{"id":110,"date":"2022-04-12T09:35:16","date_gmt":"2022-04-12T09:35:16","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=110"},"modified":"2025-04-07T11:48:36","modified_gmt":"2025-04-07T11:48:36","slug":"f-6-compare-and-order-fractions","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/f-6-compare-and-order-fractions\/","title":{"rendered":"F.6 Compare and order fractions"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Compare and order fractions<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">Key notes:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>Types of Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Like fractions<\/strong>: Same denominators (e.g., 3\/8 and 5\/8)<\/li>\n\n\n\n<li><strong>Unlike fractions<\/strong>: Different denominators (e.g., 2\/3 and 3\/5)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>Comparing Like Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>Rule<\/strong>: Just compare numerators.<\/li>\n\n\n\n<li><strong>Example<\/strong>:<br>3\/8 &lt; 5\/8\u200b because 3 &lt; 5<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>Comparing Unlike Fractions<\/strong><\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Method 1: <strong>Convert to Equivalent Fractions (Common Denominator)<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Find the <strong>LCM of denominators<\/strong><\/li>\n\n\n\n<li>Convert both fractions to have the same denominator<\/li>\n\n\n\n<li>Then compare numerators<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<p class=\"has-large-font-size\">Compare 2\/3\u200b and 3\/5<\/p>\n\n\n\n<p class=\"has-large-font-size\">LCM of 3 and 5 = 15<\/p>\n\n\n\n<p class=\"has-large-font-size\">2\/3=10\/15,3\/5=9\/15<\/p>\n\n\n\n<p class=\"has-large-font-size\">10\/15>9\/15 \u2192 So, 2\/3>3\/5<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-large-font-size\">Method 2: <strong>Cross Multiplication<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Multiply numerator of each fraction with the denominator of the other.<\/li>\n\n\n\n<li>Compare results.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<br>Compare 23 and 35<\/p>\n\n\n\n<p class=\"has-large-font-size\">Cross multiply:<\/p>\n\n\n\n<p class=\"has-large-font-size\">2 \u00d7 5 = 10<br>3 \u00d7 3 = 9<\/p>\n\n\n\n<p class=\"has-large-font-size\">Since 10 > 9, 2\/3 > 3\/5<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>Ordering Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Step 1: Convert all fractions to have the <strong>same denominator<\/strong> or use <strong>decimal conversion<\/strong><\/li>\n\n\n\n<li>Step 2: Arrange based on numerators or decimal values<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<br>Order: 1\/2 , 3\/4 , 2\/3<\/p>\n\n\n\n<p class=\"has-large-font-size\">Convert to decimals:<\/p>\n\n\n\n<p class=\"has-large-font-size\">1\/2 = 0.5 , 3\/4 = 0.75 , 2\/3 \u2248 0.666<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Ascending order<\/strong>: 1\/2 &lt; 2\/3 &lt; 3\/4<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\"><strong>Tips<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Always simplify fractions before comparing if needed.<\/li>\n\n\n\n<li>Use number lines for a visual understanding.<\/li>\n\n\n\n<li>For mixed numbers, convert to improper fractions if needed.<\/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:#fffd7b\"><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\" style=\"color:#b00012\">\ud83d\udd25Which&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 is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__50_-removebg-preview.png\" alt=\"\" class=\"wp-image-2612\"\/><figcaption class=\"wp-element-caption\">1&nbsp;out of&nbsp;10&nbsp;equal parts is&nbsp;colored.<br><\/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 decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__52_-removebg-preview.png\" alt=\"\" class=\"wp-image-2615\"\/><figcaption class=\"wp-element-caption\">8&nbsp;out of&nbsp;10&nbsp;equal parts are&nbsp;colored.<\/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-background has-large-font-size\" style=\"background-color:#c7cbfb\"><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<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\" style=\"color:#b00012\">\ud83d\udd25Which&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\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<\/div><\/div>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__54_-removebg-preview.png\" alt=\"\" class=\"wp-image-2620\"\/><figcaption class=\"wp-element-caption\">1&nbsp;out of&nbsp;4&nbsp;equal parts is&nbsp;colored.<\/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 decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__55_-removebg-preview.png\" alt=\"\" class=\"wp-image-2622\" style=\"width:300px;height:auto\"\/><figcaption class=\"wp-element-caption\">3&nbsp;out of&nbsp;4&nbsp;equal parts are&nbsp;colored.<\/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-background has-large-font-size\" style=\"background-color:#befae1\"><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\" style=\"color:#b00012\">\ud83d\udd25Which&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 decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__56_-removebg-preview.png\" alt=\"\" class=\"wp-image-2627\" style=\"width:256px;height:auto\"\/><figcaption class=\"wp-element-caption\">1&nbsp;out of&nbsp;2&nbsp;equal parts is&nbsp;colored.<\/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 decoding=\"async\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__57_-removebg-preview.png\" alt=\"\" class=\"wp-image-2626\" style=\"width:278px;height:auto\"\/><figcaption class=\"wp-element-caption\">1&nbsp;out of&nbsp;12&nbsp;equal parts is&nbsp;colored.<\/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<div class=\"wp-block-columns are-vertically-aligned-center has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#ffef76\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-2.png\" alt=\"\" class=\"wp-image-9361\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-2.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-2-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-2-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-2-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/16957113503671kaqnzf4-voicemaker.in-speech.mp3\"><\/audio><\/figure>\n<\/div>\n<\/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\/36486\/828\/891\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-298.png\" alt=\"\" class=\"wp-image-7517\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-298.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-298-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-298-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-298-400x400.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\/89896\/480\/271\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-308.png\" alt=\"\" class=\"wp-image-7518\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-308.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-308-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-308-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-308-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Compare and order fractions Key notes: Types of Fractions Comparing Like Fractions Comparing Unlike Fractions Method 1: Convert to Equivalent Fractions (Common Denominator) Example: Compare 2\/3\u200b and 3\/5 LCM of 3 and 5 = 15 2\/3=10\/15,3\/5=9\/15 10\/15>9\/15 \u2192 So, 2\/3>3\/5 Method 2: Cross Multiplication Example:Compare 23 and 35 Cross multiply: 2 \u00d7 5 = 103<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/f-6-compare-and-order-fractions\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.6 Compare and order fractions&#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,"footnotes":""},"class_list":["post-110","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/110","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=110"}],"version-history":[{"count":19,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/110\/revisions"}],"predecessor-version":[{"id":15954,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/110\/revisions\/15954"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}