{"id":105,"date":"2022-04-08T04:52:58","date_gmt":"2022-04-08T04:52:58","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=105"},"modified":"2024-11-14T04:39:48","modified_gmt":"2024-11-14T04:39:48","slug":"g-1-fractions-and-mixed-numbers","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/g-1-fractions-and-mixed-numbers\/","title":{"rendered":"G.1 Fractions and mixed numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color has-link-color has-huge-font-size wp-elements-635089e6ccabb8033fda4012303bf08c\" style=\"color:#00056d;text-transform:uppercase\"><strong>Fractions and mixed numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8844a52ef1ee1cc1c8133e8d8f09a585\" style=\"color:#74008b;text-transform:capitalize\"><strong>key notes:<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-00a1189ce173fed7f9358a402681cfb2\" style=\"color:#000060\">1. <strong>Understanding Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A <strong>fraction<\/strong> represents a part of a whole and is written in the form a\/b\u200b, where:\n<ul class=\"wp-block-list\">\n<li><strong>Numerator<\/strong> (top number) shows how many parts are being considered.<\/li>\n\n\n\n<li><strong>Denominator<\/strong> (bottom number) shows the total number of equal parts.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Types of Fractions<\/strong>:\n<ul class=\"wp-block-list\">\n<li><strong>Proper Fraction<\/strong>: Numerator is less than the denominator (e.g., 3\/4\u200b).<\/li>\n\n\n\n<li><strong>Improper Fraction<\/strong>: Numerator is equal to or greater than the denominator (e.g., 5\/3\u200b).<\/li>\n\n\n\n<li><strong>Equivalent Fractions<\/strong>: Fractions that have different numerators and denominators but represent the same value (e.g., 1\/2 and 2\/4\u200b).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c91d27448c32bd1c79a0d6cc81c41cd4\" style=\"color:#000060\">2. <strong>Mixed Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A <strong>mixed number<\/strong> has a whole number and a proper fraction combined (e.g., 2 (1\/3)\u200b).<\/li>\n\n\n\n<li><strong>Converting Improper Fractions to Mixed Numbers<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Divide the numerator by the denominator.<\/li>\n\n\n\n<li>Write the quotient as the whole number and the remainder as the numerator of the fraction.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Converting Mixed Numbers to Improper Fractions<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Multiply the whole number by the denominator.<\/li>\n\n\n\n<li>Add the numerator to this product and place it over the original denominator.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-8286550cdbc19010dc9f8b3edd9f12da\" style=\"color:#000060\">3. <strong>Adding and Subtracting Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Same Denominators<\/strong>: Add or subtract the numerators and keep the denominator.<\/li>\n\n\n\n<li><strong>Different Denominators<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Find a <strong>common denominator<\/strong> by finding the least common multiple (LCM).<\/li>\n\n\n\n<li>Convert each fraction to an equivalent fraction with this common denominator.<\/li>\n\n\n\n<li>Add or subtract the numerators and simplify if needed.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-b1e6a291945ad44edad369b33a57b0cf\" style=\"color:#000060\">4. <strong>Multiplying Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Multiply the numerators and the denominators directly.<\/li>\n\n\n\n<li>Simplify the result if possible by dividing both numerator and denominator by their greatest common factor (GCF).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-0fbc2293d65b9a9345a7c5f8dbde7cb9\" style=\"color:#000060\">5. <strong>Dividing Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To divide fractions, multiply by the <strong>reciprocal<\/strong> (flip the second fraction).<\/li>\n\n\n\n<li>Simplify the result if needed.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-6e9eeeb5682a1e276a70028ab263ad95\" style=\"color:#000060\">6. <strong>Comparing and Ordering Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Use a common denominator to compare fractions.<\/li>\n\n\n\n<li>For ordering, convert fractions to have the same denominator and arrange from smallest to largest (or vice versa).<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-9a3b0bbd4ee4186b20645800647b0d50\" style=\"color:#000060\">7. <strong>Simplifying Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A fraction is <strong>simplified<\/strong> when the numerator and denominator have no common factors other than 1.<\/li>\n\n\n\n<li>Divide both the numerator and the denominator by their GCF to simplify.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-56af54a85273ccaa8e2f7b7950106ba0\" style=\"color:#000060\">8. <strong>Applications of Fractions and Mixed Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Fractions and mixed numbers are used in daily life for tasks like cooking (measuring ingredients), dividing items, and managing portions.<\/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-16b27501859e66ec773f923d8d0991c7\" style=\"background-color:#d6f8f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-link-color wp-elements-21ec8c0d595a9a183718163ffcc17cd5\"><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-3cb15a525bc6393b77f17bc7f666748b\" style=\"color:#b00012\">What fraction of the shapes are triangles?<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-20.png\" alt=\"\" class=\"wp-image-7078\" style=\"width:348px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-20.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-20-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-20-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-20-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>Use a forward slash ( \/ ) to separate the numerator and denominator.<\/p>\n<\/div><\/div>\n\n\n\n<p>Count the number of shapes. There are 11 shapes.<\/p>\n\n\n\n<p>Count the number of triangles. There are 9 triangles.<\/p>\n\n\n\n<p>9 out of 11 shapes are triangles. Write 9 out of 11 as a fraction:<\/p>\n\n\n\n<p>9\/11<\/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-1c8e409f8c6b9777f8d9bd89025e20c1\" style=\"background-color:#f0a8a8\"><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-dac4c6eaa2596863b1e09576be77e357\" style=\"color:#b00012\">What fraction does the number line show?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design-removebg-preview-5.png\" alt=\"\" class=\"wp-image-7079\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design-removebg-preview-5.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design-removebg-preview-5-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>Use a forward slash ( \/ ) to separate the numerator and denominator.<\/p>\n<\/div><\/div>\n\n\n\n<p>Count the number of segments between 0 and 1. There are 7 segments.<\/p>\n\n\n\n<p>Now count the number of segments between 0 and the dot. There are 4 segments.<\/p>\n\n\n\n<p>The number line shows 4\/7 .<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b1b3f1\"><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-3cb15a525bc6393b77f17bc7f666748b\" style=\"color:#b00012\">What fraction of the shapes are triangles?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4.png\" alt=\"\" class=\"wp-image-7080\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4.png 670w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled_design__1_-removebg-preview-4-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Count the number of shapes. There are 11 shapes.<\/p>\n\n\n\n<p>Count the number of triangles. There are 4 triangles.<\/p>\n\n\n\n<p>4 out of 11 shapes are triangles. Write 4 out of 11 as a fraction:<\/p>\n\n\n\n<p>4\/11<\/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-13.png\" alt=\"\" class=\"wp-image-8331\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-13.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-13-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-13-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/09\/Pink_Modern_Minimalist_Microphone_Talk_Podcast_Cover-removebg-preview-13-400x400.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\/1695705444490hrjb4y8e-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\">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\/36055\/935\/405\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-92.png\" alt=\"\" class=\"wp-image-6304\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-92.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-92-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-92-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-92-400x400.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\/81281\/217\/206\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-97.png\" alt=\"\" class=\"wp-image-6305\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-97.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-97-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-97-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-97-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Fractions and mixed numbers key notes: 1. Understanding Fractions 2. Mixed Numbers 3. Adding and Subtracting Fractions 4. Multiplying Fractions 5. Dividing Fractions 6. Comparing and Ordering Fractions 7. Simplifying Fractions 8. Applications of Fractions and Mixed Numbers Learn with an example What fraction of the shapes are triangles? Use a forward slash ( \/<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/g-1-fractions-and-mixed-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.1 Fractions and mixed numbers&#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-105","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/105","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=105"}],"version-history":[{"count":19,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/105\/revisions"}],"predecessor-version":[{"id":14586,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/105\/revisions\/14586"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}