Problem 1: 18234\\frac{18}{2 \\frac{3}{4}}243\u200b18\u200b<\/h3>\n\n\n\n
To solve this, let’s first convert the mixed fraction to an improper fraction.<\/p>\n\n\n\n
- \n
- Convert 2342 \\frac{3}{4}243\u200b into an improper fraction:<\/li>\n<\/ol>\n\n\n\n
234=2\u00d74+34=8+34=1142 \\frac{3}{4} = \\frac{2 \\times 4 + 3}{4} = \\frac{8 + 3}{4} = \\frac{11}{4}243\u200b=42\u00d74+3\u200b=48+3\u200b=411\u200b<\/p>\n\n\n\n
Now the problem becomes:18114=18\u00d7411\\frac{18}{\\frac{11}{4}} = 18 \\times \\frac{4}{11}411\u200b18\u200b=18\u00d7114\u200b<\/p>\n\n\n\n
Multiply:18\u00d7411=7211\\frac{18 \\times 4}{11} = \\frac{72}{11}1118\u00d74\u200b=1172\u200b<\/p>\n\n\n\n
Thus, the quotient in simplest form is 7211\\frac{72}{11}1172\u200b.<\/p>\n\n\n\n
Problem 2: 30\u00f725630 \\div 2 \\frac{5}{6}30\u00f7265\u200b<\/h3>\n\n\n\n
Again, start by converting 2562 \\frac{5}{6}265\u200b into an improper fraction.<\/p>\n\n\n\n
- \n
- Convert 2562 \\frac{5}{6}265\u200b into an improper fraction:<\/li>\n<\/ol>\n\n\n\n
256=2\u00d76+56=12+56=1762 \\frac{5}{6} = \\frac{2 \\times 6 + 5}{6} = \\frac{12 + 5}{6} = \\frac{17}{6}265\u200b=62\u00d76+5\u200b=612+5\u200b=617\u200b<\/p>\n\n\n\n
Now, we divide:30\u00f7176=30\u00d7617=30\u00d7617=1801730 \\div \\frac{17}{6} = 30 \\times \\frac{6}{17} = \\frac{30 \\times 6}{17} = \\frac{180}{17}30\u00f7617\u200b=30\u00d7176\u200b=1730\u00d76\u200b=17180\u200b<\/p>\n\n\n\n
So, the quotient in simplest form is 18017\\frac{180}{17}17180\u200b.<\/p>\n\n\n\n
Problem 3: 245\u221212\\frac{24}{5} – 12524\u200b\u221212<\/h3>\n\n\n\n
First, we convert 12 into a fraction with the same denominator as 245\\frac{24}{5}524\u200b.12=12\u00d755=60512 = \\frac{12 \\times 5}{5} = \\frac{60}{5}12=512\u00d75\u200b=560\u200b<\/p>\n\n\n\n
Now subtract:245\u2212605=24\u2212605=\u2212365\\frac{24}{5} – \\frac{60}{5} = \\frac{24 – 60}{5} = \\frac{-36}{5}524\u200b\u2212560\u200b=524\u221260\u200b=5\u221236\u200b<\/p>\n\n\n\n
So, the result is \u2212365\\frac{-36}{5}5\u221236\u200b.<\/p>\n\n\n\n
Problem 4: Divide four apples into halves. How many halves are there?<\/h3>\n\n\n\n
Each apple can be divided into 2 halves. Since there are 4 apples, we multiply:4\u00d72=84 \\times 2 = 84\u00d72=8<\/p>\n\n\n\n
So, there are 8 halves.<\/p>\n\n\n\n
Problem 5: Cut 12 meters into 1231 \\frac{2}{3}132\u200b meter pieces. How many pieces can be made?<\/h3>\n\n\n\n
Convert 1231 \\frac{2}{3}132\u200b into an improper fraction:123=1\u00d73+23=3+23=531 \\frac{2}{3} = \\frac{1 \\times 3 + 2}{3} = \\frac{3 + 2}{3} = \\frac{5}{3}132\u200b=31\u00d73+2\u200b=33+2\u200b=35\u200b<\/p>\n\n\n\n
Now, divide 12 meters by 53\\frac{5}{3}35\u200b:12\u00f753=12\u00d735=12\u00d735=36512 \\div \\frac{5}{3} = 12 \\times \\frac{3}{5} = \\frac{12 \\times 3}{5} = \\frac{36}{5}12\u00f735\u200b=12\u00d753\u200b=512\u00d73\u200b=536\u200b<\/p>\n\n\n\n
Now, simplify:365=715\\frac{36}{5} = 7 \\frac{1}{5}536\u200b=751\u200b<\/p>\n\n\n\n
So, you can make 7 full pieces and one extra piece that is 15\\frac{1}{5}51\u200b of a meter.<\/p>\n\n\n\n
Example Problem: How many children does Mr. Cruz have?<\/h3>\n\n\n\n
Mr. Cruz has 5125 \\frac{1}{2}521\u200b hectares of land, and he wants to give 1381 \\frac{3}{8}183\u200b hectares to each child. We need to find how many children can receive this amount of land.<\/p>\n\n\n\n
First, convert both mixed numbers into improper fractions.<\/p>\n\n\n\n
- \n
- Convert 5125 \\frac{1}{2}521\u200b to an improper fraction:<\/li>\n<\/ol>\n\n\n\n
512=5\u00d72+12=10+12=1125 \\frac{1}{2} = \\frac{5 \\times 2 + 1}{2} = \\frac{10 + 1}{2} = \\frac{11}{2}521\u200b=25\u00d72+1\u200b=210+1\u200b=211\u200b<\/p>\n\n\n\n
- \n
- Convert 1381 \\frac{3}{8}183\u200b to an improper fraction:<\/li>\n<\/ol>\n\n\n\n
138=1\u00d78+38=8+38=1181 \\frac{3}{8} = \\frac{1 \\times 8 + 3}{8} = \\frac{8 + 3}{8} = \\frac{11}{8}183\u200b=81\u00d78+3\u200b=88+3\u200b=811\u200b<\/p>\n\n\n\n
Now, divide 112\\frac{11}{2}211\u200b by 118\\frac{11}{8}811\u200b:112\u00f7118=112\u00d7811\\frac{11}{2} \\div \\frac{11}{8} = \\frac{11}{2} \\times \\frac{8}{11}211\u200b\u00f7811\u200b=211\u200b\u00d7118\u200b<\/p>\n\n\n\n
Simplify:11\u00d782\u00d711=8822=4\\frac{11 \\times 8}{2 \\times 11} = \\frac{88}{22} = 42\u00d71111\u00d78\u200b=2288\u200b=4<\/p>\n\n\n\n
Thus, Mr. Cruz has 4 children.<\/p>\n\n\n\n
Conclusion<\/h3>\n\n\n\n
- \n
- The quotient of 18234\\frac{18}{2 \\frac{3}{4}}243\u200b18\u200b is 7211\\frac{72}{11}1172\u200b.<\/li>\n\n\n\n
- The quotient of 30\u00f725630 \\div 2 \\frac{5}{6}30\u00f7265\u200b is 18017\\frac{180}{17}17180\u200b.<\/li>\n\n\n\n
- The result of 245\u221212\\frac{24}{5} – 12524\u200b\u221212 is \u2212365\\frac{-36}{5}5\u221236\u200b.<\/li>\n\n\n\n
- There are 8 halves in 4 apples.<\/li>\n\n\n\n
- You can cut 12 meters into 7 full 1231 \\frac{2}{3}132\u200b meter pieces with one extra 15\\frac{1}{5}51\u200b of a meter piece.<\/li>\n\n\n\n
- Mr. Cruz has 4 children.<\/li>\n<\/ul>\n\n\n\n
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<\/figure>\n","protected":false},"excerpt":{"rendered":"Find the quotient in simplest form 1. 18:2 3\/4 = 2. 30 = 2 5\/6 = 3. 24\/5-12 = 4. Divide four apples into halves. How many halves are there? 5. Cut your 12 meters into 1 2\/3 meter. How many were you able to make? D. DIVISION OF MIXED FRACTION Rule: To divide mixed […]<\/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-239767","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239767","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=239767"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/239767\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=239767"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=239767"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=239767"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- Convert 1381 \\frac{3}{8}183\u200b to an improper fraction:<\/li>\n<\/ol>\n\n\n\n
- Convert 5125 \\frac{1}{2}521\u200b to an improper fraction:<\/li>\n<\/ol>\n\n\n\n
- Convert 2562 \\frac{5}{6}265\u200b into an improper fraction:<\/li>\n<\/ol>\n\n\n\n