(h) 2 hours 23 minutes<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Convert minutes to fraction: ( \\frac{23}{60} ) hour.<\/li>\n\n\n\n<li>Mixed number: 2 ( \\frac{23}{60} ) hours.<\/li>\n\n\n\n<li>Decimal: ( \\frac{23}{60} = 0.38 ), so the decimal is ( 2 + 0.38 = 2.38 ) hours.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answers:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(a) 1 hour 40 minutes = 1 ( \\frac{2}{3} ) hours = 1.67 hours<\/li>\n\n\n\n<li>(b) 3 hours 10 minutes = 3 ( \\frac{1}{6} ) hours = 3.17 hours<\/li>\n\n\n\n<li>(c) 1 hour 6 minutes = 1 ( \\frac{1}{10} ) hours = 1.10 hours<\/li>\n\n\n\n<li>(d) 2 hours 18 minutes = 2 ( \\frac{3}{10} ) hours = 2.30 hours<\/li>\n\n\n\n<li>(e) 3 hours 5 minutes = 3 ( \\frac{1}{12} ) hours = 3.08 hours<\/li>\n\n\n\n<li>(f) 6 hours 2 minutes = 6 ( \\frac{1}{30} ) hours = 6.03 hours<\/li>\n\n\n\n<li>(g) 1 hour 7 minutes = 1 ( \\frac{7}{60} ) hours = 1.12 hours<\/li>\n\n\n\n<li>(h) 2 hours 23 minutes = 2 ( \\frac{23}{60} ) hours = 2.38 hours<\/li>\n<\/ul>\n\n\n\n<p>These conversions provide a way to express time in different formats, which is useful for calculations, planning, or scheduling.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Convert the following times from hours and minutes to hours, giving your answers as mixed numbers and decimals, correct to 2 decimal places. (a) 1 hour 40 minutes (b) 3 hours 10 minutes (c) 1 hour 6 minutes (d) 2 hours 18 minutes (e) 3 hours 5 minutes (f) 6 hours 2 minutes (g) i [&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-166280","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166280","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=166280"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166280\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166280"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166280"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166280"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}