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.

Front

Is 8:20 equivalent to 2:5?

Back

Yes, 8:20 is equivalent to 2:5 because both can be simplified by dividing by 4.

Front

What happens to a ratio if you add the same number to both terms?

Back

Adding the same number to both terms of a ratio does not create an equivalent ratio.

Front

What happens to a ratio if you subtract the same number from both terms?

Back

Subtracting the same number from both terms of a ratio does not create an equivalent ratio.

Front

If the ratio of boys to girls is 3:4 and there are 20 girls, how many boys are there?

Back

There are 15 boys. (3/4 = x/20, so x = 15.)

Front

What is the ratio of 4:12 in simplest form?

Back

The simplest form of the ratio 4:12 is 1:3.

Front

If a team wins 5 out of every 7 games, what is the winning ratio?

Back

The winning ratio is 5:7.

Front

If a team played 28 games and won 20, what is the winning ratio?

Back

The winning ratio is 20:28, which simplifies to 5:7.

Front

What is the relationship between ratios and fractions?

Back

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