{"id":121,"date":"2022-04-08T04:56:48","date_gmt":"2022-04-08T04:56:48","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=121"},"modified":"2024-11-14T06:06:24","modified_gmt":"2024-11-14T06:06:24","slug":"g-9-convert-between-improper-fractions-and-mixed-numbers","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/g-9-convert-between-improper-fractions-and-mixed-numbers\/","title":{"rendered":"G.9 Convert between improper fractions and mixed numbers"},"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>Convert between improper fractions and mixed numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8844a52ef1ee1cc1c8133e8d8f09a585\" style=\"color:#74008b;text-transform:capitalize\"><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-1875eb971b2c8b52f886a6a884a665dc\" style=\"color:#000060\">1. <strong>Understanding Improper Fractions and Mixed Numbers<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Improper Fraction<\/strong>: A fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 7\/4 or 9\/5.<\/li>\n\n\n\n<li><strong>Mixed Number<\/strong>: A number that consists of a whole number and a proper fraction. For example, 1 3\/4 or 2 1\/2.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-4e2810bd51493d70c3adc716307b8b5c\" style=\"color:#000060\">2. <strong>Converting Improper Fractions to Mixed Numbers<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1<\/strong>: Divide the numerator by the denominator to get the quotient (whole number).<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: The remainder becomes the numerator of the fraction part.<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: Write the whole number with the fraction.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>: Convert 7\/4 to a mixed number:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Divide 7 by 4: 7 \u00f7 4 = 1 with a remainder of 3.<\/li>\n\n\n\n<li class=\"has-large-font-size\">The mixed number is 1 3\/4.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-d4a489f13e3205500b7f950ce599925b\" style=\"color:#000060\">3. <strong>Converting Mixed Numbers to Improper Fractions<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1<\/strong>: Multiply the whole number by the denominator of the fraction.<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Add the numerator of the fraction to the result.<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: Write the result as the numerator of the improper fraction and keep the denominator the same.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>: Convert 2 1\/3 to an improper fraction:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Multiply the whole number (2) by the denominator (3): 2 \u00d7 3 = 6.<\/li>\n\n\n\n<li>Add the numerator (1): 6 + 1 = 7.<\/li>\n\n\n\n<li>The improper fraction is 7\/3.<\/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:#f6d8d8\"><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 class=\"has-text-color has-link-color wp-elements-071b0da42a35351be302f6517d377f3b\" style=\"color:#b00012\">Write&nbsp;12\/5 &nbsp;as a mixed number.<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide 12 by 5.<\/p>\n\n\n\n<p>12 \u00f7 5 = 2&nbsp;R2<\/p>\n\n\n\n<p>You can make 2 wholes and will have 2\/5 left over.<\/p>\n\n\n\n<p>Write the mixed number:<\/p>\n\n\n\n<p>2 2\/5<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f7d3f4\"><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 class=\"has-text-color has-link-color wp-elements-719a9a530a6361b8f1937f95910f49b2\" style=\"color:#b00012\">Write 81\/10&nbsp;as a mixed number.<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide 81 by 10.<\/p>\n\n\n\n<p>81 \u00f7 10 = 8&nbsp;R1<\/p>\n\n\n\n<p>You can make 8 wholes and will have 1\/10 left over.<\/p>\n\n\n\n<p>Write the mixed number:<\/p>\n\n\n\n<p>8 1\/10<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c7cdf5\"><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 class=\"has-text-color has-link-color wp-elements-80fcddee3f08d51da249c4597f06110f\" style=\"color:#b00012\">Write 94 \/ 9 as a mixed number.<\/p>\n<\/div><\/div>\n\n\n\n<p>Divide 94 by 9.<\/p>\n\n\n\n<p>94 \u00f7 9 = 10&nbsp;R4<\/p>\n\n\n\n<p>You can make 10 wholes and will have 4\/9&nbsp;left over.<\/p>\n\n\n\n<p>Write the mixed number:<\/p>\n\n\n\n<p>10 4\/9<\/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\/36696\/649\/562\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95.png\" alt=\"\" class=\"wp-image-6318\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-95-400x400.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\/81353\/527\/983\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-101.png\" alt=\"\" class=\"wp-image-6319\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-101.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-101-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-101-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-101-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Convert between improper fractions and mixed numbers key notes: 1. Understanding Improper Fractions and Mixed Numbers: 2. Converting Improper Fractions to Mixed Numbers: Example: Convert 7\/4 to a mixed number: 3. Converting Mixed Numbers to Improper Fractions: Example: Convert 2 1\/3 to an improper fraction: Learn with an example Write&nbsp;12\/5 &nbsp;as a mixed number. Divide<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/g-9-convert-between-improper-fractions-and-mixed-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.9 Convert between improper fractions and mixed numbers&#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-121","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/121","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=121"}],"version-history":[{"count":17,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/121\/revisions"}],"predecessor-version":[{"id":14611,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/121\/revisions\/14611"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}