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 of 2:3, you can multiply both terms by 2 to get 4:6.

Front

If the ratio of apples to oranges is 3:4, what is an equivalent ratio if we multiply both terms by 2?

Back

The equivalent ratio is 6:8.

Front

What is the missing number in the equivalent ratio 5:x = 10:20?

Back

The missing number x is 10.

Front

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

Back

The equivalent ratio is 4 cups of flour to 6 cups of sugar.

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 3:5, how many boys are there if there are 15 girls?

Back

There are 9 boys. (Using the equivalent ratio 3:5, if 5 parts represent 15 girls, then 3 parts represent 9 boys.)

Front

What is the missing number in the equivalent ratio 12:x = 36:9?

Back

The missing number x is 3.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying. If the cross-products are equal, the ratios are equivalent.

Front

If the ratio of cats to dogs is 4:1, what is the equivalent ratio if there are 12 cats?

Back

The equivalent ratio is 12 cats to 3 dogs.