{"id":32,"date":"2022-04-13T06:09:36","date_gmt":"2022-04-13T06:09:36","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=32"},"modified":"2025-11-19T07:01:54","modified_gmt":"2025-11-19T07:01:54","slug":"b-4-add-and-subtract-rational-numbers","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/b-4-add-and-subtract-rational-numbers\/","title":{"rendered":"B.4 Add and subtract rational numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong><span style=\"text-decoration: underline;\">Addition of Rational Numbers<\/span><\/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<div class=\"wp-block-group has-normal-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>Understanding Rational Numbers<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Definition:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"634\" height=\"51\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-24.png\" alt=\"\" class=\"wp-image-14629\" style=\"width:634px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-24.png 634w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-24-300x24.png 300w\" sizes=\"auto, (max-width: 634px) 100vw, 634px\" \/><\/figure>\n\n\n\n<p><strong>Examples:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"468\" height=\"74\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-23.png\" alt=\"\" class=\"wp-image-14626\" style=\"width:604px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-23.png 468w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-23-300x47.png 300w\" sizes=\"auto, (max-width: 468px) 100vw, 468px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Addition of Rational Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-normal-font-size\"><strong>Same Denominator:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li>When adding rational numbers with the same denominator, add the numerators and keep the denominator the same.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"216\" height=\"28\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-22.png\" alt=\"\" class=\"wp-image-14622\" style=\"width:355px;height:auto\"\/><\/figure><\/div>\n\n\n<p class=\"has-normal-font-size\"><strong>Different Denominators:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"308\" height=\"137\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-21.png\" alt=\"\" class=\"wp-image-14621\" style=\"width:429px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-21.png 308w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-21-300x133.png 300w\" sizes=\"auto, (max-width: 308px) 100vw, 308px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Addition of Positive and Negative Rational Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Same Sign:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When adding rational numbers with the same sign, add their absolute values and keep the common sign.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"235\" height=\"39\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-20.png\" alt=\"\" class=\"wp-image-14618\" style=\"width:376px;height:auto\"\/><\/figure><\/div>\n\n\n<p><strong>Diffearent Signs:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>When adding rational numbers with different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"320\" height=\"40\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-19.png\" alt=\"\" class=\"wp-image-14617\" style=\"width:416px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-19.png 320w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-19-300x38.png 300w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Simplifying Rational Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>After adding the rational numbers, simplify the result if possible by dividing the numerator and the denominator by their greatest common divisor (GCD).<strong>Example:<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"580\" height=\"151\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-18.png\" alt=\"\" class=\"wp-image-14613\" style=\"width:620px;height:auto\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-18.png 580w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-18-300x78.png 300w\" sizes=\"auto, (max-width: 580px) 100vw, 580px\" \/><\/figure><\/div>\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Practice Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Same Denominator:<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"118\" height=\"69\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-13.png\" alt=\"\" class=\"wp-image-14606\" style=\"width:178px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Different Denominators:<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"100\" height=\"62\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-14.png\" alt=\"\" class=\"wp-image-14608\" style=\"width:131px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Mixed Numbers:<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"128\" height=\"67\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-15.png\" alt=\"\" class=\"wp-image-14609\" style=\"width:188px;height:auto\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Positive and Negative Rational Numbers:<\/strong><\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"124\" height=\"68\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2024\/08\/image-16.png\" alt=\"\" class=\"wp-image-14610\" style=\"width:200px;height:auto\"\/><\/figure><\/div><\/div><\/div>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#d4ebfc\"><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\" style=\"color:#b00012\"><strong>\ud83d\udd2e Add.  2\/5 + 3\/5 = ____<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Add:<\/p>\n\n\n\n<p>2\/5 + 3\/5 =<\/p>\n\n\n\n<p>= 1<\/p>\n\n\n\n<p>Since the numbers being added are positive, the result must also be positive.<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>2\/5 + 3\/5 = 1<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f7cdf6\"><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\" style=\"color:#b00012\"><strong>\ud83d\udd2e Add. 2\/5 + 2\/5<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Add:<\/p>\n\n\n\n<p>2\/5 + 2\/5<\/p>\n\n\n\n<p>= 4\/5<\/p>\n\n\n\n<p>Since the numbers being added are positive, the result must also be positive.<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>2\/5 + 2\/5 = 4\/5<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#cce0f8\"><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\" style=\"color:#b00012\"><strong>\ud83d\udd2e Subtract.  4\/5 &#8211; 1\/5 =<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>Subtract:<\/p>\n\n\n\n<p>4\/5 &#8211; 1\/5 <\/p>\n\n\n\n<p>= 3\/5<\/p>\n\n\n\n<p>Since you are subtracting a smaller number from a larger number, the result must be positive.<\/p>\n\n\n\n<p>So:<\/p>\n\n\n\n<p>4\/5 &#8211; 1\/5 = 3\/5<\/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\/76092\/531\/934\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22.png\" alt=\"\" class=\"wp-image-7333\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-22-150x150.png 150w\" 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\/76150\/647\/342\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23.png\" alt=\"\" class=\"wp-image-7334\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-23-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Addition of Rational Numbers key notes : Understanding Rational Numbers Definition: Examples: Addition of Rational Numbers Same Denominator: Different Denominators: Addition of Positive and Negative Rational Numbers Same Sign: Diffearent Signs: Simplifying Rational Numbers Practice Problems Same Denominator: Learn with an example \ud83d\udd2e Add. 2\/5 + 3\/5 = ____ Add: 2\/5 + 3\/5 = =<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/b-4-add-and-subtract-rational-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;B.4 Add and subtract rational 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-32","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/32","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":33,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/32\/revisions"}],"predecessor-version":[{"id":18243,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/32\/revisions\/18243"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}