{"id":141,"date":"2022-04-08T05:01:20","date_gmt":"2022-04-08T05:01:20","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=141"},"modified":"2024-11-25T08:40:13","modified_gmt":"2024-11-25T08:40:13","slug":"h-7-add-and-subtract-mixed-numbers-word-problems","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/h-7-add-and-subtract-mixed-numbers-word-problems\/","title":{"rendered":"H.7 Add and subtract mixed numbers: 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 mixed numbers: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-87982a1885f28362b0345dcf26d18c66\" style=\"color:#74008b\"><strong>Key notes :<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-497347e0c2bd0b8386d8ca6716a97386\" style=\"color:#000060\">1. <strong>Understanding Mixed Numbers:<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A <strong>mixed number<\/strong> consists of a whole number and a fraction (e.g., 3 1\/4).<\/li>\n\n\n\n<li>It can be expressed as: <\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"632\" height=\"84\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-97.png\" alt=\"\" class=\"wp-image-14793\" style=\"width:544px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-97.png 632w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-97-300x40.png 300w\" sizes=\"auto, (max-width: 632px) 100vw, 632px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-cfe596e69b649b2f96e7106021db8ed2\" style=\"color:#000060\">2. <strong>Converting Mixed Numbers to Improper Fractions:<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To <strong>add or subtract<\/strong> mixed numbers, it\u2019s often easier to first convert them to <strong>improper fractions<\/strong>.<\/li>\n\n\n\n<li><strong>Conversion formula: <\/strong>Improper\u00a0fraction=(Whole\u00a0number\u00d7Denominator)+Numerator<\/li>\n\n\n\n<li><strong>Example:<\/strong> Convert 2(1\/3) to an improper fraction<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"80\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-98.png\" alt=\"\" class=\"wp-image-14794\" style=\"width:370px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-98.png 308w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-98-300x78.png 300w\" sizes=\"auto, (max-width: 308px) 100vw, 308px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-ae79b298c518411ec4d254fd0d639f4e\" style=\"color:#000060\">3. <strong>Adding Mixed Numbers:<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1:<\/strong> Convert both mixed numbers into improper fractions.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Find a common denominator if needed (usually for fractions with different denominators).<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> Add the improper fractions.<\/li>\n\n\n\n<li><strong>Step 4:<\/strong> Convert the sum back to a mixed number if necessary.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-huge-font-size\"><strong>Example:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"166\" height=\"88\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-99.png\" alt=\"\" class=\"wp-image-14795\" style=\"width:154px;height:auto\"\/><\/figure><\/div>\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"487\" height=\"296\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-100.png\" alt=\"\" class=\"wp-image-14796\" style=\"width:619px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-100.png 487w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-100-300x182.png 300w\" sizes=\"auto, (max-width: 487px) 100vw, 487px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">4. <strong>Subtracting Mixed Numbers:<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1:<\/strong> Convert both mixed numbers into improper fractions.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Find a common denominator if needed.<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> Subtract the improper fractions.<\/li>\n\n\n\n<li><strong>Step 4:<\/strong> Convert the result back to a mixed number if necessary.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-huge-font-size\"><strong>Example:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"127\" height=\"86\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-101.png\" alt=\"\" class=\"wp-image-14799\" style=\"width:159px;height:auto\"\/><\/figure><\/div>\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"476\" height=\"287\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-102.png\" alt=\"\" class=\"wp-image-14800\" style=\"width:620px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-102.png 476w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-102-300x181.png 300w\" sizes=\"auto, (max-width: 476px) 100vw, 476px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">5. <strong>Word Problems:<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>In word problems, carefully read to understand how to represent the mixed numbers.<\/li>\n\n\n\n<li><strong>Example 1 (Addition):<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>Problem:<\/strong> Emily baked 3 (1\/2)cakes, and her friend baked 4 (2\/3) cakes. How many cakes did they bake in total?<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"370\" height=\"291\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-103.png\" alt=\"\" class=\"wp-image-14803\" style=\"width:556px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-103.png 370w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-103-300x236.png 300w\" sizes=\"auto, (max-width: 370px) 100vw, 370px\" \/><\/figure>\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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-7e7239c596cdf625bd6f4ef79c5460e9\" style=\"background-color:#c5f4f8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-e1c39d5180804eca9d92ccdc2091b389\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Ava made 15&nbsp;3\/8 bags of popcorn for a film night with some friends. Together they ate 4&nbsp;7\/8 bags of it. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-08ba706ebc1df16f1339806ec0162e40\" style=\"color:#b00012\">How much popcorn was left?<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the amount of popcorn left by subtracting 4&nbsp;7\/8 from 15&nbsp;3\/8.<\/p>\n\n\n\n<p>Subtract whole numbers from whole numbers and fractions from fractions.<\/p>\n\n\n\n<p>15 3\/8 &#8211; 4 7\/8 = ? <\/p>\n\n\n\n<p>You can&#8217;t subtract yet, because the fraction part of 4 7\/8 is&nbsp;larger&nbsp;than the fraction part of&nbsp;15 3\/8 <\/p>\n\n\n\n<p>Rewrite&nbsp;15 3\/8 so that you can subtract.<\/p>\n\n\n\n<p>15 3\/8 = 14+ 8\/8 +3\/8 = 14 11\/8<\/p>\n\n\n\n<p>Now subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.<\/p>\n\n\n\n<p>14 11\/8 &#8211; 4 7\/8 = 10 4\/8<\/p>\n\n\n\n<p>Now simplify.<\/p>\n\n\n\n<p>10 4\/8 = 10 1\/2<\/p>\n\n\n\n<p>Write the answer.<\/p>\n\n\n\n<p>15 3\/8 &#8211; 4 7\/8 = 10 1\/2<\/p>\n\n\n\n<p>Ava has 10&nbsp;1\/2 bags of popcorn left.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-7cc9dc62cddc4170ce243fbe02dd42ca\" style=\"background-color:#f2e9a4\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-2d86d8fc7c1721d2c2a0c73eb1ea836d\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>At a pizza party, Rebecca and her friends drank 2&nbsp;1\/8 bottles of lemon-lime soda and 3&nbsp;1\/8 bottles of cola.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-33b40c88f625278d66eaaaadcc27a21c\" style=\"color:#b00012\"> How much soda did they drink in all?<\/p>\n<\/div><\/div>\n\n\n\n<p>Find how much soda they drank in all by adding 2&nbsp;1\/8 and 3&nbsp;1\/8.<\/p>\n\n\n\n<p>Add. Remember to add whole numbers to whole numbers and fractions to fractions.<\/p>\n\n\n\n<p>2 1\/8 +3 1\/8 = 5 2\/8<\/p>\n\n\n\n<p>Now simplify.<\/p>\n\n\n\n<p>5 2\/8 = 5 1\/4<\/p>\n\n\n\n<p>Write the answer.<\/p>\n\n\n\n<p>2 1\/8 +3 1\/8 = 5 1\/4<\/p>\n\n\n\n<p>Rebecca and her friends drank 5&nbsp;1\/4 bottles in all.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-87bf2b55496f0721d108c52e5e20060a\" style=\"background-color:#d2d9f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-a82c3797bd0b2429c7e14fb91c7ff6a9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>A farmer started the day with 11&nbsp;3\/4 buckets of seeds. After spending the morning sowing seeds, she now has 4&nbsp;1\/4 buckets left.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-03b2e88e2d4e7bb0761fe857f7981205\" style=\"color:#b00012\"> How many buckets of seeds did the farmer sow?<\/p>\n\n\n\n<p>Write your answer as a fraction or as a whole or mixed number.<\/p>\n\n\n\n<p>___&nbsp;buckets<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the amount of seeds sown by subtracting 4&nbsp;1\/4 from 11&nbsp;3\/4.<\/p>\n\n\n\n<p>Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.<\/p>\n\n\n\n<p>11 3\/4 &#8211; 4 1\/4 = 7 2\/4<\/p>\n\n\n\n<p>Now simplify.<\/p>\n\n\n\n<p>7 2\/4 = 7 1\/2<\/p>\n\n\n\n<p>Write the answer.<\/p>\n\n\n\n<p>11 3\/4 &#8211; 4 1\/4 = 7 1\/2<\/p>\n\n\n\n<p>The farmer sowed 7 1\/2 buckets of seeds.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>let&#8217;s practice:<\/strong><\/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\/81098\/029\/456\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-98.png\" alt=\"\" class=\"wp-image-6330\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-98.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-98-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-98-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-98-400x400.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\/81506\/114\/701\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-105.png\" alt=\"\" class=\"wp-image-6331\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-105.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-105-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-105-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-105-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract mixed numbers: word problems Key notes : 1. Understanding Mixed Numbers: 2. Converting Mixed Numbers to Improper Fractions: 3. Adding Mixed Numbers: Example: 4. Subtracting Mixed Numbers: Example: 5. Word Problems: Learn with an example Ava made 15&nbsp;3\/8 bags of popcorn for a film night with some friends. Together they ate 4&nbsp;7\/8<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/h-7-add-and-subtract-mixed-numbers-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.7 Add and subtract mixed numbers: 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-141","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/141","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=141"}],"version-history":[{"count":22,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/141\/revisions"}],"predecessor-version":[{"id":14804,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/141\/revisions\/14804"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=141"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}