{"id":161,"date":"2022-04-12T06:14:27","date_gmt":"2022-04-12T06:14:27","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=161"},"modified":"2025-11-19T10:17:32","modified_gmt":"2025-11-19T10:17:32","slug":"f-13-fractions-of-a-number-word-problems","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/f-13-fractions-of-a-number-word-problems\/","title":{"rendered":"F.13 Fractions of a number: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Fractions of a number: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f368c466013fe32d67d16a6c933bb574\" style=\"color:#74008b\"><strong>Key points : <\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-large-font-size\">\ud83d\udfe1 <strong>What is a Fraction of a Number?<\/strong><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>fraction of a number<\/strong> means taking <strong>a part<\/strong> of the whole.<\/li>\n\n\n\n<li>Example:<br>\ud83d\udc49 <strong>\u00bd of 20 = 10<\/strong><br>\ud83d\udc49 <strong>\u2153 of 15 = 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\udfe0 <strong>How to Find a Fraction of a Number?<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\u2728 <strong>Step-by-step method<\/strong><\/h3>\n\n\n\n<p>1\ufe0f\u20e3 <strong>Divide<\/strong> the number by the denominator.<br>2\ufe0f\u20e3 <strong>Multiply<\/strong> by the numerator.<br>\ud83c\udfaf Formula:<br><strong>Fraction of a number = (Number \u00f7 Denominator) \u00d7 Numerator<\/strong><\/p>\n\n\n\n<p>Example:<br>\ud83d\udc49 <strong>\u2154 of 18 = (18 \u00f7 3) \u00d7 2 = 6 \u00d7 2 = 12<\/strong><\/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\">\ud83d\udd35 <strong>Use Fractions in Real-Life Word Problems<\/strong><\/h2>\n\n\n\n<p>Fractions help us in real-life situations like:<br>\ud83c\udf6b Sharing chocolates<br>\ud83d\udcda Dividing pages in a book<br>\ud83c\udf55 Eating parts of a pizza<br>\ud83c\udfcf Playing games (scores, distances)<\/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\">\ud83d\udfe3 <strong>Important Words in Fraction Word Problems<\/strong><\/h2>\n\n\n\n<p>Look for these clue words:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u201cof\u201d<\/strong> \u2192 multiply<\/li>\n\n\n\n<li><strong>\u201cpart of\u201d<\/strong> \u2192 find fraction<\/li>\n\n\n\n<li><strong>\u201cshared equally\u201d<\/strong> \u2192 division<\/li>\n\n\n\n<li><strong>\u201cportion\u201d<\/strong> \u2192 fraction<\/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\udfe2 <strong>Example Word Problems<\/strong><\/h2>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\uddc1 <strong>Example 1:<\/strong><\/h3>\n\n\n\n<p>Riya ate <strong>\u00bd of 12 cupcakes<\/strong>.<br>\ud83d\udc49 12 \u00f7 2 = 6<br>\u2714\ufe0f Riya ate <strong>6 cupcakes<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udcda <strong>Example 2:<\/strong><\/h3>\n\n\n\n<p>A book has <strong>60 pages<\/strong>. Meera read <strong>\u2153<\/strong> of it.<br>\ud83d\udc49 60 \u00f7 3 = 20<br>\u2714\ufe0f Meera read <strong>20 pages<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83e\udd64 <strong>Example 3:<\/strong><\/h3>\n\n\n\n<p>A jug has <strong>24 litres<\/strong> of juice. Ravi drank <strong>\u00bc<\/strong> of it.<br>\ud83d\udc49 24 \u00f7 4 = 6<br>\u2714\ufe0f Ravi drank <strong>6 litres<\/strong>.<\/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\">\ud83d\udd34 <strong>Tips to Solve Easily<\/strong><\/h2>\n\n\n\n<p>\u2728 Always <strong>divide first<\/strong>, then <strong>multiply<\/strong>.<br>\u2728 Read the problem carefully\u2014look for the word <strong>\u201cof\u201d<\/strong>.<br>\u2728 Draw pictures or bar models if needed.<br>\u2728 Check your answer\u2014does it make sense?<\/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\udf1f <strong>Common Mistakes to Avoid<\/strong><\/h2>\n\n\n\n<p>\u26a0\ufe0f Multiplying instead of dividing first.<br>\u26a0\ufe0f Forgetting numerator or denominator.<br>\u26a0\ufe0f Not reading the question completely.<\/p>\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-large-font-size\" style=\"background-color:#faf4ab\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\ude00Six-ninths of the 18 trees in the orchard are cherry trees. <\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>How many cherry trees are in the orchard?<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Find 6\/9 of 18.<br>Divide 18 into 9 equal groups. Find how many are in each group.<\/p>\n\n\n\n<p>18 \u00f7 9 = 2<\/p>\n\n\n\n<p>There are 2 in each group.<\/p>\n\n\n\n<p>Find how many are in 6 groups.<\/p>\n\n\n\n<p>6 \u00d7 2 = 12<\/p>\n\n\n\n<p>There are 12 in 6 groups.<\/p>\n\n\n\n<p>12 is 6\/9 of 18.<br>12 cherry trees are in the orchard.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-large-font-size\" style=\"background-color:#cff9f5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\ude00 Three-elevenths of the 11 students in the choir have brown hair. <\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>How many students in the choir have brown hair?<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Find 3\/11 of 11.<br>Divide 11 into 11 equal groups. Find how many are in each group.<\/p>\n\n\n\n<p>11 \u00f7 11 = 1<\/p>\n\n\n\n<p>There is 1 in each group.<\/p>\n\n\n\n<p>Find how many are in 3 groups.<\/p>\n\n\n\n<p>3 \u00d7 1 = 3<\/p>\n\n\n\n<p>There are 3 in 3 groups.<\/p>\n\n\n\n<p>3 is 3\/11 of 11.<br>3 students in the choir have brown hair.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-large-font-size\" style=\"background-color:#fecdfa\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>\ud83d\ude00Of the 10 students on the playground, one-half want to play kickball. <\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>How many students want to play kickball?<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Find 1\/2 of 10.<\/p>\n\n\n\n<p>Divide 10 into 2 equal groups. Find how many are in each group.<\/p>\n\n\n\n<p>10 \u00f7 2 = 5<br>There are 5 in each group.<\/p>\n\n\n\n<p>5 is 1\/2 of 10<\/p>\n\n\n\n<p>5 students want to play kickball.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>let&#8217;s try some problems!<\/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\/102434\/741\/117\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image.png\" alt=\"\" class=\"wp-image-10226\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-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\/80495\/867\/299\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-1.png\" alt=\"\" class=\"wp-image-10227\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-1.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-1-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/image-1-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Fractions of a number: word problems Key points : \ud83d\udfe1 What is a Fraction of a Number? \ud83d\udfe0 How to Find a Fraction of a Number? \u2728 Step-by-step method 1\ufe0f\u20e3 Divide the number by the denominator.2\ufe0f\u20e3 Multiply by the numerator.\ud83c\udfaf Formula:Fraction of a number = (Number \u00f7 Denominator) \u00d7 Numerator Example:\ud83d\udc49 \u2154 of 18 =<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/f-13-fractions-of-a-number-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.13 Fractions of a number: word problems&#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-161","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/161","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=161"}],"version-history":[{"count":18,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/161\/revisions"}],"predecessor-version":[{"id":16351,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/161\/revisions\/16351"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}