Equivalent Ratios

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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, 1:2 and 2:4 are equivalent ratios.

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How do 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, to find an equivalent ratio for 2:3, multiply both terms by 2 to get 4:6.

Front

What is the ratio of 4 to 12?

Back

The ratio of 4 to 12 can be simplified to 1:3 by dividing both terms by 4.

Front

If the ratio of boys to girls in a class is 3:5, what is the equivalent ratio if there are 12 boys?

Back

If there are 12 boys, the equivalent ratio of boys to girls is 12:20, since 12 is 3 times 4 and 5 times 4 is 20.

Front

What is the relationship between fractions and ratios?

Back

Front

Are the ratios 2:3 and 4:6 equivalent?

Back

Yes, the ratios 2:3 and 4:6 are equivalent because both can be simplified to the same ratio.

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Front

How do you check if two ratios are equivalent?

Back

To check if two ratios are equivalent, cross-multiply and see if the products are equal. For example, for 1:2 and 4:8, check if 1*8 = 2*4.

Front

What is the equivalent ratio of 5:10?

Back

The equivalent ratio of 5:10 is 1:2, since both terms can be divided by 5.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

If the ratio is 2:3, then for 9 cups of flour, you need 6 cups of sugar, since 2/3 of 9 is 6.