{"id":123,"date":"2022-04-08T04:57:10","date_gmt":"2022-04-08T04:57:10","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=123"},"modified":"2024-11-14T06:11:52","modified_gmt":"2024-11-14T06:11:52","slug":"g-10-convert-between-decimals-and-fractions-or-mixed-numbers","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/g-10-convert-between-decimals-and-fractions-or-mixed-numbers\/","title":{"rendered":"G.10 Convert between decimals and fractions or mixed numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d\"><strong>Convert between decimals and fractions or mixed numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-32aea3fce366395969d0c49123ec9586\" style=\"color:#74008b;text-transform:capitalize\"><strong>keynotes<\/strong>:<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-237e2e43774c493da736b121a6cc9c5e\" style=\"color:#000060\">1. <strong>Converting Decimals to Fractions<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To convert a decimal to a fraction:\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Write the decimal number without the decimal point as the numerator (the top part of the fraction).<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: The denominator (bottom part) is based on how many decimal places the number has:\n<ul class=\"wp-block-list\">\n<li>For one decimal place, the denominator is 10.<\/li>\n\n\n\n<li>For two decimal places, the denominator is 100.<\/li>\n\n\n\n<li>For three decimal places, the denominator is 1000, and so on.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: Simplify the fraction if necessary.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Convert 0.75 to a fraction:\n<ul class=\"wp-block-list\">\n<li>0.75 = 75\/100.<\/li>\n\n\n\n<li>Simplify: 75 \u00f7 25 = 3 and 100 \u00f7 25 = 4. So, 0.75 = 3\/4.<\/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-7936b6bb31e7f189c8e45fcb538edce2\" style=\"color:#000060\">2. <strong>Converting Fractions to Decimals<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To convert a fraction to a decimal, divide the numerator by the denominator using long division or a calculator.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Convert 3\/4 to a decimal:\n<ul class=\"wp-block-list\">\n<li>3 \u00f7 4 = 0.75, so 3\/4 = 0.75.<\/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-15da0afeb2a79a38cfeb8438ebbdba16\" style=\"color:#000060\">3. <strong>Converting Mixed Numbers to Decimals<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To convert a mixed number (a whole number and a fraction) to a decimal:\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Convert the fraction part of the mixed number to a decimal.<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Add the whole number to the decimal result.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Convert 2 1\/2 to a decimal:\n<ul class=\"wp-block-list\">\n<li>1\/2 = 0.5.<\/li>\n\n\n\n<li>Add 2 (the whole number): 2 + 0.5 = 2.5.<\/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-c0d8bc328b2d4e390510acef1de9d146\" style=\"color:#000060\">4. <strong>Converting Decimals to Mixed Numbers<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>To convert a decimal to a mixed number:\n<ul class=\"wp-block-list\">\n<li><strong>Step 1<\/strong>: Separate the whole number part from the decimal part.<\/li>\n\n\n\n<li><strong>Step 2<\/strong>: Convert the decimal part to a fraction.<\/li>\n\n\n\n<li><strong>Step 3<\/strong>: Combine the whole number and the fraction.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Example<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Convert 3.75 to a mixed number:\n<ul class=\"wp-block-list\">\n<li>The whole number is 3.<\/li>\n\n\n\n<li>0.75 = 75\/100, which simplifies to 3\/4.<\/li>\n\n\n\n<li>So, 3.75 = 3 3\/4.<\/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-46fe59b1d839599d2f9196dbb03c13c2\" style=\"background-color:#aafbdd\"><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-large-font-size wp-elements-bdf93dc4a9fdda1d48eba7ab39ab2c0d\" style=\"color:#b00012\">Write 2 2\/5 as a decimal number.<\/p>\n\n\n\n<p>Write an equivalent mixed number with 10 as the denominator. Then write the decimal number.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__16_-removebg-preview.png\" alt=\"\" class=\"wp-image-2673\" style=\"width:324px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__16_-removebg-preview.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__16_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__16_-removebg-preview-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__16_-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/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-d9e8ba9b4816cbc39023a78602443068\" style=\"background-color:#90a2ee\"><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-large-font-size wp-elements-991a4fa14398489c8c83fb437f8d2258\" style=\"color:#b00012\">Write 1\/2 as a decimal number.<\/p>\n\n\n\n<p>Write an equivalent fraction with 10 as the denominator. Then write the decimal number.<\/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\/2022\/10\/Untitled_design__17_-removebg-preview.png\" alt=\"\" class=\"wp-image-2677\" style=\"width:286px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__17_-removebg-preview.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__17_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__17_-removebg-preview-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__17_-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/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-e72ea74698dedaf01f19f34152a00eda\" style=\"background-color:#dfa8e0\"><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-large-font-size wp-elements-35e86c1b1d025cae2ad0dec5ce144de6\" style=\"color:#b00012\">Write&nbsp;0.5&nbsp;as a fraction.<\/p>\n\n\n\n<p>Write the decimal as a fraction with 10 as the denominator. Reduce the fraction to the simplest form.<\/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\/2022\/10\/Untitled_design__18_-removebg-preview.png\" alt=\"\" class=\"wp-image-2680\" style=\"width:294px;height:auto\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__18_-removebg-preview.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__18_-removebg-preview-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__18_-removebg-preview-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2022\/10\/Untitled_design__18_-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/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\/80679\/966\/922\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-94.png\" alt=\"\" class=\"wp-image-6315\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-94.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-94-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-94-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-94-400x400.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\/858\/397\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-100.png\" alt=\"\" class=\"wp-image-6316\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-100.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-100-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-100-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-100-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Convert between decimals and fractions or mixed numbers keynotes: 1. Converting Decimals to Fractions Example: 2. Converting Fractions to Decimals Example: 3. Converting Mixed Numbers to Decimals Example: 4. Converting Decimals to Mixed Numbers Example: Learn with an example Write 2 2\/5 as a decimal number. Write an equivalent mixed number with 10 as the<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/g-10-convert-between-decimals-and-fractions-or-mixed-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;G.10 Convert between decimals and fractions or 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-123","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/123","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=123"}],"version-history":[{"count":15,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/123\/revisions"}],"predecessor-version":[{"id":14615,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/123\/revisions\/14615"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=123"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}