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 used are different. For example, the ratios 1:2 and 2:4 are equivalent.

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 8:12, divide both by 4 to get 2:3.

Front

What is the ratio of 5 apples to 10 oranges?

Back

The ratio of 5 apples to 10 oranges can be simplified to 1:2.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What does it mean if two ratios are proportional?

Back

Two ratios are proportional if they express the same relationship. For example, if 1:2 = 2:4, then these ratios are proportional.

Front

How can you find a missing value in a ratio?

Back

To find a missing value in a ratio, set up a proportion and cross-multiply. For example, if the ratio is 3:x = 6:12, then cross-multiply to find x = 4.

Front

What is the ratio of boys to girls in a class of 20 students with 12 girls?

Back

If there are 12 girls, then there are 8 boys. The ratio of boys to girls is 8:12, which simplifies to 2:3.

Front

If a car travels 60 miles in 1 hour, what is the ratio of distance to time?

Back

The ratio of distance to time is 60 miles to 1 hour, or 60:1.

Front

What is the ratio of 15 to 25?

Back

The ratio of 15 to 25 simplifies to 3:5.

Front

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, write the first term as the numerator and the second term as the denominator. For example, the ratio 3:4 can be expressed as the fraction 3/4.