{"id":137,"date":"2022-04-08T05:00:36","date_gmt":"2022-04-08T05:00:36","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=137"},"modified":"2024-11-25T06:17:39","modified_gmt":"2024-11-25T06:17:39","slug":"h-5-inequalities-with-addition-and-subtraction-of-like-and-unlike-fractions","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/h-5-inequalities-with-addition-and-subtraction-of-like-and-unlike-fractions\/","title":{"rendered":"H.5 Inequalities with addition and subtraction of like and unlike fractions"},"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>Inequalities with addition and subtraction of like and unlike fractions<\/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-257b46524a0229fa9f16fb4000c5e6c0\" style=\"color:#000060\"><strong>1. Understanding Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\"><strong>Like Fractions<\/strong>: Fractions that have the same denominator. Example: 3\/7\u200b and 5\/7\u200b.<\/li>\n\n\n\n<li class=\"has-large-font-size\"><strong>Unlike Fractions<\/strong>: Fractions that have different denominators. Example: 3\/4\u200b and 2\/3\u200b.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-230be6054588a5e86f4daf379c6440e7\" style=\"color:#000060\"><strong>2. Inequalities<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Inequalities<\/strong> are expressions used to compare numbers that are not equal.\n<ul class=\"wp-block-list\">\n<li><strong>Common inequality symbols:<\/strong>\n<ul class=\"wp-block-list\">\n<li><strong>&lt;<\/strong> (less than)<\/li>\n\n\n\n<li><strong>&gt;<\/strong> (greater than)<\/li>\n\n\n\n<li><strong>\u2264<\/strong> (less than or equal to)<\/li>\n\n\n\n<li><strong>\u2265<\/strong> (greater than or equal to)<\/li>\n\n\n\n<li><strong>\u2260<\/strong> (not equal to)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-4892e3c17d6bf48a5b279ca90ac24257\" style=\"color:#000060\"><strong>3. Comparing Fractions with Inequalities<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To compare fractions, you need to make sure the fractions are expressed in the same form (like fractions) or convert them into equivalent fractions with the same denominator.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-51d3d0f3dea5d86e1cbdbe431d563531\" style=\"color:#000060\"><strong>4. Addition and Subtraction of Like Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Like fractions<\/strong>: When adding or subtracting fractions with the same denominator, keep the denominator the same and add or subtract the numerators.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"398\" height=\"112\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-86.png\" alt=\"\" class=\"wp-image-14770\" style=\"width:524px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-86.png 398w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-86-300x84.png 300w\" sizes=\"auto, (max-width: 398px) 100vw, 398px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-f7fef92616dc69751cc8c35ad98e9403\" style=\"color:#000060\"><strong>5. Addition and Subtraction of Unlike Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Unlike fractions<\/strong>: When adding or subtracting unlike fractions, first find a common denominator, convert the fractions, then proceed with the addition or subtraction.\n<ul class=\"wp-block-list\">\n<li><strong>Steps<\/strong>:\n<ol class=\"wp-block-list\">\n<li>Find the <strong>LCM (Least Common Multiple)<\/strong> of the denominators.<\/li>\n\n\n\n<li>Convert the fractions to equivalent fractions with the common denominator.<\/li>\n\n\n\n<li>Add or subtract the numerators.<\/li>\n\n\n\n<li>Simplify the result if possible.<\/li>\n<\/ol>\n<\/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=\"413\" height=\"178\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-88.png\" alt=\"\" class=\"wp-image-14772\" style=\"width:532px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-88.png 413w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-88-300x129.png 300w\" sizes=\"auto, (max-width: 413px) 100vw, 413px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"377\" height=\"189\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-89.png\" alt=\"\" class=\"wp-image-14773\" style=\"width:489px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-89.png 377w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-89-300x150.png 300w\" sizes=\"auto, (max-width: 377px) 100vw, 377px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-34734503cba679001994b19f5bad847b\" style=\"color:#000060\"><strong>6. Solving Inequalities with Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Steps to solve inequalities<\/strong>:\n<ol class=\"wp-block-list\">\n<li>Convert fractions to like fractions (same denominator) or use cross-multiplication for unlike fractions.<\/li>\n\n\n\n<li>Once fractions are comparable, perform addition or subtraction.<\/li>\n\n\n\n<li>Use the inequality symbols (&lt;, >, \u2264, \u2265) to compare the results.<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"459\" height=\"169\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-90.png\" alt=\"\" class=\"wp-image-14777\" style=\"width:505px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-90.png 459w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-90-300x110.png 300w\" sizes=\"auto, (max-width: 459px) 100vw, 459px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"498\" height=\"225\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-91.png\" alt=\"\" class=\"wp-image-14778\" style=\"width:553px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-91.png 498w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2024\/11\/image-91-300x136.png 300w\" sizes=\"auto, (max-width: 498px) 100vw, 498px\" \/><\/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-background has-large-font-size\" style=\"background-color:#dcf7d8\"><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-b2f035b770a5eb6c42997c6a1167a8e5\" style=\"color:#b00012\">Which sign makes the statement true?<\/p>\n\n\n\n<p>8\/10 &#8211; 3\/10 _____ 5\/10 &#8211; 1\/10<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n\n\n\n<li>=<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Simplify the left side first.<\/p>\n\n\n\n<p>8\/10 &#8211; 3\/10 _____ 5\/10 &#8211; 1\/10<\/p>\n\n\n\n<p>5\/10 _____ 5\/10 &#8211; 1\/10<\/p>\n\n\n\n<p>Now simplify the right side.<\/p>\n\n\n\n<p>5\/10 _____ 5\/10 &#8211; 1\/10<\/p>\n\n\n\n<p>5\/10 _____ 4\/10<\/p>\n\n\n\n<p>Compare the fractions. These shapes show the fractions:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-7125\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-5.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__3_-removebg-preview-5-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><figcaption class=\"wp-element-caption\"><br><\/figcaption><\/figure>\n\n\n\n<p>5\/10 &gt; 4\/10<\/p>\n\n\n\n<p>8\/10 &#8211; 3\/10 &gt; 5\/10 &#8211; 1\/10<\/p>\n\n\n\n<p>The &gt; sign makes the statement true.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f7ecd2\"><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>Which sign makes the statement true?<\/p>\n\n\n\n<p>6\/10 _____ 2\/10 + 4\/10<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n\n\n\n<li>=<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Simplify the right side.<\/p>\n\n\n\n<p>6\/10 _____ 2\/10 + 4\/10<\/p>\n\n\n\n<p>6\/10 _____ 6\/10<\/p>\n\n\n\n<p>Compare the fractions. These shapes show the fractions:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__4_-removebg-preview-5.png\" alt=\"\" class=\"wp-image-7128\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__4_-removebg-preview-5.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__4_-removebg-preview-5-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>6\/10 = 6\/10<\/p>\n\n\n\n<p>6\/10 = 2\/10 + 4\/10<\/p>\n\n\n\n<p>The = sign makes the statement true.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f9d3d3\"><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>Which sign makes the statement true?<\/p>\n\n\n\n<p>6\/7 &#8211; 2\/7 _____ 3\/7<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>&gt;<\/li>\n\n\n\n<li>&lt;<\/li>\n\n\n\n<li>=<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Simplify the left side.<\/p>\n\n\n\n<p>6\/7 &#8211; 2\/7 _____ 3\/7<\/p>\n\n\n\n<p>4\/7 _____ 3\/7<\/p>\n\n\n\n<p>Compare the fractions. These shapes show the fractions:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview-3.png\" alt=\"\" class=\"wp-image-7132\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview-3.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__5_-removebg-preview-3-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>4\/7 &gt; 3\/7<\/p>\n\n\n\n<p>6\/7 &#8211; 2\/7 &gt; 3\/7<\/p>\n\n\n\n<p>The &gt; sign makes the statement true.<\/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\/81097\/405\/255\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99.png\" alt=\"\" class=\"wp-image-6334\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-99-400x400.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\/81503\/063\/155\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-106.png\" alt=\"\" class=\"wp-image-6335\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-106.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-106-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-106-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-106-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Inequalities with addition and subtraction of like and unlike fractions key notes: 1. Understanding Fractions 2. Inequalities 3. Comparing Fractions with Inequalities 4. Addition and Subtraction of Like Fractions 5. Addition and Subtraction of Unlike Fractions 6. Solving Inequalities with Fractions Learn with an example Which sign makes the statement true? 8\/10 &#8211; 3\/10 _____<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/h-5-inequalities-with-addition-and-subtraction-of-like-and-unlike-fractions\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.5 Inequalities with addition and subtraction of like and unlike 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-137","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/137","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=137"}],"version-history":[{"count":23,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/137\/revisions"}],"predecessor-version":[{"id":14779,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/137\/revisions\/14779"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=137"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}