{"id":135,"date":"2022-04-08T05:00:15","date_gmt":"2022-04-08T05:00:15","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=135"},"modified":"2024-11-25T05:32:15","modified_gmt":"2024-11-25T05:32:15","slug":"h-4-add-and-subtract-fractions-with-unlike-denominators-word-problems","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/h-4-add-and-subtract-fractions-with-unlike-denominators-word-problems\/","title":{"rendered":"H.4 Add and subtract fractions with unlike denominators: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-huge-font-size\" style=\"color:#00056d;text-transform:uppercase\"><strong>Add and subtract fractions with unlike denominators: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-6c05a1d45afc4903778496ed08a72a86\" style=\"color:#74008b\"><strong>Key notes :-<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-61fb1688d45e3818239ad0d363765bc4\" style=\"color:#000060\"><strong>Identify Fractions with Unlike Denominators<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Fractions with different denominators cannot be added or subtracted directly. They must be converted to equivalent fractions with the same denominator.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-fd80904086952df187792eb4d298243d\" style=\"color:#000060\"><strong>Find the Least Common Denominator (LCD)<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>The Least Common Denominator (LCD) is the smallest number that is divisible by both denominators.<\/li>\n\n\n\n<li><strong>Example:<\/strong> For 1\/4\u200b and 1\/6, the LCD is 12.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-ee2ed6b4f7597fc4207c1d7c5dd2dac9\" style=\"color:#000060\"><strong>Convert Fractions to Equivalent Fractions<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Multiply both the numerator and denominator of each fraction by a number that makes the denominators equal.<\/li>\n\n\n\n<li><strong>Example: <\/strong>To convert 1\/4\u200b and 1\/6\u200b to fractions with denominator 12:\n<ul class=\"wp-block-list\">\n<li>1\/4=3\/12<\/li>\n\n\n\n<li>1\/6=2\/12<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-be8ada2ac98fcb7546246c741061d39a\" style=\"color:#000060\"><strong>Add or Subtract Fractions<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Once the fractions have the same denominator, add or subtract the numerators, keeping the denominator the same.<\/li>\n\n\n\n<li><strong>Example (Addition):<\/strong> 3\/12+2\/12=5\/12<\/li>\n\n\n\n<li><strong>Example (Subtraction): <\/strong>3\/12\u22122\/12=1\/12<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-6e18190177afa069115145470f1517b7\" style=\"color:#000060\"><strong>Simplify the Result<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>After adding or subtracting, simplify the fraction if necessary. This can be done by dividing both the numerator and denominator by their greatest common divisor (GCD).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#aff2db\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Last week Sharon and her roommates ate 1\/2 of a carton of yoghurt, and this week they ate 5\/6 of a carton. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-ec064db9fa9727c1fc837d8bfe912ba4\" style=\"color:#b00012\">How much more yoghurt did they eat this week compared to last week?<\/p>\n<\/div><\/div>\n\n\n\n<p>Find how many more cartons they ate this week by subtracting 1\/2 from 5\/6.<\/p>\n\n\n\n<p>You can use 6 as the common denominator.<br>Multiply the numerator and the denominator of 1\/2 by 3 to find an equivalent fraction.<\/p>\n\n\n\n<p><span style=\"text-decoration: underline;\">1 \u00d7 3<\/span> = <span style=\"text-decoration: underline;\">3<\/span><br>2 \u00d7 3    6<\/p>\n\n\n\n<p>Now subtract the fractions. Subtract the numerators and keep the denominators the same.<\/p>\n\n\n\n<p>5\/6 -3\/6 = 2\/6<\/p>\n\n\n\n<p>Sharon and her roommates ate 2\/6 of a carton more yoghurt this week.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f8e5aa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>At Jill&#8217;s Boutique, 1\/12 of the trousers are denim. Another 1\/2 is khaki.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-8ce4ce3dd3fda0732f89b080289e3b40\" style=\"color:#b00012\"> What fraction of the trousers are either denim or khaki?<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the fraction of the trousers that are either denim or khaki by adding 1\/12 and 1\/2.<\/p>\n\n\n\n<p>You can use 12 as the common denominator.<\/p>\n\n\n\n<p>Multiply the numerator and the denominator of&nbsp;1\/2 by 6 to find an equivalent fraction.<\/p>\n\n\n\n<p>1\u00d76 \/ 2\u00d76  = 6\/12<\/p>\n\n\n\n<p>Now add the fractions. Add the numerators and keep the denominators the same.<\/p>\n\n\n\n<p>1\/12+6\/12 = 7\/12<\/p>\n\n\n\n<p>The fraction of the trousers that are either denim or khaki is 7\/12.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#aef3f3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>While making desserts for a bake sale, Zane used 2\/5 of a scoop of brown sugar as well as 3\/10 of a scoop of white sugar.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-cf9ef48adf26c96b4a4c4b2114849da9\" style=\"color:#b00012\"> How much more brown sugar did Zane use?<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Find how much more brown sugar was used by subtracting 3\/10 from 2\/5.<\/p>\n\n\n\n<p>You can use 10 as the common denominator.<br>Multiply the numerator and the denominator of 2\/5 by 2 to find an equivalent fraction.<\/p>\n\n\n\n<p>2\u00d72 \/ 5\u00d72 = 4\/10 <\/p>\n\n\n\n<p>Now subtract the fractions. Subtract the numerators and keep the denominators the same.<\/p>\n\n\n\n<p>4\/10 &#8211; 3\/10 = 1\/10<\/p>\n\n\n\n<p>Zane used 1\/10 of a scoop more brown sugar.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice:<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/81096\/345\/644\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-10.png\" alt=\"\" class=\"wp-image-10105\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-10.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-10-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-10-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-10-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/81502\/618\/532\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-11.png\" alt=\"\" class=\"wp-image-10106\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-11.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-11-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-11-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-11-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract fractions with unlike denominators: word problems Key notes :- Identify Fractions with Unlike Denominators: Find the Least Common Denominator (LCD): Convert Fractions to Equivalent Fractions: Add or Subtract Fractions: Simplify the Result: Learn with an example Last week Sharon and her roommates ate 1\/2 of a carton of yoghurt, and this week<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/h-4-add-and-subtract-fractions-with-unlike-denominators-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.4 Add and subtract fractions with unlike denominators: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-135","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=135"}],"version-history":[{"count":17,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/135\/revisions"}],"predecessor-version":[{"id":14767,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/135\/revisions\/14767"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}