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, the ratios 2:3 and 4:6 are equivalent.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, to simplify the ratio 8:12, divide both by 4 to get 2:3.

Front

What is the ratio of baskets made to total baskets if Michael made 12 out of 18 free throws?

Back

The ratio is 2:3.

Front

How do you express a ratio as a fraction?

Back

Front

What is the simplest form of the ratio 24:3?

Back

The simplest form is 8:1.

Front

Back

No, they are not equivalent.

Front

If the ratio of 6th graders to 7th graders is 4:1 and there are 8 7th graders, how many 6th graders are there?

Back

There are 32 6th graders.

Front

What is the ratio of girls to boys if there are 5 boys and 7 girls?

Back

The ratio is 7 to 5.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for the ratios a:b and c:d, they are equivalent if a*d = b*c.

Front

What does it mean for a ratio to be in simplest form?

Back

A ratio is in simplest form when the two numbers have no common factors other than 1.