{"id":50,"date":"2022-04-13T06:12:18","date_gmt":"2022-04-13T06:12:18","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=50"},"modified":"2025-11-21T07:28:22","modified_gmt":"2025-11-21T07:28:22","slug":"c-5-solve-proportions","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/c-5-solve-proportions\/","title":{"rendered":"C.5 Solve proportions"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Solve proportions<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/class-9-C.5-Solve-proportions-1.mp4\"><\/video><\/figure>\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<h3 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 <strong>What is a Proportion?<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>proportion<\/strong> is an equation that shows <strong>two ratios are equal<\/strong>.<\/li>\n\n\n\n<li>Example:<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>a\/b = c\/d (where\u00a0b\u22600,d\u22600)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 Ratios in proportion: <strong>Cross products are equal<\/strong><\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>a\u00d7d = b\u00d7c<\/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\">2\ufe0f\u20e3 <strong>Steps to Solve Proportions<\/strong><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Write the proportion clearly<\/strong> \u270f\ufe0f<br>Example: 3\/4=x\/8<\/li>\n\n\n\n<li><strong>Use cross multiplication<\/strong> \ud83d\udd04<br>3\u00d78 = 4 \u00d7 x<br>24 = 4 x<\/li>\n\n\n\n<li><strong>Solve for the unknown<\/strong> \ud83e\uddee<br>x = 24\/4 = 6\u2705<\/li>\n\n\n\n<li><strong>Check your solution<\/strong> \u2714\ufe0f<br>Substitute x=6x = 6x=6 back into the proportion:<br>3\/4 = 6\/8True!\u00a0\u2705<\/li>\n<\/ol>\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\">3\ufe0f\u20e3 <strong>Tips &amp; Tricks<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Always simplify ratios first<\/strong> \u2728<\/li>\n\n\n\n<li><strong>Remember:<\/strong> Cross multiplication is key! \ud83d\udd11<\/li>\n\n\n\n<li><strong>If fractions are mixed numbers, convert to improper fractions first<\/strong> \ud83d\udd22<\/li>\n\n\n\n<li><strong>Check your answer<\/strong> by putting it back into the original proportion \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\">4\ufe0f\u20e3 <strong>Word Problem Strategy<\/strong> \ud83d\udcda<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Read carefully and identify <strong>ratios<\/strong> \ud83d\udd0d<\/li>\n\n\n\n<li>Assign letters to unknown quantities \u270f\ufe0f<\/li>\n\n\n\n<li>Write a proportion equation<\/li>\n\n\n\n<li>Solve using <strong>cross multiplication<\/strong><\/li>\n\n\n\n<li>Check if answer <strong>makes sense<\/strong> \ud83d\udc4d<\/li>\n<\/ol>\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\">5\ufe0f\u20e3 <strong>Quick Emoji Memory Aid<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Proportion = \ud83d\udd17 Equal Ratios<\/strong><\/li>\n\n\n\n<li><strong>Cross multiply = \u2716\ufe0f\ud83d\udd04<\/strong><\/li>\n\n\n\n<li><strong>Solve for unknown = \ud83e\uddee<\/strong><\/li>\n\n\n\n<li><strong>Check = \u2705<\/strong><\/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 exampl<\/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-2787023dc6fce860a1406b083ce59797\" style=\"background-color:#b7f4de\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 Solve for&nbsp;<em>n<\/em>&nbsp;in the proportion.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>n\/12 = 12\/8<\/strong><\/p>\n\n\n\n<p><em>n<\/em>&nbsp;=&nbsp;<\/p>\n<\/div><\/div>\n\n\n\n<p>Solve for&nbsp;<em>n<\/em>&nbsp;in the proportion.<\/p>\n\n\n\n<p>n\/12 = 12\/8<\/p>\n\n\n\n<p>n\/12 ( 12.8 ) = 12\/8 ( 12.8 )              <em>Multiply both sides by 12 \u00b7 8<\/em><\/p>\n\n\n\n<p>8n = 12 \u00b7 12                                   Simplify<\/p>\n\n\n\n<p>8n = 144                                    Simplify<\/p>\n\n\n\n<p>n = 18                                    Divide both sides by 8<\/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-5dc33e69164f6e8861fa0c7f4367233f\" style=\"background-color:#f0adad\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udd14 Solve for&nbsp;<em>w<\/em>&nbsp;in the proportion.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>45\/39 = 30\/w<\/strong><\/p>\n\n\n\n<p><em>w<\/em>&nbsp;=&nbsp;<\/p>\n<\/div><\/div>\n\n\n\n<p>Solve for&nbsp;<em>w<\/em>&nbsp;in the proportion.<\/p>\n\n\n\n<p>45\/39 = 30\/w<\/p>\n\n\n\n<p>45\/39 ( 39w ) = 30\/w ( 39w )             <em>Multiply both sides by 39<\/em>w<\/p>\n\n\n\n<p>45w = 39 \u00b7 30                                 Simplify<\/p>\n\n\n\n<p>45w = 1,170                                Simplify <\/p>\n\n\n\n<p>w = 26                                     Divide both sides by 45<\/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-7ed4321a7a61d8944ee4179f0d51731b\" style=\"background-color:#d2f2c0\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\">Solve for&nbsp;<em>g<\/em>&nbsp;in the proportion.<\/p>\n\n\n\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>15\/2 = 45\/g<\/strong><\/p>\n\n\n\n<p>g =<\/p>\n<\/div><\/div>\n\n\n\n<p>Solve for&nbsp;<em>g<\/em>&nbsp;in the proportion.<\/p>\n\n\n\n<p>15\/2 = 45\/g<\/p>\n\n\n\n<p>15\/2 (2g) = 45\/g (2g)        <em>Multiply both sides by 2<\/em>g<\/p>\n\n\n\n<p>15g = 2 \u00b7 45                   Simplify<\/p>\n\n\n\n<p>15g = 90                  Simplify<\/p>\n\n\n\n<p>g = 6                   Divide both sides by 15<\/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\/76288\/765\/988\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15.png\" alt=\"\" class=\"wp-image-7310\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-15-150x150.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\/76326\/922\/619\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16.png\" alt=\"\" class=\"wp-image-7311\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-16-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve proportions key notes : 1\ufe0f\u20e3 What is a Proportion? a\/b = c\/d (where\u00a0b\u22600,d\u22600) a\u00d7d = b\u00d7c 2\ufe0f\u20e3 Steps to Solve Proportions 3\ufe0f\u20e3 Tips &amp; Tricks 4\ufe0f\u20e3 Word Problem Strategy \ud83d\udcda 5\ufe0f\u20e3 Quick Emoji Memory Aid Learn with an exampl \ud83d\udd14 Solve for&nbsp;n&nbsp;in the proportion. n\/12 = 12\/8 n&nbsp;=&nbsp; Solve for&nbsp;n&nbsp;in the proportion. n\/12 =<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/c-5-solve-proportions\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.5 Solve proportions&#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-50","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/50","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=50"}],"version-history":[{"count":25,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/50\/revisions"}],"predecessor-version":[{"id":18264,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/50\/revisions\/18264"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=50"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}