{"id":162,"date":"2022-04-12T09:44:26","date_gmt":"2022-04-12T09:44:26","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=162"},"modified":"2025-12-03T11:41:55","modified_gmt":"2025-12-03T11:41:55","slug":"h-2-convert-between-decimals-and-fractions-or-mixed-numbers","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/h-2-convert-between-decimals-and-fractions-or-mixed-numbers\/","title":{"rendered":"H.2 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 or mixed numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83c\udfaf <strong>What is a Decimal?<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>decimal<\/strong> is a way of writing numbers using a <strong>decimal point<\/strong>.<\/li>\n\n\n\n<li>Example: <strong>0.5, 1.25, 0.75<\/strong><br>\u2728 Decimals tell us parts of a whole (like fractions!).<\/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\">\ud83e\uddee <strong>Decimals to Fractions<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udc49 <strong>Step-by-step<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Write the decimal as a fraction with <strong>1<\/strong> as the denominator.\n<ul class=\"wp-block-list\">\n<li>Example: <strong>0.4 = 0.4\/1<\/strong><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Multiply top &amp; bottom to remove the decimal.\n<ul class=\"wp-block-list\">\n<li><strong>0.4\/1 = 4\/10<\/strong><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Simplify<\/strong> the fraction.\n<ul class=\"wp-block-list\">\n<li><strong>4\/10 = 2\/5 \u2714\ufe0f<\/strong><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\ud83c\udf89 Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.25 = 25\/100 = 1\/4<\/strong><\/li>\n\n\n\n<li><strong>0.6 = 6\/10 = 3\/5<\/strong><\/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\udcdd <strong>Fractions to Decimals<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udc49 <strong>Do division! (Numerator \u00f7 Denominator)<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>1\/4 = 1 \u00f7 4 = 0.25<\/strong><\/li>\n\n\n\n<li><strong>3\/5 = 3 \u00f7 5 = 0.6<\/strong><\/li>\n\n\n\n<li><strong>7\/8 = 7 \u00f7 8 = 0.875<\/strong><\/li>\n<\/ul>\n\n\n\n<p>\u2728 Fractions with denominators like <strong>10, 100, 1000<\/strong> are easiest to convert.<\/p>\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\">\ud83c\udf70 <strong>Mixed Numbers to Decimals<\/strong><\/h2>\n\n\n\n<p>A <strong>mixed number<\/strong> has a whole number + a fraction.<br>Example: <strong>2 1\/4<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Steps:<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Convert the fraction to a decimal \u2192 <strong>1\/4 = 0.25<\/strong><\/li>\n\n\n\n<li>Add to whole number \u2192 <strong>2 + 0.25 = 2.25<\/strong><\/li>\n<\/ol>\n\n\n\n<p>\ud83c\udf89 Examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>3 1\/2 = 3 + 0.5 = 3.5<\/strong><\/li>\n\n\n\n<li><strong>5 3\/4 = 5 + 0.75 = 5.75<\/strong><\/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\udd04 <strong>Decimals to Mixed Numbers<\/strong><\/h2>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Convert the decimal to a fraction.<\/li>\n\n\n\n<li>Simplify.<\/li>\n\n\n\n<li>Separate into <strong>whole number + fraction<\/strong> if needed.<\/li>\n<\/ol>\n\n\n\n<p class=\"has-normal-font-size\">\ud83c\udf89 Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>2.6 = 26\/10 = 13\/5<\/strong><\/li>\n\n\n\n<li>Now write as mixed number: <strong>2 3\/5<\/strong><\/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\udca1 <strong>Helpful Tips<\/strong><\/h2>\n\n\n\n<p>\u2728 Terminating decimals stop \u2192 easy to convert!<br>\u2728 Repeating decimals turn into fractions using division or patterns.<br>\u2728 Always <strong>simplify fractions<\/strong> to the lowest terms.<\/p>\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\">\ud83e\udde0 <strong>Practice Examples<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.75 \u2192 3\/4<\/strong><\/li>\n\n\n\n<li><strong>4.125 \u2192 4 1\/8<\/strong><\/li>\n\n\n\n<li><strong>5\/2 \u2192 2.5<\/strong><\/li>\n\n\n\n<li><strong>1 2\/5 \u2192 1.4<\/strong><\/li>\n<\/ul>\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<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\" style=\"background-color:#fed8fe\"><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\">\ud83c\udf88<strong> Write&nbsp;0.4&nbsp;as a fraction._________<\/strong><\/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<ul class=\"wp-block-list\">\n<li>Write the decimal as a fraction with 10 as the denominator. Reduce the fraction to simplest form.<\/li>\n<\/ul>\n\n\n\n<p>0.4 = 4\/10<\/p>\n\n\n\n<p>= 4 \u00f7 2 \/ 10 \u00f7 2<\/p>\n\n\n\n<p>= 2\/5<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#ddfdcb\"><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\">\ud83c\udf88 <strong>Write&nbsp;0.5&nbsp;as a fraction. ______<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the decimal as a fraction with 10 as the denominator. Reduce the fraction to simplest form.<\/li>\n<\/ul>\n\n\n\n<p>0.5 = 5\/10<\/p>\n\n\n\n<p>= 5 \u00f7 5 \/ 10 \u00f7 5<\/p>\n\n\n\n<p>= 1\/2<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#f7dee4\"><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\">\ud83c\udf88<strong>Write 3\/4 as a decimal number.________<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write an equivalent fraction with 100 as the denominator. Then write the decimal number.<\/li>\n<\/ul>\n\n\n\n<p>3\/4 = 3 x 25 \/ 4 x 25<\/p>\n\n\n\n<p>=75 \/ 100<\/p>\n\n\n\n<p>= 0.75<\/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<\/div><\/div>\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\/81204\/033\/496\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-267.png\" alt=\"\" class=\"wp-image-7414\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-267.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-267-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-267-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-267-400x400.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\/81267\/430\/187\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-275.png\" alt=\"\" class=\"wp-image-7415\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-275.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-275-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-275-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-275-400x400.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 Key notes: \ud83c\udfaf What is a Decimal? \ud83e\uddee Decimals to Fractions \ud83d\udc49 Step-by-step \ud83c\udf89 Example: \ud83d\udcdd Fractions to Decimals \ud83d\udc49 Do division! (Numerator \u00f7 Denominator) \u2728 Fractions with denominators like 10, 100, 1000 are easiest to convert. \ud83c\udf70 Mixed Numbers to Decimals A mixed number has a<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/h-2-convert-between-decimals-and-fractions-or-mixed-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;H.2 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,"footnotes":""},"class_list":["post-162","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/162","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=162"}],"version-history":[{"count":17,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/162\/revisions"}],"predecessor-version":[{"id":17614,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/162\/revisions\/17614"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=162"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}