Ratios and Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

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.

Front

What is the ratio of 8 to 20 in simplest form?

Back

The simplest form of the ratio 8 to 20 is 2 to 5.

Front

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

Back

If there are 12 green apples, there are 16 red apples (4/3 = x/12, so x = 16).

Front

What is the ratio of boys to girls if there are 13 boys and 10 girls?

Back

The ratio of boys to girls is 13 to 10.

Front

What is an equivalent ratio to 4/7?

Back

An equivalent ratio to 4/7 is 8/14, 12/21, or any ratio formed by multiplying both terms by the same number.

Front

How can you express the ratio of 5 to 15 in simplest form?

Back

The simplest form of the ratio 5 to 15 is 1 to 3.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

If you have a ratio of 2:3, what would be the ratio if both terms are multiplied by 4?

Back

If both terms of the ratio 2:3 are multiplied by 4, the new ratio would be 8:12.

Front

What is the ratio of 10 to 25 in simplest form?

Back

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