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 do you find an equivalent ratio using multiplication?

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To find an equivalent ratio using multiplication, multiply both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both terms by 2 gives 6:8.

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How do you find an equivalent ratio using division?

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To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number. For example, for the ratio 10:15, dividing both terms by 5 gives 2:3.

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What is the ratio of 10 soccer players to 3 coaches?

Back

The ratio of coaches to players is 3:10.

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Front

Which ratio is equivalent to 5:1?

Back

The ratio 10:2 is equivalent to 5:1.

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What is the simplest form of the ratio 12:16?

Back

The simplest form of the ratio 12:16 is 3:4.

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If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

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For 4 cups of flour, you need 6 cups of sugar, maintaining the ratio of 2:3.

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What is a ratio?

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A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How can you express the ratio 5:15 in simplest form?

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The simplest form of the ratio 5:15 is 1:3.