{"id":115,"date":"2022-04-08T04:55:36","date_gmt":"2022-04-08T04:55:36","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=115"},"modified":"2024-11-14T05:24:19","modified_gmt":"2024-11-14T05:24:19","slug":"g-6-lowest-common-denominator","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/g-6-lowest-common-denominator\/","title":{"rendered":"G.6 Lowest common denominator"},"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>Lowest common denominator<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-b4425855ecd4ef89165b060e9e443317\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes:<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-71b912c3ef77a1c8a3c095451df2e296\" style=\"color:#000060\"><strong>What is a Denominator?<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>In a fraction, the denominator is the number below the fraction line that shows how many equal parts the whole is divided into. For example, in the fraction 3\/4, the denominator is 4.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-c9db1c14db6093a50006b05fa957660b\" style=\"color:#000060\"><strong>What is a Lowest Common Denominator (LCD)?<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>The Lowest Common Denominator is the smallest number that can be used as the denominator for two or more fractions, allowing them to have the same denominator.<\/li>\n\n\n\n<li>It&#8217;s the least common multiple (LCM) of the denominators.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-b18a14e4c27aeedb67ce6026465da0c2\" style=\"color:#000060\"><strong>Steps to Find the LCD:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1:<\/strong> List the multiples of each denominator.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Find the smallest multiple that is common in both lists.<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> That smallest common multiple is the LCD.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example 1:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>For the fractions 1\/4 and 1\/6, find the LCD.\n<ul class=\"wp-block-list\">\n<li>Multiples of 4: 4, 8, 12, 16, 20, 24&#8230;<\/li>\n\n\n\n<li>Multiples of 6: 6, 12, 18, 24&#8230;<\/li>\n\n\n\n<li>The smallest common multiple is 12, so the LCD is 12.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example 2:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>For the fractions 2\/3 and 5\/12, find the LCD.\n<ul class=\"wp-block-list\">\n<li>Multiples of 3: 3, 6, 9, 12, 15, 18&#8230;<\/li>\n\n\n\n<li>Multiples of 12: 12, 24, 36&#8230;<\/li>\n\n\n\n<li>The smallest common multiple is 12, so the LCD is 12.<\/li>\n<\/ul>\n<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-bfb6b39c7d5ea055a11f5d12cc6234ce\" style=\"background-color:#cfebf9\"><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-5715be6e5fb4020885f39439996ace64\" style=\"color:#b00012;font-size:24px\">What is the lowest common denominator of 2\/3 and 5\/6?<\/p>\n\n\n\n<p>The denominators are 3 and 6. Find the lowest common multiple of 3 and 6.<\/p>\n\n\n\n<p>Write the prime factorization for each number. 3 is a prime number. You do not need to factorize 3.<br>6 = 2 \u00d7 3<\/p>\n\n\n\n<p>Repeat each prime factor the most number of times it appears in any of the prime factorizations 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 once.<\/p>\n\n\n\n<p>So, multiply:<\/p>\n\n\n\n<p>2 \u00d7 3 = 6<br>The lowest common multiple of 3 and 6 is&nbsp;<strong>6<\/strong>.<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1664536351085_332\" class=\"wp-block-table\"><table><tbody><tr><td><strong>The lowest common denominator of 2\/3 and 5\/6 is 6.<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\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-1b6e87abedfdd3ca194a2e1c87253e2a\" style=\"background-color:#ccffec\"><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-436c2c94218d66ba0538a18428987c2e\" style=\"color:#b00012;font-size:24px\">What is the lowest common denominator of 5\/8 and 1\/4?<\/p>\n\n\n\n<p>The denominators are 8 and 4. Find the lowest common multiple of 8 and 4.<\/p>\n\n\n\n<p>Write the prime factorization for each number.<\/p>\n\n\n\n<p>8 = 2 \u00d7 2 \u00d7 2<br>4 = 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 factorizations 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 8 and 4 is 8.<\/p>\n\n\n\n<p style=\"font-size:27px\">The lowest common denominator of 5\/8 and 1\/4 is <strong>8<\/strong>.<\/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-0016ad2ed045f3e40ed3c12110da28b3\" style=\"background-color:#bae2f1\"><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-2f0f4b31e22c71cab4782683bceb886f\" style=\"color:#b00012\">What is the lowest common denominator of 1\/2 and 5\/8?<\/p>\n<\/div><\/div>\n\n\n\n<p>The denominators are 2 and 8. Find the lowest common multiple of 2 and 8.<\/p>\n\n\n\n<p>Write the prime factorization for each number. 2 is a prime number. You do not need to factorize 2.<\/p>\n\n\n\n<p>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 factorizations 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<br>The lowest common multiple of 2 and 8 is&nbsp;<strong>8<\/strong>.<\/p>\n\n\n\n<p>The lowest common denominator of 1\/2 and 5\/8 is<strong> 8<\/strong><\/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!<\/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\/797\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-89.png\" alt=\"\" class=\"wp-image-6292\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-89.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-89-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-89-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-89-400x400.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\/81353\/419\/148\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92.png\" alt=\"\" class=\"wp-image-6293\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-92-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Lowest common denominator key notes: What is a Denominator? What is a Lowest Common Denominator (LCD)? Steps to Find the LCD: Example 1: Example 2: Learn with an example What is the lowest common denominator of 2\/3 and 5\/6? The denominators are 3 and 6. Find the lowest common multiple of 3 and 6. Write<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/g-6-lowest-common-denominator\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.6 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-115","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/115","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=115"}],"version-history":[{"count":17,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/115\/revisions"}],"predecessor-version":[{"id":14599,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/115\/revisions\/14599"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=115"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}