{"id":218,"date":"2022-04-13T10:21:30","date_gmt":"2022-04-13T10:21:30","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=218"},"modified":"2025-01-30T11:25:40","modified_gmt":"2025-01-30T11:25:40","slug":"k-5-add-and-subtract-rational-expressions","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/k-5-add-and-subtract-rational-expressions\/","title":{"rendered":"K.5 Add and subtract rational expressions"},"content":{"rendered":"\n

Add and subtract rational expressions<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

To add rational expressions with common denominators, add the numerators.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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Simplify. Express your answer as a single fraction in simplest form.<\/strong><\/p>\n\n\n\n

5\/2q4<\/sup>+4\/5 __________<\/p>\n<\/div><\/div>\n\n\n\n

Before you can add, the expressions must have a common denominator.<\/p>\n\n\n\n

The lowest common multiple (LCM) of 2q4<\/sup> and 5 is 10q4<\/sup> . Rewrite each expression with a denominator of 10q4<\/sup> .<\/p>\n\n\n\n

5\/2q4<\/sup>+4\/5<\/p>\n\n\n\n

5\/2q4<\/sup> . 5\/5 + 4\/5 .2q4<\/sup> \/2q4<\/sup> <\/p>\n\n\n\n

25\/10q4<\/sup> + 8q4<\/sup>\/10q4<\/sup> <\/p>\n\n\n\n

Now that the expressions have a common denominator, you can add the numerators.<\/p>\n\n\n\n

8q4<\/sup>+25\/10q4<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

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\n

Simplify. Express your answer as a single fraction in simplest form.<\/strong><\/p>\n\n\n\n

4\/r5<\/sup>-5\/r __________<\/p>\n<\/div><\/div>\n\n\n\n

Before you can subtract, the expressions must have a common denominator.<\/p>\n\n\n\n

The lowest common multiple (LCM) of  r5<\/sup> and r is r5<\/sup> . Rewrite the second expression with a denominator of r5<\/sup>.<\/p>\n\n\n\n

4\/r5<\/sup>-5\/r<\/p>\n\n\n\n

4\/r5<\/sup>-5\/r . r4<\/sup>\/r4<\/sup><\/p>\n\n\n\n

4\/r5<\/sup> – 5r4<\/sup>\/r5<\/sup><\/p>\n\n\n\n

Now that the expressions have a common denominator, you can subtract the numerators.<\/p>\n\n\n\n

-5r4<\/sup>+4\/r5<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

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Simplify. Express your answer as a single fraction in simplest form.<\/strong><\/p>\n\n\n\n

3\/8yz + 5z\/2 __________<\/p>\n<\/div><\/div>\n\n\n\n

Before you can add, the expressions must have a common denominator.<\/p>\n\n\n\n

The lowest common multiple (LCM) of 8yz  and 2 is 8yz   . Rewrite the second expression with a denominator of 8yz<\/p>\n\n\n\n

3\/8yz + 5z\/2<\/p>\n\n\n\n

3\/8yz + 5z\/2 . 4yz\/4yz<\/p>\n\n\n\n

3\/8yz + 20yz2<\/sup>\/8yz<\/p>\n\n\n\n

Now that the expressions have a common denominator, you can add the numerators.<\/p>\n\n\n\n

3 + 20yz2<\/sup>\/8yz<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/figure>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Add and subtract rational expressions Key Notes : To add rational expressions with common denominators, add the numerators. Learn with an example Simplify. Express your answer as a single fraction in simplest form. 5\/2q4+4\/5 __________ Before you can add, the expressions must have a common denominator. The lowest common multiple (LCM) of 2q4 and 5 is 10q4 . Rewrite each expression with a denominatorContinue reading “K.5 Add and subtract rational expressions”<\/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-218","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/218","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=218"}],"version-history":[{"count":13,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/218\/revisions"}],"predecessor-version":[{"id":17486,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/218\/revisions\/17486"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=218"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}