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 factor (GCF). For example, to simplify the ratio 20:25, divide both by 5 to get 4:5.

Front

If a recipe calls for 2 cups of flour to make 4 cookies, how many cups of flour are needed for 12 cookies?

Back

6 cups of flour. (The ratio is 2:4, which simplifies to 1:2. For 12 cookies, you need 6 cups of flour.)

Front

What is the ratio of 15 to 25 in simplest form?

Back

3 to 5. (Divide both terms by 5.)

Front

If there are 10 apples and 15 oranges, what is the ratio of apples to oranges?

Back

2 to 3. (Divide both terms by 5.)

Front

How can you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number. For example, for the ratio 3:4, multiplying both by 2 gives 6:8.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles. (The ratio of distance to time is 60:1, so in 3 hours, it travels 60 * 3 = 180 miles.)

Front

What does it mean if two ratios are equivalent?

Back

It means they represent the same relationship between quantities. For example, the ratios 1:2 and 2:4 are equivalent because they both represent the same proportion.

Front

If a class has 12 boys and 8 girls, what is the ratio of boys to girls?

Back

3 to 2. (Divide both terms by 4.)