Determine if 12:16 and 72:96 are equivalent ratios.<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n Correct Answer:<\/strong> Explanation (300 words):<\/strong><\/p>\n\n\n\n To determine whether two ratios are equivalent, we compare them by simplifying both ratios to their lowest terms or by converting them into fractions and checking if they are equal.<\/p>\n\n\n\n Write the ratio as a fraction: 1216\\frac{12}{16}<\/p>\n\n\n\n Now simplify by dividing both numerator and denominator by their greatest common divisor (GCD). The GCD of 12 and 16 is 4. 12\u00f7416\u00f74=34\\frac{12 \u00f7 4}{16 \u00f7 4} = \\frac{3}{4}<\/p>\n\n\n\n So, 12:16 simplifies to 3:4<\/strong>.<\/p>\n\n\n\n Write this as a fraction: 7296\\frac{72}{96}<\/p>\n\n\n\n The GCD of 72 and 96 is 24. 72\u00f72496\u00f724=34\\frac{72 \u00f7 24}{96 \u00f7 24} = \\frac{3}{4}<\/p>\n\n\n\n So, 72:96 also simplifies to 3:4<\/strong>.<\/p>\n\n\n\n Since both ratios simplify to the same value (3:4), they are equivalent<\/strong>.<\/p>\n\n\n\n Equivalent ratios represent the same relationship between two quantities. In real-life scenarios, equivalent ratios are used in cooking recipes, maps, and scaling models. For instance, if you double a recipe, you must maintain the same ratio of ingredients to keep the taste consistent. This is similar to multiplying both parts of a ratio by the same number.<\/p>\n\n\n\n In our case: 12\u00d76=72and16\u00d76=9612 \u00d7 6 = 72 \\quad \\text{and} \\quad 16 \u00d7 6 = 96<\/p>\n\n\n\n This confirms again that 72:96 is a scaled-up version of 12:16.<\/p>\n\n\n\n Conclusion:<\/strong> Determine if 12:16 and 72:96 are equivalent ratios. The correct answer and explanation is: Correct Answer:Yes, 12:16 and 72:96 are equivalent ratios. Explanation (300 words): To determine whether two ratios are equivalent, we compare them by simplifying both ratios to their lowest terms or by converting them into fractions and checking if they are equal. […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-18797","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18797","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=18797"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18797\/revisions"}],"predecessor-version":[{"id":18799,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18797\/revisions\/18799"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=18797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=18797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=18797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
Yes, 12:16 and 72:96 are equivalent ratios<\/strong>.<\/p>\n\n\n\n
\n\n\n\nStep 1: Simplify the first ratio (12:16)<\/h3>\n\n\n\n
\n\n\n\nStep 2: Simplify the second ratio (72:96)<\/h3>\n\n\n\n
\n\n\n\nStep 3: Compare the simplified ratios<\/h3>\n\n\n\n
\n
\n\n\n\nWhy This Matters:<\/h3>\n\n\n\n
Since both ratios reduce to the same simplest form, 12:16 and 72:96 are indeed equivalent<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"