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

Front

How can you determine if two ratios are equivalent?

Back

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

Front

What is the ratio of 3 to 6?

Back

The ratio of 3 to 6 can be simplified to 1:2, which is an equivalent ratio.

Front

If the ratio of boys to girls in a class is 4:5, what is the equivalent ratio if there are 8 boys?

Back

If there are 8 boys, the equivalent ratio of boys to girls is 8:10.

Front

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

Back

Yes, the ratios 2:3 and 4:6 are equivalent because 2 x 3 = 6 and 4 x 1.5 = 6.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as fractions that represent the same value. For example, the ratio 1:2 is equivalent to the fraction 1/2.

Front

If a recipe calls for 2 cups of flour to 3 cups of sugar, what is an equivalent ratio if you use 4 cups of flour?

Back

If you use 4 cups of flour, the equivalent ratio of flour to sugar is 4:6.

Front

What is the simplest form of the ratio 10:15?

Back

The simplest form of the ratio 10:15 is 2:3.

Front

Are the ratios 5:10 and 1:2 equivalent?

Back

Yes, the ratios 5:10 and 1:2 are equivalent because both simplify to the same ratio.

Front

If the ratio of cats to dogs is 3:4, what is the equivalent ratio if there are 9 cats?

Back

If there are 9 cats, the equivalent ratio of cats to dogs is 9:12.