{"id":192,"date":"2022-04-12T09:50:56","date_gmt":"2022-04-12T09:50:56","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=192"},"modified":"2025-12-19T05:07:04","modified_gmt":"2025-12-19T05:07:04","slug":"j-1-understanding-ratios","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/j-1-understanding-ratios\/","title":{"rendered":"J.1 Understanding ratios"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Understanding ratios<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-19f3e90c87bbc8a4106d5e7b6d862514\" style=\"color:#74008b\">Key notes :<\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">\ud83d\udd22 <strong>What is a Ratio?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>ratio<\/strong> compares <strong>two quantities<\/strong> of the same kind.<\/li>\n\n\n\n<li>It shows <strong>how much of one thing there is compared to another<\/strong>.<\/li>\n\n\n\n<li>Example: If there are 2 apples \ud83c\udf4e and 3 oranges \ud83c\udf4a, the ratio is <strong>2 : 3<\/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\">\u270d\ufe0f <strong>Ways to Write a Ratio<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Using <strong>colon (:)<\/strong> \u2192 2 : 3<\/li>\n\n\n\n<li>Using <strong>words<\/strong> \u2192 2 to 3<\/li>\n\n\n\n<li>Using <strong>fraction<\/strong> \u2192 2\/3<\/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\udf92 <strong>Parts of a Ratio<\/strong><\/h3>\n\n\n\n<p>A ratio has <strong>two parts<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>First term<\/strong> \u2192 number of first quantity<\/li>\n\n\n\n<li><strong>Second term<\/strong> \u2192 number of second quantity<\/li>\n<\/ul>\n\n\n\n<p>Example: In <strong>4 : 5<\/strong>,<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4 = first term<\/li>\n\n\n\n<li>5 = second term<\/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>Simplest Form of a Ratio<\/strong><\/h3>\n\n\n\n<p>Ratios should be written in the <strong>simplest form<\/strong>.<\/p>\n\n\n\n<p>Divide both terms by their <strong>Highest Common Factor (HCF)<\/strong>.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>6 : 12 \u2192 divide by 6 \u2192 <strong>1 : 2<\/strong> \u2705<\/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>Equivalent Ratios<\/strong><\/h3>\n\n\n\n<p>Ratios that represent the <strong>same comparison<\/strong> are called <strong>equivalent ratios<\/strong>.<\/p>\n\n\n\n<p>Multiply or divide both terms by the <strong>same number<\/strong>.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2 : 3 = 4 : 6 = 6 : 9 \u2714\ufe0f<\/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\">\u2696\ufe0f <strong>Comparing Ratios<\/strong><\/h3>\n\n\n\n<p>Convert ratios into <strong>fractions<\/strong> to compare them.<\/p>\n\n\n\n<p>The ratio with the <strong>greater fraction<\/strong> is larger.<\/p>\n\n\n\n<p>Example:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3 : 4 \u2192 3\/4<\/li>\n\n\n\n<li>2 : 3 \u2192 2\/3<\/li>\n\n\n\n<li>Since 3\/4 > 2\/3, <strong>3 : 4 is greater<\/strong> \ud83d\udcc8<\/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\udde9 <strong>Ratios in Daily Life<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Mixing juice \ud83e\uddc3 (1 glass juice : 3 glasses water)<\/li>\n\n\n\n<li>Classroom boys \ud83d\udc66 and girls \ud83d\udc67<\/li>\n\n\n\n<li>Speed, recipes \ud83c\udf70, maps \ud83d\uddfa\ufe0f and models<\/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\udeab <strong>Important Rules<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Quantities in a ratio must be in the <strong>same units<\/strong> \ud83d\udccf<\/li>\n\n\n\n<li>Ratios do <strong>not have units<\/strong> after simplifying<\/li>\n\n\n\n<li>Always write ratios in <strong>simplest form<\/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\">\ud83c\udf1f <strong>Quick Example<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If a bag has <strong>8 red balls \ud83d\udd34 and 4 blue balls \ud83d\udd35<\/strong><\/li>\n\n\n\n<li>Ratio of red to blue = <strong>8 : 4 = 2 : 1<\/strong> \u2705<\/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-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background\" style=\"background-color:#f5f2d4\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f<strong> What is the ratio of triangles to total shapes?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"300\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__700___300px_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4303\" style=\"width:340px;height:145px\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__700___300px_-removebg-preview-1.png 700w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__700___300px_-removebg-preview-1-300x129.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure><\/div>\n\n\n<p>2 \/ ___<\/p>\n<\/div><\/div>\n\n\n\n<p>Count the number of triangles. There are 2 triangles.<\/p>\n\n\n\n<p>Count the total number of shapes. There are 3 shapes.<\/p>\n\n\n\n<p>Write the ratio of triangles to total shapes:<\/p>\n\n\n\n<p>2 \/ 3<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#cae9f3\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>What is the ratio of rectangles to total shapes?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-700-\u00d7-300px-700-\u00d7-200px.png\" alt=\"\" class=\"wp-image-4304\" style=\"width:420px;height:120px\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-700-\u00d7-300px-700-\u00d7-200px.png 700w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-700-\u00d7-300px-700-\u00d7-200px-300x86.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure><\/div>\n\n\n<p>1 : ___<\/p>\n<\/div><\/div>\n\n\n\n<p>Count the number of rectangles. There is 1 rectangle.<\/p>\n\n\n\n<p>Count the total number of shapes. There are 6 shapes.<\/p>\n\n\n\n<p>Write the ratio of rectangles to total shapes:<\/p>\n\n\n\n<p>1 : 6<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f1f5cb\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u25b6\ufe0f <strong>What is the ratio of squares to total shapes?<\/strong><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-700-\u00d7-300px-700-\u00d7-200px-1.png\" alt=\"\" class=\"wp-image-4305\" style=\"width:434px;height:124px\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-700-\u00d7-300px-700-\u00d7-200px-1.png 700w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-700-\u00d7-300px-700-\u00d7-200px-1-300x86.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>3\/2<\/li>\n\n\n\n<li>2\/5<\/li>\n\n\n\n<li>3\/5<\/li>\n\n\n\n<li>5\/3<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Count the number of squares. There are 2 squares.<\/p>\n\n\n\n<p>Count the total number of shapes. There are 5 shapes.<\/p>\n\n\n\n<p>Write the ratio of squares to total shapes:<\/p>\n\n\n\n<p>2\/5<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice! \ud83d\udd8a\ufe0f<\/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\/85890\/833\/401\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-302.png\" alt=\"\" class=\"wp-image-7530\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-302.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-302-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-302-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-302-400x400.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\/36058\/138\/299\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-312.png\" alt=\"\" class=\"wp-image-7532\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-312.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-312-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-312-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-312-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Understanding ratios Key notes : \ud83d\udd22 What is a Ratio? \u270d\ufe0f Ways to Write a Ratio \ud83c\udf92 Parts of a Ratio A ratio has two parts: Example: In 4 : 5, \ud83e\uddee Simplest Form of a Ratio Ratios should be written in the simplest form. Divide both terms by their Highest Common Factor (HCF). Example:<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/j-1-understanding-ratios\/\">Continue reading <span class=\"screen-reader-text\">&#8220;J.1 Understanding ratios&#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-192","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.1.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"Understanding ratios Key notes : \ud83d\udd22 What is a Ratio? A ratio compares two quantities of the same kind. It shows how much of one thing there is compared to another. 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