{"id":205,"date":"2022-04-08T05:16:23","date_gmt":"2022-04-08T05:16:23","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=205"},"modified":"2025-02-10T09:29:09","modified_gmt":"2025-02-10T09:29:09","slug":"m-3-identify-equivalent-ratios","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/m-3-identify-equivalent-ratios\/","title":{"rendered":"M.3 Identify equivalent ratios"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Identify equivalent ratios<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-aae0d72b0df05b1a7d05750bd97517d2\" style=\"color:#74008b\"><strong>Key Notes :<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-c440e1b7f9b3e6db26932d467b5a5ae8\" style=\"color:#000060\"><strong>1. What is a Ratio?<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A ratio is a comparison of two quantities.<\/li>\n\n\n\n<li>It is written in three ways:\n<ul class=\"wp-block-list\">\n<li>Using a colon (e.g., 2:3)<\/li>\n\n\n\n<li>As a fraction (e.g., 2\/3)<\/li>\n\n\n\n<li>In words (e.g., &#8220;2 to 3&#8221;)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-556e75b732b2c4ae40136a3fe05a0f24\" style=\"color:#000060\"><strong>2. What are Equivalent Ratios?<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Equivalent ratios are ratios that represent the same relationship between two numbers.<\/li>\n\n\n\n<li>They are similar to equivalent fractions.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-6f8b703884c03da4c9a4da347739955a\" style=\"color:#000060\"><strong>3. How to Find Equivalent Ratios<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>By Multiplication:<\/strong> Multiply both terms of the ratio by the same number.\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 2:3 \u2192 Multiply by 2 \u2192 4:6<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>By Division:<\/strong> Divide both terms of the ratio by the same number.\n<ul class=\"wp-block-list\">\n<li><strong>Example<\/strong>: 6:9 \u2192 Divide by 3 \u2192 2:3<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-2e51778d98038a9138ee8a56ede3abe9\" style=\"color:#000060\"><strong>4. Checking for Equivalent Ratios<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Divide both numbers in the ratio and compare their values.<\/li>\n\n\n\n<li><strong>Example<\/strong> :<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"704\" height=\"166\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2025\/02\/image.png\" alt=\"\" class=\"wp-image-15476\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2025\/02\/image.png 704w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2025\/02\/image-300x71.png 300w\" sizes=\"auto, (max-width: 704px) 100vw, 704px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-6a5cbf2be2f311f9d52b1dedf90c77d0\" style=\"color:#000060\"><strong>5. Ratio Tables<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A ratio table helps list multiple equivalent ratios by multiplying or dividing.\n<ul class=\"wp-block-list\">\n<li>Example for 2:5<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"698\" height=\"215\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2025\/02\/image-1.png\" alt=\"\" class=\"wp-image-15477\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2025\/02\/image-1.png 698w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2025\/02\/image-1-300x92.png 300w\" sizes=\"auto, (max-width: 698px) 100vw, 698px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-ead339d715de6cf44c5df4ac3fdd19e1\" style=\"color:#000060\"><strong>6. Real-Life Examples of Equivalent Ratios<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Cooking Recipes:<\/strong> If a recipe needs 2 cups of flour and 3 cups of sugar, doubling it gives 4 cups of flour and 6 cups of sugar (2:3 = 4:6).<\/li>\n\n\n\n<li><strong>Maps and Scale Models:<\/strong> A map may use a 1:100 ratio, meaning 1 cm on the map represents 100 cm in real life.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-a8c2ad69e443b335639c26d06ea4eb2a\" style=\"color:#000060\"><strong>7. Solving Problems with Equivalent Ratios<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Use cross multiplication to check equivalency:\n<ul class=\"wp-block-list\">\n<li>Is 3:4 equivalent to 6:8?<\/li>\n\n\n\n<li>3\u00d78=4\u00d76<\/li>\n\n\n\n<li>24=24 \u2705 Equivalent<\/li>\n<\/ul>\n<\/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-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-76ab5e1cc7b9f21e59eab7f7727360a3\" style=\"background-color:#d2fadc\"><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-link-color wp-elements-119784481e3d4cdf2d1b6a8c385e73d5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-0a9e1138203a249e99eea9f353a56171\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Are&nbsp;the ratios&nbsp;20:10&nbsp;and&nbsp;2:1&nbsp;equivalent?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;write the ratios as&nbsp;fractions.The&nbsp;first number is the numerator. The second number is the&nbsp;denominator.<\/p>\n\n\n\n<p>20 : 10 \u27a1\ufe0f 20\/10<\/p>\n\n\n\n<p>2 : 1 \u27a1\ufe0f 2\/1<\/p>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;10&nbsp;and&nbsp;1.&nbsp;You can use&nbsp;10&nbsp;as the common denominator since&nbsp;10&nbsp;is a multiple of&nbsp;1.<\/p>\n\n\n\n<p>Write&nbsp;2\/1 with a denominator of&nbsp;10.<\/p>\n\n\n\n<p>2\/1 = 2 . 10 \/ 1.10 = 20\/10<\/p>\n\n\n\n<p>So,&nbsp;20\/10 and&nbsp;2\/1 are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 20:10 and 2:1 <strong>are equivalent<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-44c24c4620e656c3a4c648be195b1e67\" style=\"background-color:#e6eab3\"><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-link-color wp-elements-2b854330cfc94c80f976a9e5f5762b62\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-948bb14d8d0539df29b05b2bd7bb48ac\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Are&nbsp;the ratios&nbsp;8:16&nbsp;and&nbsp;1:2&nbsp;equivalent?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;write the ratios as&nbsp;fractions.<\/p>\n\n\n\n<p>The&nbsp;first number is the numerator. The second number is the&nbsp;denominator.<\/p>\n\n\n\n<p>8 : 16 \u27a1\ufe0f 8\/16<\/p>\n\n\n\n<p>1 : 2 \u27a1\ufe0f 1\/2<\/p>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;16&nbsp;and&nbsp;2.&nbsp;You can use&nbsp;16&nbsp;as the common denominator since&nbsp;16&nbsp;is a multiple of&nbsp;2.<\/p>\n\n\n\n<p>Write&nbsp;1\/2&nbsp;with a denominator of&nbsp;16.<\/p>\n\n\n\n<p>1\/2 = 1 . 8  \/ 2 .8 = 8\/16<\/p>\n\n\n\n<p>So,&nbsp;8\/16 and&nbsp;1\/2 &nbsp;are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 8:16 and 1:2 are equivalent.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><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-text-color has-background has-link-color has-large-font-size wp-elements-39223ee71181e317521165196ebaf1fb\" style=\"background-color:#e8aaee\"><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-link-color wp-elements-b4d1dd9679fd85e2f052768f18f1d789\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-d6ab57d06f4d523871cb1aac3db39b91\" style=\"color:#b00012\"><strong>\u25b6\ufe0f Are&nbsp;the ratios&nbsp;4:20&nbsp;and&nbsp;1:5&nbsp;equivalent?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>First,&nbsp;write the ratios as&nbsp;fractions.<\/p>\n\n\n\n<p>The&nbsp;first number is the numerator. The second number is the&nbsp;denominator.<\/p>\n\n\n\n<p>4 : 20 \u27a1\ufe0f  4\/20<\/p>\n\n\n\n<p>1 : 5 \u27a1\ufe0f  1\/5<\/p>\n\n\n\n<p>You&nbsp;can compare the fractions using a common&nbsp;denominator.<\/p>\n\n\n\n<p>The&nbsp;denominators are&nbsp;20&nbsp;and&nbsp;5.&nbsp;You can use&nbsp;20&nbsp;as the common denominator since&nbsp;20&nbsp;is a multiple of&nbsp;5.<\/p>\n\n\n\n<p>Write 1\/5 with a denominator of&nbsp;20.<\/p>\n\n\n\n<p>1\/5 = 1 . 4 \/ 5 .4 = 4\/20<\/p>\n\n\n\n<p>So,&nbsp;4\/20 and&nbsp;1\/5 are&nbsp;equal.<\/p>\n\n\n\n<p>This means that the ratios 4:20 and 1:5 are equivalent.<\/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 practice!\ud83d\udd8a\ufe0f<\/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\/83719\/543\/439\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-28.png\" alt=\"\" class=\"wp-image-5485\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-28.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-28-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-28-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-3-28-400x400.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\/86071\/885\/882\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-29.png\" alt=\"\" class=\"wp-image-5486\" srcset=\"https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-29.png 500w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-29-300x300.png 300w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-29-150x150.png 150w, https:\/\/6thclass.deltapublications.in\/wp-content\/uploads\/2023\/04\/Worksheet-1-1-2-29-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify equivalent ratios Key Notes : 1. What is a Ratio? 2. What are Equivalent Ratios? 3. How to Find Equivalent Ratios 4. Checking for Equivalent Ratios 5. Ratio Tables 6. Real-Life Examples of Equivalent Ratios 7. Solving Problems with Equivalent Ratios Learn with an example \u25b6\ufe0f Are&nbsp;the ratios&nbsp;20:10&nbsp;and&nbsp;2:1&nbsp;equivalent? First,&nbsp;write the ratios as&nbsp;fractions.The&nbsp;first number is<a class=\"more-link\" href=\"https:\/\/6thclass.deltapublications.in\/index.php\/m-3-identify-equivalent-ratios\/\">Continue reading <span class=\"screen-reader-text\">&#8220;M.3 Identify equivalent 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,"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-205","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=205"}],"version-history":[{"count":16,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/205\/revisions"}],"predecessor-version":[{"id":15484,"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/205\/revisions\/15484"}],"wp:attachment":[{"href":"https:\/\/6thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}