{"id":143,"date":"2022-04-12T06:11:47","date_gmt":"2022-04-12T06:11:47","guid":{"rendered":"http:\/\/5thclass.deltapublications.in\/?page_id=143"},"modified":"2025-11-19T07:10:41","modified_gmt":"2025-11-19T07:10:41","slug":"f-4-fractions-of-a-whole-modelling-word-problems","status":"publish","type":"page","link":"https:\/\/5thclass.deltapublications.in\/index.php\/f-4-fractions-of-a-whole-modelling-word-problems\/","title":{"rendered":"F.4 Fractions of a whole: modelling 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 whole: modeling word problems<\/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<p class=\"has-primary-color has-text-color has-large-font-size\"><strong>\ud83d\udd39 What is a Fraction?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A fraction shows <strong>part of a whole<\/strong>.<\/li>\n\n\n\n<li>Example: \ud83c\udf4e 1\/4 of a cake = 1 part out of 4 equal parts.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Numerator &amp; Denominator<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Numerator (top number)<\/strong> = how many parts we have.<\/li>\n\n\n\n<li><strong>Denominator (bottom number)<\/strong> = total equal parts in the whole.<\/li>\n\n\n\n<li>Example: 3\/5 \u2192 numerator = 3, denominator = 5 \ud83d\udd90\ufe0f<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Identifying the Whole<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First, <strong>find the whole<\/strong> in the problem.<\/li>\n\n\n\n<li>Example: \u201cOut of 12 chocolates, 1\/3 are dark chocolate.\u201d \u2192 Whole = 12 \ud83c\udf6b<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Finding the Fraction of a Whole<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Multiply the whole by the fraction<\/strong>: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>Fraction&nbsp;of&nbsp;a&nbsp;whole = Whole \u00d7 Numerator\/Denominator<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Example: 1\/3 of 12 \u2192 12 \u00d7 1\/3 = 4 \ud83c\udf6b<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Using Visual Models<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Draw <strong>bars, circles, or grids<\/strong> to <strong>see the parts<\/strong>.<\/li>\n\n\n\n<li>Example: Divide a pizza \ud83c\udf55 into 8 equal slices. 3\/8 = 3 slices.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Word Problems Steps<\/strong> \ud83d\udcdd<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Read carefully<\/strong> \ud83d\udc40<\/li>\n\n\n\n<li><strong>Identify the whole<\/strong> \ud83c\udfe0<\/li>\n\n\n\n<li><strong>Identify the fraction<\/strong> \ud83d\udd22<\/li>\n\n\n\n<li><strong>Multiply<\/strong> to find the part \u2716\ufe0f<\/li>\n\n\n\n<li><strong>Draw a model<\/strong> (optional but helpful) \ud83d\udd8d\ufe0f<\/li>\n\n\n\n<li><strong>Write the answer with units<\/strong> \u2705<\/li>\n<\/ol>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Mixed Numbers &amp; Improper Fractions<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Some problems have <strong>more than one whole<\/strong>.<\/li>\n\n\n\n<li>Example: 1 1\/2 pizzas \u2192 1 whole + 1\/2 of another pizza \ud83c\udf55\ud83c\udf55<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Practice Tip<\/strong> \ud83d\udca1<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use <strong>real-life examples<\/strong>: cakes \ud83c\udf82, chocolates \ud83c\udf6b, pencils \u270f\ufe0f, water bottles \ud83e\udd64.<\/li>\n\n\n\n<li>Draw models and <strong>color the parts<\/strong> for better understanding \ud83c\udfa8<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>\ud83d\udd39 Quick Tip<\/strong> \u26a1<\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-normal-font-size\">Always <strong>check your answer<\/strong>: Does the fraction make sense for the whole? \ud83e\udd14<\/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:#f7f0b4\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p>Elizabeth&nbsp;is selling jars of homemade jam at the Good Earth Farmers Market. Before any shoppers arrive, she uses masking tape to divide her table into&nbsp;2&nbsp;equal sections. She fills&nbsp;1&nbsp;section of the table with jars of blueberry&nbsp;jam.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Which&nbsp;model represents the fraction of the table that Elizabeth fills with jars of blueberry&nbsp;jam?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"250\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-9.png\" alt=\"\" class=\"wp-image-2926\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-9.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/Untitled-design-9-300x150.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>The&nbsp;table is the&nbsp;whole.<\/p>\n\n\n\n<p>Elizabeth&nbsp;divides the table into&nbsp;2&nbsp;equal sections. The model should have&nbsp;<strong>2<\/strong>&nbsp;equal&nbsp;parts.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"120\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/3__2_-removebg-preview.png\" alt=\"\" class=\"wp-image-2927\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/3__2_-removebg-preview.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/3__2_-removebg-preview-300x72.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>She&nbsp;fills&nbsp;1&nbsp;section of the table with jars of blueberry&nbsp;jam.<\/p>\n\n\n\n<p>So,&nbsp;shade&nbsp;<strong>1<\/strong>&nbsp;part of the&nbsp;model.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"120\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/3__3_-removebg-preview.png\" alt=\"\" class=\"wp-image-2928\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/3__3_-removebg-preview.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2022\/11\/3__3_-removebg-preview-300x72.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>This&nbsp;model shows&nbsp;1\/2.&nbsp;It represents the fraction of the table that Elizabeth fills with jars of blueberry&nbsp;jam.<\/p>\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:#d3f7f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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-constrained wp-block-group-is-layout-constrained\">\n<p>Eliza&nbsp;keeps frogs and turtles as pets. Eliza&#8217;s pets live in a long tank. The tank is divided into&nbsp;3&nbsp;equal parts. Turtles live in&nbsp;1&nbsp;part.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Which&nbsp;model represents the fraction of the tank that turtles live&nbsp;in?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-2.png\" alt=\"\" class=\"wp-image-7097\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-2.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-1-2-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;tank is the&nbsp;whole.<\/p>\n\n\n\n<p>The&nbsp;tank is divided into&nbsp;3&nbsp;equal parts. The model should have&nbsp;<strong>3<\/strong>&nbsp;equal&nbsp;parts.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__8_-removebg-preview.png\" alt=\"\" class=\"wp-image-10115\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__8_-removebg-preview.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__8_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<p>turtles live in 1 part .<\/p>\n\n\n\n<p>so, shade 1 part of the model .<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__9_-removebg-preview.png\" alt=\"\" class=\"wp-image-10117\" style=\"aspect-ratio:6.7;width:489px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__9_-removebg-preview.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__9_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>This&nbsp;model shows&nbsp;1\/3 . It represents the fraction of the tank that turtles live in.<\/p>\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:#d2d2f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\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-constrained wp-block-group-is-layout-constrained\">\n<p>Elsie&nbsp;is using a long wooden board to fix a broken fence. She saws the board into&nbsp;4&nbsp;equal pieces. Elsie uses&nbsp;1&nbsp;piece to fix the front of the&nbsp;fence.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Which&nbsp;model represents the fraction of the board that Elsie uses to fix the front of the&nbsp;fence?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-3-1.png\" alt=\"\" class=\"wp-image-7099\" style=\"aspect-ratio:3.35;width:513px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-3-1.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/06\/Untitled-design-3-1-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><figcaption class=\"wp-element-caption\"><br><\/figcaption><\/figure>\n<\/div><\/div>\n\n\n\n<p>The&nbsp;board is the&nbsp;whole.<\/p>\n\n\n\n<p>Elsie&nbsp;saws the board into&nbsp;4&nbsp;equal pieces. The model should have&nbsp;<strong>4<\/strong>&nbsp;equal&nbsp;parts.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__11_-removebg-preview.png\" alt=\"\" class=\"wp-image-10119\" style=\"aspect-ratio:6.7;width:469px;height:auto\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__11_-removebg-preview.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__11_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>elsie uses 1 plece to fix the front of the fence .<\/p>\n\n\n\n<p>so, shade 1 part of the model .<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"100\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__10_-removebg-preview.png\" alt=\"\" class=\"wp-image-10118\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__10_-removebg-preview.png 670w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2024\/01\/Untitled_design__10_-removebg-preview-300x45.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>This&nbsp;model shows&nbsp;1\/4 . It represents the fraction of the board that Elsie uses to fix the front of the fence.<\/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!<\/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\/102419\/398\/570\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-211.png\" alt=\"\" class=\"wp-image-6306\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-211.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-211-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-2-211-150x150.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\/102420\/283\/298\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-223.png\" alt=\"\" class=\"wp-image-6308\" srcset=\"https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-223.png 500w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-223-300x300.png 300w, https:\/\/5thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-1-223-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Fractions of a whole: modeling word problems key notes : \ud83d\udd39 What is a Fraction? \ud83d\udd39 Numerator &amp; Denominator \ud83d\udd39 Identifying the Whole \ud83d\udd39 Finding the Fraction of a Whole Fraction&nbsp;of&nbsp;a&nbsp;whole = Whole \u00d7 Numerator\/Denominator \ud83d\udd39 Using Visual Models \ud83d\udd39 Word Problems Steps \ud83d\udcdd \ud83d\udd39 Mixed Numbers &amp; Improper Fractions \ud83d\udd39 Practice Tip \ud83d\udca1 \ud83d\udd39<a class=\"more-link\" href=\"https:\/\/5thclass.deltapublications.in\/index.php\/f-4-fractions-of-a-whole-modelling-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;F.4 Fractions of a whole: modelling 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-143","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/143","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=143"}],"version-history":[{"count":24,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/143\/revisions"}],"predecessor-version":[{"id":16337,"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/143\/revisions\/16337"}],"wp:attachment":[{"href":"https:\/\/5thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}