Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

If the ratio of red apples to green apples is 4 to 3, how many green apples are there if there are 12 red apples?

Back

There are 9 green apples. (4:3 means for every 4 red apples, there are 3 green apples. 12 red apples = 9 green apples.)

Front

What is the ratio of peaches to apples if there are 10 apples and 15 peaches?

Back

The ratio of peaches to apples is 3 to 2.

Front

How do you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity. For example, a ratio of 4 to 3 can be written as 4/3.

Front

What is the simplest form of the ratio 10:25?

Back

The simplest form of the ratio 10:25 is 2:5.

Front

If a baseball team has 16 girls and 8 boys, what is the ratio of girls to total players?

Back

The ratio of girls to total players is 2 to 3.

Front

How do you find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together. For example, in a ratio of 4:3, the total is 4 + 3 = 7.

Front

What is the ratio of total players to boys if there are 16 girls and 8 boys?

Back

The ratio of total players to boys is 3 to 1.