{"id":58,"date":"2022-04-12T11:58:59","date_gmt":"2022-04-12T11:58:59","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=58"},"modified":"2025-11-21T06:37:26","modified_gmt":"2025-11-21T06:37:26","slug":"d-3-lowest-common-denominator","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/d-3-lowest-common-denominator\/","title":{"rendered":"D.3 Lowest common denominator"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Lowest common denominator<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/Class-8-D.3-Lowest-common-denominator.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-aae0d72b0df05b1a7d05750bd97517d2\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83e\uddee What is a Denominator?<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">The <strong>denominator<\/strong> is the <strong>bottom number<\/strong> of a fraction.<\/p>\n\n\n\n<p>Example: In 3\/4\u200b, 4 is the denominator.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 What is a Common Denominator?<\/strong><\/p>\n\n\n\n<p>A <strong>common denominator<\/strong> is a number that <strong>two or more fractions share<\/strong> as their denominator.<\/p>\n\n\n\n<p>Example: Fractions 1\/4\u200b and 1\/6\u200b \u2192 common denominator could be <strong>12<\/strong>.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\u2728 Lowest Common Denominator (LCD)<\/strong><\/p>\n\n\n\n<p>The <strong>smallest number<\/strong> that is a <strong>common multiple<\/strong> of the denominators of two or more fractions.<\/p>\n\n\n\n<p>Example: Fractions 2\/3\u200b and 3\/4\u200b \u2192 denominators 3 &amp; 4 \u2192 LCD = 12 \u2705<\/p>\n\n\n\n<p><strong>\ud83d\udd22 How to Find LCD (Step by Step)<\/strong><br><strong>Step 1:<\/strong> List the multiples of each denominator<\/p>\n\n\n\n<p>3: 3, 6, 9, 12, 15\u2026<\/p>\n\n\n\n<p>4: 4, 8, 12, 16\u2026<br><strong>Step 2:<\/strong> Find the <strong>smallest multiple<\/strong> they share<\/p>\n\n\n\n<p>Smallest common multiple = <strong>12<\/strong><br>\u2705 This is the LCD<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\u270f\ufe0f Using LCD to Add or Subtract Fractions<\/strong><\/p>\n\n\n\n<p>Make all fractions have the <strong>same denominator<\/strong> (LCD).<\/p>\n\n\n\n<p>Then, <strong>add or subtract the numerators<\/strong> only.<\/p>\n\n\n\n<p>Example: 2\/3+3\/4 = 8\/12+9\/12 = 17\/12<\/p>\n\n\n\n<p>Multiply denominators if you can\u2019t find LCD quickly (but may not be the <strong>lowest<\/strong>).<\/p>\n\n\n\n<p>Always <strong>simplify the fraction<\/strong> at the end.<\/p>\n\n\n\n<p>Practice with <strong>different numbers<\/strong> to get fast at spotting LCDs.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83c\udfa8 Fun Emoji Example<\/strong><\/p>\n\n\n\n<p>Fractions: 1\/\ud83c\udf4e + 1\/\ud83c\udf4c<\/p>\n\n\n\n<p>\ud83c\udf4e = 2, \ud83c\udf4c = 3 \u2192 LCD = 6<\/p>\n\n\n\n<p>Convert: 1\/2 = 3\/6,1\/3 = 2\/6<\/p>\n\n\n\n<p>Add: 3\/6+2\/6 = 5\/6\ud83c\udf89<\/p>\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-52d67962c82a7537045d00bfdf233ebe\" style=\"background-color:#c0f4c7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-d03089a795643d09605bd4f7669aa0d7\" style=\"color:#b00012\">\u27a1\ufe0f What is the lowest common denominator of 1\/6 and 8\/9 ?<\/p>\n\n\n\n<p>The denominators are 6 and 9. Find the lowest common multiple of 6 and 9.<\/p>\n\n\n\n<p>Write the prime factorisation for each number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 = 2 \u00d7 3<\/li>\n\n\n\n<li>9 = 3 \u00d7 3<\/li>\n<\/ul>\n\n\n\n<p>Repeat each prime factor the most number of times it appears in any of the prime factorisations above.<\/p>\n\n\n\n<p>The most the factor 2 appears is once.<\/p>\n\n\n\n<p>The most the factor 3 appears is twice.<\/p>\n\n\n\n<p>So, multiply:<\/p>\n\n\n\n<p>2 \u00d7 3 \u00d7 3 = 18<br>The lowest common multiple of 6 and 9 is&nbsp;<strong>18<\/strong>.<\/p>\n\n\n\n<p class=\"has-text-color has-normal-font-size\" style=\"color:#0c0a7e\">The lowest common denominator of 1\/6 and 8\/9 is 18.<\/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-b0a20634de4a5107c89099d037e8620b\" style=\"background-color:#aacef7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-6bc9c855b78faa42c7534ffddd54fb1b\" style=\"color:#b00012\">\u27a1\ufe0f What is the lowest common denominator of 2\/5 and 7\/10?<\/p>\n\n\n\n<p>The denominators are 5 and 10. Find the lowest common multiple of 5 and 10.<\/p>\n\n\n\n<p>Write the prime factorisation for each number. 5 is a prime number. You do not need to factorise 5.<\/p>\n\n\n\n<p>5<br>10 = 2 \u00d7 5<\/p>\n\n\n\n<p>Repeat each prime factor the most number of times it appears in any of the prime factorisations above.<\/p>\n\n\n\n<p>The most the factor 2 appears is once.<\/p>\n\n\n\n<p>The most the factor 5 appears is once.<\/p>\n\n\n\n<p>So, multiply:<\/p>\n\n\n\n<p>2 \u00d7 5 = 10<br>The lowest common multiple of 5 and 10 is&nbsp;<strong>10<\/strong>.<\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-normal-font-size\">The lowest common denominator of 2\/5 and 7\/10 is 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-0b3d687399be800325b283531246a4a6\" style=\"background-color:#f6b9e3\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background-background-color has-text-color has-background has-link-color wp-elements-e00e5568258a00afb05b2eab9937332e\" style=\"color:#b00012\">What is the lowest common denominator of 1\/4 and 1\/8?<\/p>\n\n\n\n<p>The denominators are 4 and 8. Find the lowest common multiple of 4 and 8.<\/p>\n\n\n\n<p>Write the prime factorisation for each number.<\/p>\n\n\n\n<p>4 = 2 \u00d7 2<br>8 = 2 \u00d7 2 \u00d7 2<\/p>\n\n\n\n<p>Repeat each prime factor the most number of times it appears in any of the prime factorisations above.<\/p>\n\n\n\n<p>The most the factor 2 appears is three times.<\/p>\n\n\n\n<p>So, multiply:<\/p>\n\n\n\n<p>2 \u00d7 2 \u00d7 2 = 8<\/p>\n\n\n\n<p>The lowest common multiple of 4 and 8 is 8.<\/p>\n\n\n\n<p>The lowest common denominator of 1\/4 and1\/8 is 8.<\/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!\ud83d\udd8a\ufe0f<\/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\/80678\/869\/382\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-270.png\" alt=\"\" class=\"wp-image-9477\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-270.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-270-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-270-150x150.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\/81187\/743\/291\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-277.png\" alt=\"\" class=\"wp-image-9478\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-277.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-277-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-277-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Lowest common denominator Key Notes : \ud83e\uddee What is a Denominator? The denominator is the bottom number of a fraction. Example: In 3\/4\u200b, 4 is the denominator. \ud83d\udd39 What is a Common Denominator? A common denominator is a number that two or more fractions share as their denominator. Example: Fractions 1\/4\u200b and 1\/6\u200b \u2192 common<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/d-3-lowest-common-denominator\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.3 Lowest common denominator&#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-58","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/58","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=58"}],"version-history":[{"count":20,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/58\/revisions"}],"predecessor-version":[{"id":22347,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/58\/revisions\/22347"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=58"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}