{"id":111,"date":"2022-04-08T04:54:40","date_gmt":"2022-04-08T04:54:40","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=111"},"modified":"2024-11-14T05:16:42","modified_gmt":"2024-11-14T05:16:42","slug":"g-4-write-fractions-in-lowest-terms","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/g-4-write-fractions-in-lowest-terms\/","title":{"rendered":"G.4 Write fractions in lowest terms"},"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>Write fractions in the lowest terms<\/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-1e41dbfa9de6b11d7356ca6a680dd240\" style=\"color:#000060\"><strong>Definition of Lowest Terms:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A fraction is in <strong>lowest terms<\/strong> (or simplest form) when the numerator and denominator have no common factors other than 1. In other words, the greatest common divisor (GCD) of the numerator and denominator is 1.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-f7b030469a90f25b88034b2c0e2a68be\" style=\"color:#000060\"><strong>Steps to Simplify a Fraction:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Step 1:<\/strong> Find the greatest common divisor (GCD) or greatest common factor (GCF) of the numerator and denominator.<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> Divide both the numerator and the denominator by the GCD\/GCF.<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> The resulting fraction is the simplest form.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-13c6d802f63bb62504d6c365a7ec5160\" style=\"color:#000060\"><strong>Example 1:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Fraction: <strong>4\/8<\/strong><\/li>\n\n\n\n<li>GCD of 4 and 8 is 4.<\/li>\n\n\n\n<li>Divide both by 4:<br><strong>4 \u00f7 4 = 1<\/strong>, <strong>8 \u00f7 4 = 2<\/strong><\/li>\n\n\n\n<li>Simplified fraction: <strong>1\/2<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-1717e98a0213daca87fe980e423f3e70\" style=\"color:#000060\"><strong>Example 2:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Fraction: <strong>15\/25<\/strong><\/li>\n\n\n\n<li>GCD of 15 and 25 is 5.<\/li>\n\n\n\n<li>Divide both by 5:<br><strong>15 \u00f7 5 = 3<\/strong>, <strong>25 \u00f7 5 = 5<\/strong><\/li>\n\n\n\n<li>Simplified fraction: <strong>3\/5<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-e63cea24733df22e5f2971c376bbba72\" style=\"color:#000060\"><strong>Tip for Finding the GCD:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>List the factors of the numerator and denominator.<\/li>\n\n\n\n<li>Choose the largest factor common to both.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-ec71c76dcd0872cb52ce1e4ca4c035e4\" style=\"color:#000060\"><strong>Prime Factorization Method:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Break down both the numerator and denominator into prime factors.<\/li>\n\n\n\n<li>Cancel out common prime factors to simplify the fraction.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-90f49e07313ae81adcb373afceab22e3\" style=\"color:#000060\"><strong>Fraction Example Using Prime Factorization:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Fraction: <strong>18\/24<\/strong><\/li>\n\n\n\n<li>Prime factors of 18: 2 \u00d7 3 \u00d7 3<\/li>\n\n\n\n<li>Prime factors of 24: 2 \u00d7 2 \u00d7 2 \u00d7 3<\/li>\n\n\n\n<li>Cancel out the common factors of 2 and 3:<br><strong>18 \u00f7 6 = 3<\/strong>, <strong>24 \u00f7 6 = 4<\/strong><\/li>\n\n\n\n<li>Simplified fraction: <strong>3\/4<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-106b603976aac9cf56eb34cfd4198317\" style=\"color:#000060\"><strong>Importance of Simplifying Fractions:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Simplifying fractions makes calculations easier, especially in addition, subtraction, multiplication, and division.<\/li>\n\n\n\n<li>It helps in comparing fractions and understanding their values more clearly.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-5bca05d0796158c35e2790f72e2bf1a2\" style=\"color:#000060\"><strong>Practice Example:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Fraction: <strong>28\/42<\/strong><\/li>\n\n\n\n<li>Find the GCD of 28 and 42 (GCD = 14).<\/li>\n\n\n\n<li>Divide both by 14:<br><strong>28 \u00f7 14 = 2<\/strong>, <strong>42 \u00f7 14 = 3<\/strong><\/li>\n\n\n\n<li>Simplified fraction: <strong>2\/3<\/strong><\/li>\n<\/ul>\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-c9568a67e72ce915699f267c5f2e6245\" style=\"background-color:#c1f5c8\"><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-005620e80ad0bd2c975351929d1bcf2e\" style=\"color:#b00012;font-size:29px\">Write 5\/8 in the lowest terms.<\/p>\n\n\n\n<p>Find the largest number that divides both the numerator and the denominator. The largest number that divides both 5 and 8 is 1. This fraction is already written in lowest terms.<\/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-e6f6314aa6dee56a6e2a6dc8d58b6977\" style=\"background-color:#efd1f9\"><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-611f0397fff307a782d271f8e3e560a2\" style=\"color:#b00012;font-size:29px;text-transform:lowercase\">Write 4\/6 in the lowest terms.<\/p>\n\n\n\n<p>Find the largest number that divides both the numerator and the denominator. The largest number that divides both 4 and 6 is 2. Divide the numerator and denominator by 2.<\/p>\n\n\n\n<p>4 \u00f7 2 = 2<\/p>\n\n\n\n<p>6 \u00f7 2 = 3<\/p>\n\n\n\n<p>4\/6 written in lowest terms is<strong> 2\/3<\/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-69f4a57009397bc4a8587840f06a8c3e\" style=\"background-color:#dff3c8\"><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 has-huge-font-size wp-elements-7fdb0ae928ff912cde9bf77e9d72f69b\" style=\"color:#b00012\">Write 3\/6 in the lowest terms.<\/p>\n\n\n\n<p>Find the largest number that divides both the numerator and the denominator. The largest number that divides both 3 and 6 is 3. Divide the numerator and denominator by 3.<\/p>\n\n\n\n<p>3 \u00f7 3 = 1<\/p>\n\n\n\n<p>6 \u00f7 3 = 2<\/p>\n\n\n\n<p>3\/6 written in lowest terms is<strong> 1\/2<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns are-vertically-aligned-center has-background is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\" style=\"background-color:#ffef76\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-14.png\" alt=\"\" class=\"wp-image-8334\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-14.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-14-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-14-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-14-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-audio\"><audio controls src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/1695705702305u06u15uv-voicemaker.in-speech.mp3\"><\/audio><\/figure>\n<\/div>\n<\/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<p class=\"has-white-color has-text-color has-large-font-size\">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\/80643\/199\/253\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90.png\" alt=\"\" class=\"wp-image-6297\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-400x400.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\/81348\/675\/742\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94.png\" alt=\"\" class=\"wp-image-6298\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-94-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write fractions in the lowest terms key notes: Definition of Lowest Terms: Steps to Simplify a Fraction: Example 1: Example 2: Tip for Finding the GCD: Prime Factorization Method: Fraction Example Using Prime Factorization: Importance of Simplifying Fractions: Practice Example: Learn with an example Write 5\/8 in the lowest terms. Find the largest number that<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/g-4-write-fractions-in-lowest-terms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.4 Write fractions in lowest terms&#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-111","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/111","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=111"}],"version-history":[{"count":16,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/111\/revisions"}],"predecessor-version":[{"id":14593,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/111\/revisions\/14593"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=111"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}