Equivalent Ratios

Front

What is an equivalent ratio?

Back

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

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 4:8, divide both by 4 to get 1:2.

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What is the ratio of boys to girls if there are 5 boys and 7 girls?

Back

The ratio of boys to girls is 5:7.

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If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

Are the ratios 3:5 and 6:10 equivalent?

Back

Yes, the ratios 3:5 and 6:10 are equivalent because both can be simplified to 3:5.

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What is the ratio of 12 to 20 in simplest form?

Back

The simplest form of the ratio 12:20 is 3:5.

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If there are 10 apples and 15 oranges, what is the ratio of oranges to total fruits?

Back

The ratio of oranges to total fruits (10 apples + 15 oranges = 25 fruits) is 15:25, which simplifies to 3:5.

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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 represent the same relationship between the quantities. For example, 2:3 and 4:5 are not equivalent.

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How can you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, multiplying 2:3 by 2 gives 4:6.

Front

What is the ratio of walnuts to peanuts if there are 5 walnuts and 10 peanuts?

Back

The ratio of walnuts to peanuts is 5:10, which simplifies to 1:2.