{"id":117,"date":"2022-04-08T04:56:01","date_gmt":"2022-04-08T04:56:01","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=117"},"modified":"2024-11-14T05:56:42","modified_gmt":"2024-11-14T05:56:42","slug":"g-7-compare-fractions-with-like-and-unlike-denominators","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/g-7-compare-fractions-with-like-and-unlike-denominators\/","title":{"rendered":"G.7 Compare fractions with like and unlike denominators"},"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>Compare fractions with like and unlike denominators<\/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-3f9a1fb3704d43f505477618f63f1f2b\" style=\"color:#000060\">1. <strong>Fractions with Like Denominators<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Fractions with the same denominator are easier to compare because the denominator represents the total number of equal parts.<\/li>\n\n\n\n<li><strong>How to compare<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Compare the numerators directly (the bigger numerator represents the bigger fraction).<\/li>\n\n\n\n<li>Example: Compare 3\/7\u200b and 5\/7\u200b. Since both fractions have the same denominator, 5\/7 is greater because 5 is larger than 3.<\/li>\n<\/ul>\n<\/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-54c341da55f6bdcd1a8a6d631e5fbc2e\" style=\"color:#000060\">2. <strong>Fractions with Unlike Denominators<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>When the fractions have different denominators, you cannot directly compare them. You need to make the denominators the same.<\/li>\n\n\n\n<li><strong>How to compare<\/strong>:\n<ol class=\"wp-block-list\">\n<li><strong>Find a common denominator<\/strong>: This is usually the <strong>least common denominator (LCD)<\/strong>, which is the smallest multiple that both denominators share.<\/li>\n\n\n\n<li><strong>Rewrite the fractions<\/strong>: Multiply the numerator and denominator of each fraction by a number that makes the denominators the same.<\/li>\n\n\n\n<li><strong>Compare the numerators<\/strong>: Once the fractions have like denominators, compare the numerators.<\/li>\n<\/ol>\n<\/li>\n\n\n\n<li><strong>Example<\/strong>: Compare 2\/5\u200b and 3\/8\u200b:\n<ul class=\"wp-block-list\">\n<li>The least common denominator of 5 and 8 is 40.<\/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=\"531\" height=\"177\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-52.png\" alt=\"\" class=\"wp-image-14601\" style=\"width:637px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-52.png 531w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-52-300x100.png 300w\" sizes=\"auto, (max-width: 531px) 100vw, 531px\" \/><\/figure>\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-45c6f9ee3dd2b301808854ed7780fe1e\" style=\"color:#000060\">3. <strong>Simplifying Fractions<\/strong>:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">Before comparing fractions, simplify them if necessary to make the comparison easier.<\/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-e47a0ccd391a2c6cfc3b5743c03a6626\" style=\"color:#000060\">4. <strong>Using Visual Models<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>You can also use visual models, such as fraction bars or circles, to help compare fractions. This is particularly useful for understanding why fractions with the same denominator are easier to compare.<\/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-67651802832b0585014f3b4b71e93b41\" style=\"color:#000060\">5. <strong>Fraction Comparison Symbols<\/strong>:<\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Use the symbols &lt; (less than), &gt; (greater than), or = (equal to) to express the relationship between fractions after comparing them.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"64\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-53.png\" alt=\"\" class=\"wp-image-14602\" style=\"width:290px;height:auto\"\/><\/figure>\n\n\n\n<p class=\"has-text-align-center has-text-color has-link-color has-large-font-size wp-elements-3fefd20f8ce119a518e5f53333ab5486\" 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-68372e61b224aaf41668cc6beac12a0b\" style=\"background-color:#f5f4c0\"><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-15415512f10be59b8a11491ad0c1b142\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-27c58954b339ef5e2c05721f97f1ade0\" style=\"color:#b00012\">Which&nbsp;fraction is&nbsp;<strong>greater<\/strong>?<\/p>\n\n\n\n<p>A}  1\/10      <\/p>\n\n\n\n<p>B}  8\/10<\/p>\n\n\n\n<p>You&nbsp;can use models to compare&nbsp;fractions.<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__50_-removebg-preview.png\" alt=\"\" class=\"wp-image-2612\" style=\"width:278px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__50_-removebg-preview.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__50_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__50_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><figcaption class=\"wp-element-caption\"><strong>1&nbsp;out of&nbsp;10&nbsp;equal parts is&nbsp;colored.<br><\/strong><\/figcaption><\/figure><\/div>\n\n\n<p class=\"has-text-align-center\" style=\"font-size:20px\"><strong>8\/10<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__52_-removebg-preview.png\" alt=\"\" class=\"wp-image-2615\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__52_-removebg-preview.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__52_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__52_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><figcaption class=\"wp-element-caption\"><strong>8&nbsp;out of&nbsp;10&nbsp;equal parts are&nbsp;colored.<\/strong><\/figcaption><\/figure><\/div>\n\n\n<p>Both&nbsp;shapes have&nbsp;10&nbsp;equal parts and are the same size. So, the parts in the first shape are the same size as the parts in the second&nbsp;shape.<\/p>\n\n\n\n<p>When&nbsp;parts are the same size,&nbsp;8&nbsp;parts is more than&nbsp;1&nbsp;part. So, more of the second shape is&nbsp;colored.<\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:20px\">8\/10 is greater than 1\/10.<\/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-eef6f69ad4b24af11c36c97accd6968d\" style=\"background-color:#fbc5dd\"><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-d1d36a8207aabef088996ea35f9a1e2d\"><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 class=\"has-text-color has-link-color wp-elements-e28e09db84957d6e9440ee4919cb6b58\" style=\"color:#b00012\">Which&nbsp;fraction is&nbsp;<strong>less<\/strong>?<\/p>\n\n\n\n<p>A}  1\/4     <\/p>\n\n\n\n<p>B}  3\/4<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>You&nbsp;can use models to compare&nbsp;fractions.<\/p>\n\n\n\n<p class=\"has-text-align-center has-huge-font-size\">1\/4<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__54_-removebg-preview.png\" alt=\"\" class=\"wp-image-2620\" style=\"width:298px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__54_-removebg-preview.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__54_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__54_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><figcaption class=\"wp-element-caption\"><strong>1&nbsp;out of&nbsp;4&nbsp;equal parts is&nbsp;colored.<\/strong><\/figcaption><\/figure><\/div>\n\n\n<p class=\"has-text-align-center\" style=\"font-size:20px\"><strong>3\/4<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__55_-removebg-preview.png\" alt=\"\" class=\"wp-image-2622\" style=\"width:310px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__55_-removebg-preview.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__55_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__55_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><figcaption class=\"wp-element-caption\"><strong>3&nbsp;out of&nbsp;4&nbsp;equal parts are&nbsp;colored.<\/strong><\/figcaption><\/figure><\/div>\n\n\n<p>Both&nbsp;shapes have&nbsp;4&nbsp;equal parts and are the same size. So, the parts in the first shape are the same size as the parts in the second&nbsp;shape.<\/p>\n\n\n\n<p>When&nbsp;parts are the same size,&nbsp;1&nbsp;part is less than&nbsp;3&nbsp;parts. So, less of the first shape is&nbsp;colored.<\/p>\n\n\n\n<p class=\"has-text-align-center\" style=\"font-size:20px\">1\/4 is less than 3\/4.<\/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-e1a9e56f8d84c7d81d23c621733bab18\" style=\"background-color:#c3dbf7\"><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-8043d790b3e9bd3e3b5c0fa7bb2b9ead\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-e28e09db84957d6e9440ee4919cb6b58\" style=\"color:#b00012\">Which&nbsp;fraction is&nbsp;<strong>less<\/strong>?<\/p>\n\n\n\n<p>A} 1\/2<\/p>\n\n\n\n<p>B} 1\/12<\/p>\n<\/div><\/div>\n\n\n\n<p>You&nbsp;can use models to compare&nbsp;fractions.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>1\/2<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__56_-removebg-preview.png\" alt=\"\" class=\"wp-image-2627\" style=\"width:264px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__56_-removebg-preview.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__56_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__56_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><figcaption class=\"wp-element-caption\"><strong>1&nbsp;out of&nbsp;2&nbsp;equal parts is&nbsp;colored.<\/strong><\/figcaption><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-large-font-size\"><strong>1\/12<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"400\" height=\"400\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__57_-removebg-preview.png\" alt=\"\" class=\"wp-image-2626\" style=\"width:298px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__57_-removebg-preview.png 400w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__57_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__57_-removebg-preview-150x150.png 150w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><figcaption class=\"wp-element-caption\"><strong>1&nbsp;out of&nbsp;12&nbsp;equal parts is&nbsp;colored.<\/strong><\/figcaption><\/figure><\/div>\n\n\n<p>Both&nbsp;shapes have&nbsp;1&nbsp;colored part, but the part in the second shape is smaller. This is because the second shape is sliced into&nbsp;12&nbsp;parts, instead of&nbsp;2.<\/p>\n\n\n\n<p>So,&nbsp;less of the second shape is&nbsp;colored.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">1\/12 is less than 1\/2.<\/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\/80838\/317\/680\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-88.png\" alt=\"\" class=\"wp-image-6288\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-88.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-88-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-88-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-88-400x400.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\/81284\/762\/421\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-91.png\" alt=\"\" class=\"wp-image-6290\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-91.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-91-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-91-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-91-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Compare fractions with like and unlike denominators key notes: 1. Fractions with Like Denominators: 2. Fractions with Unlike Denominators: 3. Simplifying Fractions: 4. Using Visual Models: 5. Fraction Comparison Symbols: Learn with an example Which&nbsp;fraction is&nbsp;greater? A} 1\/10 B} 8\/10 You&nbsp;can use models to compare&nbsp;fractions. 8\/10 Both&nbsp;shapes have&nbsp;10&nbsp;equal parts and are the same size. So,<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/g-7-compare-fractions-with-like-and-unlike-denominators\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.7 Compare fractions with like and unlike denominators&#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-117","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/117","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=117"}],"version-history":[{"count":19,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/117\/revisions"}],"predecessor-version":[{"id":14606,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/117\/revisions\/14606"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}