Equivalent Ratios

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What is an equivalent ratio?

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An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

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How can you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number. For example, if you have the ratio 3:4, multiplying both terms by 2 gives you 6:8, which is equivalent.

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What does it mean if two ratios are NOT equivalent?

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If two ratios are NOT equivalent, it means they do not express the same relationship between the two quantities. For example, 1:2 and 1:3 are NOT equivalent ratios.

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Give an example of two equivalent ratios.

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An example of two equivalent ratios is 2:3 and 4:6.

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What is the relationship between equivalent ratios and fractions?

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Equivalent ratios are similar to equivalent fractions; they represent the same part-to-whole relationship. For example, the ratio 1:2 is equivalent to the fraction 1/2.

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is an equivalent ratio if you double the ingredients?

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An equivalent ratio when you double the ingredients would be 4 cups of flour and 6 cups of sugar.

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How can you use a table to find equivalent ratios?

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You can create a table listing pairs of equivalent ratios by multiplying or dividing the original ratio by the same number. For example, for the ratio 1:3, you can list 1:3, 2:6, 3:9, etc.

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What is the simplest form of a ratio?

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The simplest form of a ratio is when the two numbers are reduced to their smallest whole number values. For example, the ratio 4:8 can be simplified to 1:2.

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How do you check if two ratios are equivalent?

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To check if two ratios are equivalent, cross-multiply the terms. If the products are equal, the ratios are equivalent.

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What is a real-life example of equivalent ratios?

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A real-life example of equivalent ratios is in cooking, where you might need to adjust a recipe. If a recipe for 4 servings uses 2 cups of rice, then for 8 servings, you would use 4 cups of rice, which is an equivalent ratio.