{"id":108,"date":"2022-04-12T09:34:56","date_gmt":"2022-04-12T09:34:56","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=108"},"modified":"2025-04-12T04:59:39","modified_gmt":"2025-04-12T04:59:39","slug":"f-5-lowest-common-denominator","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/f-5-lowest-common-denominator\/","title":{"rendered":"F.5 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<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-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-48b2a95988306483947cc9ff394d6db6\" style=\"color:#000060\">\ud83d\udcd8 What is a Denominator?<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>In a fraction, the <strong>denominator<\/strong> is the bottom number.<\/li>\n\n\n\n<li>It tells us <strong>how many equal parts<\/strong> the whole is divided into.\n<ul class=\"wp-block-list\">\n<li>Example: In 3\/4, <strong>4<\/strong> is the denominator.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-bf6689d4113963de3ed93c80de827501\" style=\"color:#000060\">\ud83d\udcd8 What is the Lowest Common Denominator (LCD)?<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The <strong>Lowest Common Denominator<\/strong> is the <strong>smallest number<\/strong> that is a <strong>common multiple<\/strong> of two or more denominators.<\/li>\n\n\n\n<li>It is used to make the denominators the <strong>same<\/strong> when <strong>adding, subtracting, or comparing<\/strong> fractions.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-03b4e128993ce24c08b7852678b4a1fc\" style=\"color:#000060\">\ud83d\udcd8 Why is LCD Important?<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>add or subtract fractions<\/strong>, the denominators must be the same.<\/li>\n\n\n\n<li>Using the LCD helps keep the numbers <strong>as small as possible<\/strong> for easier calculation.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-62a62717877bd846bec4859630f0b615\" style=\"color:#000060\">\ud83e\uddee How to Find the LCD:<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Step 1: List the multiples of each denominator.<\/h4>\n\n\n\n<h4 class=\"wp-block-heading\">Step 2: Find the <strong>smallest common multiple<\/strong>.<\/h4>\n\n\n\n<h4 class=\"wp-block-heading\">Step 3: Use the LCD to rewrite the fractions.<\/h4>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c463687f2a5483a9df750dc890e16554\" style=\"color:#000060\">\ud83d\udccd Example:<\/h3>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-db17022c595fbe0f4f379db2c83c0672\" style=\"color:#000060\"><strong>Find the LCD of 1\/6 and 1\/8:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiples of 6: 6, 12, 18, 24, <strong>30<\/strong>, 36, &#8230;<\/li>\n\n\n\n<li>Multiples of 8: 8, 16, 24, <strong>32<\/strong>, 40, &#8230;<\/li>\n\n\n\n<li><strong>Common multiple<\/strong>: 24<\/li>\n\n\n\n<li>\u2705 <strong>LCD = 24<\/strong><\/li>\n<\/ul>\n\n\n\n<p>So,<br>1\/6 = 4\/24<br>1\/8 = 3\/24<\/p>\n\n\n\n<p>Now you can easily add:<br><strong>1\/6 + 1\/8 = 4\/24 + 3\/24 = 7\/24<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u270f\ufe0f Tip:<\/h3>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li><strong>LCD<\/strong> is the <strong>LCM<\/strong> (Lowest Common Multiple) of the denominators.<\/li>\n\n\n\n<li>You can also find it using <strong>prime factorization<\/strong> or the <strong>LCM method<\/strong>.<\/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-secondary-background-color has-background\"><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\" style=\"color:#b00012;font-size:20px\">\ud83d\udd25<strong>What is the lowest common denominator of 2\/3 and 5\/6?<\/strong><\/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 factorisation for each number. 3 is a prime number. You do not need to factorise 3.<\/p>\n\n\n\n<p>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 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 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-background\" style=\"background-color:#a4f8d9\"><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\" style=\"color:#b00012;font-size:20px\">\ud83d\udd25<strong>What is the lowest common denominator of 5\/8 and 1\/4?<\/strong><\/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 factorisation 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 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 8 and 4 is 8.<\/p>\n\n\n\n<p class=\"has-large-font-size\">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-background\" style=\"background-color:#e8b8b8\"><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>What is the lowest common denominator of 1\/3 and 1\/12?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<p>The denominators are 3 and 12. Find the lowest common multiple of 3 and 12.<\/p>\n\n\n\n<p>Write the prime factorisation for each number. 3 is a prime number. You do not need to factorise 3.<\/p>\n\n\n\n<p>3<br>12 = 2 \u00d7 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 factorisations above.<\/p>\n\n\n\n<p>The most the factor 2 appears is twice.<\/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 2 \u00d7 3 = 12<br>The lowest common multiple of 3 and 12 is&nbsp;<strong>12<\/strong>.<\/p>\n\n\n\n<p>The lowest common denominator of 1\/3 and 1\/12 is 12.<\/p>\n<\/div><\/div>\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\/90326\/943\/489\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-297.png\" alt=\"\" class=\"wp-image-7514\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-297.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-297-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-297-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-297-400x400.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\/89891\/824\/285\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-307.png\" alt=\"\" class=\"wp-image-7515\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-307.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-307-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-307-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-307-400x400.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: \ud83d\udcd8 What is a Denominator? \ud83d\udcd8 What is the Lowest Common Denominator (LCD)? \ud83d\udcd8 Why is LCD Important? \ud83e\uddee How to Find the LCD: Step 1: List the multiples of each denominator. Step 2: Find the smallest common multiple. Step 3: Use the LCD to rewrite the fractions. \ud83d\udccd Example:<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/f-5-lowest-common-denominator\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.5 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,"footnotes":""},"class_list":["post-108","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=108"}],"version-history":[{"count":22,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/108\/revisions"}],"predecessor-version":[{"id":15969,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/108\/revisions\/15969"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}