{"id":3659,"date":"2022-02-05T20:22:24","date_gmt":"2022-02-05T20:22:24","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=3659"},"modified":"2022-03-04T13:33:24","modified_gmt":"2022-03-04T13:33:24","slug":"ratios-and-proportions","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/ratios-and-proportions\/","title":{"rendered":"Ratios and Proportions"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Ratios and Proportions<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers says <strong>a<\/strong> and <strong>b<\/strong> is given by <strong>a : b<\/strong> or <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{a}{b}\" alt=\"\\fn_phv \\frac{a}{b}\" align=\"absmiddle\" \/>. When two or more such ratios are equal, they are said to be in proportion. The concept of ratio and proportion is majorly based on ratios and fractions. A proportion is read as <strong>x<\/strong> is to <strong>y<\/strong> as <strong>z<\/strong> is to <strong>w<\/strong>. <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{x}{y}\" alt=\"\\fn_phv \\frac{x}{y}\" align=\"absmiddle\" \/> = <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{z}{w}\" alt=\"\\fn_phv \\frac{z}{w}\" align=\"absmiddle\" \/>\u00a0where <strong>w<\/strong> & <strong>y<\/strong> are not equal to 0. And thus, <strong>x : y : : z : w<\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]The order of the values in a ratio relates directly to the order of the quantities described. When describing a ratio that is a part of a whole, a fraction is appropriate. Ratios can also be written using the word “to” or by using a colon between the two numbers.<br \/>\nTo find an equivalent ratio, multiply or divide both quantities by the same number.<br \/>\nTo determine whether two ratios are equivalent, write them as simplified fractions. If the fractions are equal, the ratios are equivalent.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/graphing-proportional-relationships\"><strong>Identifying proportional relationships through graphs:<\/strong><\/a><br \/>\nTo determine whether two quantities are proportional, graph the quantities on a coordinate plane. If the graph of the two quantities is a straight line through the origin, then the two quantities are proportional.<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/identify-proportional-relationships\"><strong>Identifying proportional relationships through tables:<\/strong><\/a><br \/>\nWrite the ratios as fractions and then reduce them.<br \/>\nIf the reduced fractions are the same, the ratios are proportional.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Write the ratio of stars to circles.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/understand-ratios\"><img loading=\"lazy\" class=\"alignnone wp-image-3661 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-38.png\" alt=\"\" width=\"236\" height=\"143\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]The order of the values in a ratio relates directly to the order of the quantities described:<br \/>\n<span style=\"color: red;\"><strong>stars to circles or stars : circles<br \/>\n<\/strong><\/span><br \/>\nThe first number (on the left) will be the number of stars shown. The number of circles will go on the right.<br \/>\n<strong>stars : circles<\/strong><br \/>\n<span style=\"color: red;\"><strong>3 : 2<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Ratios and Proportions[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;\\frac{3}{7}\" alt=\"\\fn_phv \\frac{3}{7}\" align=\"absmiddle\" \/> of a recipe is butter and the rest is sugar.<\/strong><br \/>\n<strong><span style=\"color: #16a085;\">What is the ratio of butter to sugar in the recipe?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratios-and-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-3663 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/11-26.png\" alt=\"Ratios and Proportions - Practice Problem 1\" width=\"286\" height=\"211\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratios-and-fractions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/understand-ratios\"><img loading=\"lazy\" class=\"alignnone wp-image-3667 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/12-18.png\" alt=\"Ratios and Proportions - Practice Problem 2\" width=\"177\" height=\"167\" \/><\/a><br \/>\n<strong><span style=\"color: #16a085;\">Which of the following ratios is equal to 3:5?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/understand-ratios\"><img loading=\"lazy\" class=\"alignnone wp-image-3665 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/121.png\" alt=\"\" width=\"296\" height=\"116\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/understand-ratios”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong>The ratio of cats to dogs in a pet store is 2:3.<\/strong><br \/>\n<strong><span style=\"color: #16a085;\">What fraction of the animals are dogs?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratios-and-fractions\"><img loading=\"lazy\" class=\"alignnone wp-image-3669 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/13-17.png\" alt=\"Ratios and Proportions - Practice Problem 3\" width=\"295\" height=\"284\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/ratios-and-fractions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">If the ratios 3 : 1 and 21 : x are equivalent, what is the value of x?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/solving-proportions\"><img loading=\"lazy\" class=\"alignnone wp-image-3506 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/14-7.png\" alt=\"Ratios and Proportions - Practice Problem 4\" width=\"122\" height=\"45\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/solving-proportions”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Ratio<\/strong> – a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison.<\/p>\n<p><strong>Equivalent ratios<\/strong> – Two ratios that have the same value.<\/p>\n<p><strong>Ratio tables<\/strong> show pairs of corresponding values, with an equivalent ratio between each pair.<\/p>\n<p><strong>Proportion<\/strong> refers to a part, share, or number considered in relation to a whole, majorly a comparative relation. Two equivalent ratios are always in proportion.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/greatest-common-factor-gcf\"><span style=\"color: #ed5600;\">Greatest Common Factor-GCF<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/least-common-multiple-lcm-\"><span style=\"color: #ed5600;\">Least Common Multiple (LCM)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/find-equivalent-fractions\"><span style=\"color: #ed5600;\">Find Equivalent Fractions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/simplifying-fractions-6-4-4\"><span style=\"color: #ed5600;\">Simplifying fractions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635248187161{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/unit-rate-applications\"><span style=\"color: #333399;\">Unit Rate Applications<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/unit-rate\"><span style=\"color: #333399;\">Unit Rate<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/dimensional-analysis\"><span style=\"color: #333399;\">Dimensional Analysis<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/constant-rate-of-change\"><span style=\"color: #333399;\">Constant Rate of Change<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/slope\"><span style=\"color: #333399;\">Slope<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/direct-variation\"><span style=\"color: #333399;\">Direct Variation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/changes-in-dimensions\"><span style=\"color: #333399;\">Changes in Dimensions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-and-similar-triangles\"><span style=\"color: #333399;\">Slope and Similar Triangles<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” 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full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Ratios and Proportions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers says a and b is given by a : b […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ratios and Proportions | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers says a and b is given by a : b or fn_phv frac{a}{b}. 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The ratio formula for two numbers says a and b is given by a : b or \\fn_phv \\frac{a}{b}. 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