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 do you find an equivalent ratio?

Back

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

If the ratio of cats to dogs is 3:5, how many cats are there if there are 15 dogs?

Back

There are 9 cats. (3/5 = x/15; x = 3*15/5 = 9)

Front

What is the ratio of 12 to 16 in simplest form?

Back

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

Front

Which of the following ratios is equivalent to 4:6? 8:12, 2:3, 6:8, 10:15

Back

8:12 and 2:3 are equivalent to 4:6.

Front

If a recipe calls for 2 cups of flour to 3 cups of sugar, how many cups of flour are needed for 9 cups of sugar?

Back

6 cups of flour are needed. (2:3 = x:9; x = 2*9/3 = 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 the ratio of boys to girls in a class is 5:7 and there are 35 boys, how many girls are there?

Back

There are 49 girls. (5/7 = 35/x; x = 7*35/5 = 49)

Front

What number should go in the blank to make the ratios equivalent? 4 : 10 __ : 25

Back

The number is 10. (4/10 = x/25; x = 10)

Front

Which ratio is equivalent to 15:25?

Back

The equivalent ratio is 3:5.