{"id":62,"date":"2022-04-12T11:59:50","date_gmt":"2022-04-12T11:59:50","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=62"},"modified":"2025-11-21T06:46:18","modified_gmt":"2025-11-21T06:46:18","slug":"d-5-convert-between-decimals-and-fractions-or-mixed-numbers","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/d-5-convert-between-decimals-and-fractions-or-mixed-numbers\/","title":{"rendered":"D.5 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;text-transform:uppercase\"><strong>Convert between decimals and fractions<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-aae0d72b0df05b1a7d05750bd97517d2\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Convert Decimals to Fractions<\/strong> \u2705<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Write the decimal as a fraction with <strong>1 in the denominator<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 0.75 \u2192 0.75\/1<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2:<\/strong> Multiply numerator and denominator to remove the decimal.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.75\/1 \u00d7 100\/100 = 75\/100<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3:<\/strong> Simplify the fraction by dividing numerator and denominator by their <strong>GCD<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>75 \u00f7 25 \/ 100 \u00f7 25 = 3\/4 \u2728<\/li>\n<\/ul>\n\n\n\n<p><strong>Tip:<\/strong> Repeat decimals \u2192 use <strong>fraction trick<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.333\u2026 = 1\/3 \ud83d\udd04<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Convert Fractions to Decimals<\/strong> \ud83d\udca1<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Divide numerator by denominator.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 7\/8 \u2192 7 \u00f7 8 = 0.875 \ud83e\uddee<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2:<\/strong> If it\u2019s a repeating decimal, show <strong>bar notation<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1\/3 = 0.333\u2026 = 0.\\overline{3} \ud83d\udd01<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Convert Decimals to Mixed Numbers<\/strong> \ud83d\udd04<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Separate the <strong>whole number<\/strong> from the decimal.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 2.75 \u2192 2 + 0.75<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2:<\/strong> Convert the decimal part to a <strong>fraction<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>0.75 \u2192 75\/100 \u2192 3\/4<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 3:<\/strong> Combine to make a <strong>mixed number<\/strong>.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 + 3\/4 = 2 \u00be \ud83c\udfaf<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Convert Mixed Numbers to Decimals<\/strong> \ud83d\udcab<\/h2>\n\n\n\n<p><strong>Step 1:<\/strong> Convert the fraction part to decimal.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 \u00be \u2192 3 \u00f7 4 = 0.75<\/li>\n<\/ul>\n\n\n\n<p><strong>Step 2:<\/strong> Add the whole number.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 + 0.75 = 2.75 \u2705<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Tips &amp; Tricks<\/strong> \ud83d\udcdd<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Shortcut:<\/strong> Denominators like 2, 4, 5, 8, 10 \u2192 easy decimals!<\/li>\n\n\n\n<li><strong>Check:<\/strong> Multiply fraction \u00d7 denominator = numerator? \u2714\ufe0f<\/li>\n\n\n\n<li><strong>Use a calculator<\/strong> for tricky repeating decimals \ud83d\udd22<\/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-b4964888817479316cf0038cf14d5613\" style=\"background-color:#f6b8b8\"><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-28996b5b8a098efffd1ee98257df615f\" style=\"color:#b00012\">Write&nbsp;1\/100 &nbsp;as a decimal number.<\/p>\n<\/div><\/div>\n\n\n\n<p>Write the fraction as a decimal number with 2 decimal places.<\/p>\n\n\n\n<p>1\/100 = 0.01<\/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-44410114c89070f86509d4ba624b711a\" style=\"background-color:#d4c8fa\"><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-2805b1863cf451f7c076259bdc4ed17d\" style=\"color:#b00012\">Write -1\/2 &nbsp;as a decimal number.<\/p>\n<\/div><\/div>\n\n\n\n<p>Start with 1\/2,<\/p>\n\n\n\n<p>Write an equivalent fraction with 10 as the denominator. Then write the decimal number.<\/p>\n\n\n\n<p>1\/2 = 1 x 5 \/ 2 x 5<\/p>\n\n\n\n<p>= 5\/10<\/p>\n\n\n\n<p>= 0.5<\/p>\n\n\n\n<p>Now write a negative sign on each number:<\/p>\n\n\n\n<p>-1\/2 = -0 . 5<\/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-04626c6c58eaa7fe2b90d965b0c90869\" style=\"background-color:#fac1fd\"><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-6a7b4156c1874cc44b62691c555c26ef\" style=\"color:#b00012\">Write&nbsp;11\/20 &nbsp;as a decimal number.<\/p>\n<\/div><\/div>\n\n\n\n<p>Write an equivalent fraction with 100 as the denominator. Then write the decimal number.<\/p>\n\n\n\n<p>11\/20 = 11 x 5 \/ 20 x 5<\/p>\n\n\n\n<p>= 55\/100<\/p>\n\n\n\n<p>= 0.55<\/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!\ud83d\udd8a\ufe0f<\/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\/475\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-268.png\" alt=\"\" class=\"wp-image-9471\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-268.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-268-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-268-150x150.png 150w\" 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\/81207\/271\/295\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-275.png\" alt=\"\" class=\"wp-image-9472\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-275.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-275-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-275-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Convert between decimals and fractions Key Notes : \ud83d\udd39 Convert Decimals to Fractions \u2705 Step 1: Write the decimal as a fraction with 1 in the denominator. Step 2: Multiply numerator and denominator to remove the decimal. Step 3: Simplify the fraction by dividing numerator and denominator by their GCD. Tip: Repeat decimals \u2192 use<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/d-5-convert-between-decimals-and-fractions-or-mixed-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;D.5 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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-62","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/62","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=62"}],"version-history":[{"count":20,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/62\/revisions"}],"predecessor-version":[{"id":22356,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/62\/revisions\/22356"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=62"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}