{"id":133,"date":"2022-04-12T06:10:06","date_gmt":"2022-04-12T06:10:06","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=133"},"modified":"2025-11-04T10:46:28","modified_gmt":"2025-11-04T10:46:28","slug":"e-12-convert-decimals-to-fractions","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/e-12-convert-decimals-to-fractions\/","title":{"rendered":"E.12 Convert decimals to fractions"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Convert decimals to fractions<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">key notes :<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd39 <strong>Decimal = A Part of a Whole<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A decimal shows <strong>parts of 1 whole<\/strong> \ud83d\udcaf<br>Example: <strong>0.5<\/strong> means 5 parts out of 10.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\uddee <strong>Say the Decimal Name<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Read the decimal using its <strong>place value<\/strong> \ud83c\udfaf<br>Example:<br><strong>0.4<\/strong> \u2192 \u201cfour tenths\u201d \u2192 <strong>4\/10<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udccd <strong>Place Value Helps!<\/strong><\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Decimal<\/th><th>Place Value<\/th><th>Fraction<\/th><\/tr><\/thead><tbody><tr><td>0.1<\/td><td>Tenths<\/td><td>1\/10<\/td><\/tr><tr><td>0.01<\/td><td>Hundredths<\/td><td>1\/100<\/td><\/tr><tr><td>0.001<\/td><td>Thousandths<\/td><td>1\/1000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Examples:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>0.7 = 7\/10<\/strong><\/li>\n\n\n\n<li><strong>0.35 = 35\/100<\/strong><\/li>\n\n\n\n<li><strong>0.256 = 256\/1000<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u270f\ufe0f <strong>Remove the Decimal Point<\/strong><\/h3>\n\n\n\n<p>Steps to convert:<br>1\ufe0f\u20e3 Write the digits as a fraction<br>2\ufe0f\u20e3 Denominator = 10, 100, 1000\u2026 depending on decimal places<br>3\ufe0f\u20e3 <strong>Simplify if needed<\/strong><\/p>\n\n\n\n<p>Example:<br><strong>0.6<\/strong> \u2192 6\/10 \u2192 <strong>3\/5<\/strong> \u2705<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd3b <strong>Simplify the Fraction<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Divide numerator and denominator by the <strong>GCF (Greatest Common Factor)<\/strong> \u2702\ufe0f<br>Example:<br><strong>0.25 = 25\/100 = 1\/4<\/strong> \ud83c\udf55<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\udde0 <strong>Whole Numbers with Decimals<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mixed form \u2192 Write the decimal part as a fraction<br>Example:<br><strong>2.5 = 2 5\/10 = 2 1\/2<\/strong> \ud83d\ude0a<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udf08 <strong>Quick Trick<\/strong><\/h3>\n\n\n\n<p>Count decimal places \ud83d\udc47<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 digit \u2192 denominator <strong>10<\/strong><\/li>\n\n\n\n<li>2 digits \u2192 denominator <strong>100<\/strong><\/li>\n\n\n\n<li>3 digits \u2192 denominator <strong>1000<\/strong><\/li>\n<\/ul>\n\n\n\n<p>Example:<br><strong>0.034 \u2192 34\/1000 \u2192 17\/500<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udccc <strong>Remember<\/strong><\/h3>\n\n\n\n<p>\u2714 Fractions and decimals <strong>show the same value<\/strong><br>\u2714 Always <strong>simplify<\/strong> the fraction for the final answer<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83c\udf1f <strong>Examples for Practice<\/strong><\/h3>\n\n\n\n<p>Convert to fractions:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>0.8 = ?<\/li>\n\n\n\n<li>0.09 = ?<\/li>\n\n\n\n<li>1.2 = ?<\/li>\n<\/ol>\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-background has-large-font-size\" style=\"background-color:#d3f9b8\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>\u2708\ufe0f Write&nbsp;0.91&nbsp;as a fraction._________<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Write the decimal as a fraction with 100 as the denominator.<\/li>\n\n\n\n<li class=\"has-large-font-size\">0.91 =91\/100<\/li>\n\n\n\n<li>91\/100 is written in simplest form.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#b1ddf2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>\u2708\ufe0f Write&nbsp;0.7&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.<\/li>\n\n\n\n<li>0.7 =7\/10<\/li>\n\n\n\n<li>7\/10 is written in simplest form.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f4b4e2\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>\u2708\ufe0f Write&nbsp;0.3&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.<\/li>\n\n\n\n<li>0.3 =3\/10<\/li>\n\n\n\n<li>3\/10 is written in simplest form.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-large-font-size\" id=\"yui_3_18_1_1_1667057474494_1079\" style=\"color:#b00012\">Let&#8217;s practice!<\/h3>\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\/37488\/155\/385\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-209.png\" alt=\"\" class=\"wp-image-6298\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-209.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-209-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-209-150x150.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\/79969\/949\/317\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-221.png\" alt=\"\" class=\"wp-image-6300\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-221.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-221-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-221-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Convert decimals to fractions key notes : \ud83d\udd39 Decimal = A Part of a Whole \ud83e\uddee Say the Decimal Name \ud83d\udccd Place Value Helps! Decimal Place Value Fraction 0.1 Tenths 1\/10 0.01 Hundredths 1\/100 0.001 Thousandths 1\/1000 Examples: \u270f\ufe0f Remove the Decimal Point Steps to convert:1\ufe0f\u20e3 Write the digits as a fraction2\ufe0f\u20e3 Denominator = 10,<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/e-12-convert-decimals-to-fractions\/\">Continue reading <span class=\"screen-reader-text\">&#8220;E.12 Convert decimals to fractions&#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-133","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/133","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=133"}],"version-history":[{"count":18,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/133\/revisions"}],"predecessor-version":[{"id":16261,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/133\/revisions\/16261"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}