{"id":181,"date":"2022-04-08T05:10:55","date_gmt":"2022-04-08T05:10:55","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=181"},"modified":"2024-12-12T05:36:52","modified_gmt":"2024-12-12T05:36:52","slug":"k-5-add-and-subtract-decimals-or-fractions-word-problems","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/k-5-add-and-subtract-decimals-or-fractions-word-problems\/","title":{"rendered":"K.5 Add and subtract decimals or fractions: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Add and subtract decimals or fractions: word problems<\/strong><\/h2>\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:#c1d1ee\"><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-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udca3 While making desserts for a bake sale, Zach used 1\/4 of a scoop of brown sugar as well as 1\/6 of a scoop of white sugar. How much more brown sugar did Zach use?<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-765faa19581e5bcecc74686844c18506\" style=\"color:#b00012\"><strong>\ud83d\udca3 Write your answer as a fraction or as a whole or mixed number.<\/strong><\/p>\n\n\n\n<p> ______scoops<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Find how much more brown sugar was used by subtracting 1\/6 from 1\/4.<\/li>\n\n\n\n<li>To subtract the fractions, you can use the lowest common denominator. The lowest common denominator is the smallest whole number that is a multiple of both 4 and 6.<\/li>\n\n\n\n<li>Write the prime factorisation for each denominator.<\/li>\n\n\n\n<li>4 = 2 \u00d7 2<br>6 = 2 \u00d7 3<\/li>\n\n\n\n<li>Repeat each prime factor the most number of times it appears in any of the prime factorisations above.<\/li>\n\n\n\n<li>The most the factor 2 appears is twice.<\/li>\n\n\n\n<li>The most the factor 3 appears is once.<\/li>\n\n\n\n<li>So, multiply:<\/li>\n\n\n\n<li>2 \u00d7 2 \u00d7 3 = 12<\/li>\n\n\n\n<li>The lowest common denominator is 12. Find equivalent fractions with 12 as the denominator.<\/li>\n\n\n\n<li>1 \u00d7 3\/4 \u00d7 3 =3\/12<\/li>\n\n\n\n<li>1 \u00d7 2\/6 \u00d7 2 =2\/12<\/li>\n\n\n\n<li>Now subtract the fractions. Subtract the numerators and keep the denominators the same.<\/li>\n\n\n\n<li>3\/12\u22122\/12=1\/12<\/li>\n\n\n\n<li>Zach used 1\/12 of a scoop more brown sugar.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b2e7be\"><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-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udca3 A carpenter bought a piece of wood that was 4.6 centimetres long. Then she sawed 0.5 centimetres off the end. <\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-6aecbef4b8ad1366791e4e812b0b9f14\" style=\"color:#b00012\"><strong>How long is the piece of wood now?<\/strong><\/p>\n\n\n\n<p>_____ centimetres<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract the numbers of centimetres. Remember to line up the decimal points.<\/li>\n\n\n\n<li>4 . 6 \u2013 0 . 5= 4 . 1<\/li>\n\n\n\n<li>The piece of wood is 4.1 centimetres long now.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#dedab9\"><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-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\udca3 Of the shirts in Savannah&#8217;s chest of drawers, 7\/10 are striped, while another 1\/5 are plaid. What fraction of the shirts are either striped or plaid?<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-765faa19581e5bcecc74686844c18506\" style=\"color:#b00012\"><strong>\ud83d\udca3 Write your answer as a fraction or as a whole or mixed number.<\/strong><\/p>\n\n\n\n<p> _______of the shirts<\/p>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Find the fraction of the shirts that are either striped or plaid by adding 7\/10 and 1\/5.<\/li>\n\n\n\n<li>You can use 10 as the common denominator.<br>Multiply the numerator and the denominator of<br>1\/5<br>by 2 to find an equivalent fraction.<\/li>\n\n\n\n<li>1 \u00d7 2\/ 5 \u00d7 2 = 2\/10<\/li>\n\n\n\n<li>Now add the fractions. Add the numerators and keep the denominators the same.<\/li>\n\n\n\n<li>7\/10+2\/10 = 9\/10<\/li>\n\n\n\n<li>The fraction of the shirts that are either striped or plaid is 9\/10.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/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\/83704\/076\/860\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-14.png\" alt=\"\" class=\"wp-image-5429\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-14.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-14-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-14-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-14-400x400.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\/30809\/948\/111\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-15.png\" alt=\"\" class=\"wp-image-5430\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-15.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-15-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-15-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-15-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Add and subtract decimals or fractions: word problems Learn with an example \ud83d\udca3 While making desserts for a bake sale, Zach used 1\/4 of a scoop of brown sugar as well as 1\/6 of a scoop of white sugar. How much more brown sugar did Zach use? \ud83d\udca3 Write your answer as a fraction or<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/k-5-add-and-subtract-decimals-or-fractions-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;K.5 Add and subtract decimals or fractions: 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-181","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/181","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=181"}],"version-history":[{"count":7,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/181\/revisions"}],"predecessor-version":[{"id":15045,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/181\/revisions\/15045"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}