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 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 20:25, divide both by 5 to get 4:5.

Front

What is the ratio of boys to girls if there are 21 boys and 6 girls?

Back

The ratio of girls to boys is 6:21.

Front

Which of the following ratios are equivalent to 5:6? 10:12, 15:18, 16:20, 20:24

Back

10:12, 15:18, and 20:24 are equivalent to 5:6. 16:20 is not.

Front

If 36 to 21 = _____ to 7, what is the missing number?

Back

The missing number is 12.

Front

What is the first step to determine if two ratios are equivalent?

Back

The first step is to cross-multiply the ratios and compare the products.

Front

What does it mean to say that two ratios are not equivalent?

Back

It means that the two ratios do not represent the same relationship between the quantities.

Front

How can you express the ratio of 4 apples to 6 oranges in simplest form?

Back

The simplest form of the ratio 4:6 is 2:3.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 1:2 is equivalent to the fraction 1/2.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you need 6 cups of sugar to maintain the ratio.