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 determine if two ratios are equivalent?

Back

Two ratios are equivalent if you can simplify them to the same fraction or if you can cross-multiply and get the same product.

Front

What is the ratio of 6 to 9 in simplest form?

Back

The simplest form of the ratio 6:9 is 2:3.

Front

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

Back

The equivalent ratio of flour to sugar is 2:3.

Front

What is the ratio of boys to girls if there are 15 boys and 10 girls?

Back

The ratio of boys to girls is 15:10, which simplifies to 3:2.

Front

If 4 apples cost $2, how much do 12 apples cost?

Back

12 apples cost $6, as the ratio of apples to cost is equivalent (4:2 = 12:x).

Front

Which of the following ratios is equivalent to 3:5? 6:10, 9:15, 12:20, 4:8

Back

6:10, 9:15, and 12:20 are equivalent to 3:5. 4:8 is not.

Front

What is the ratio of 8 to 12 in simplest form?

Back

The simplest form of the ratio 8:12 is 2:3.

Front

If there are 30 students in a class and 12 are girls, what is the ratio of girls to students?

Back

The ratio of girls to students is 12:30, which simplifies to 2:5.

Front

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

Back

The car will travel 180 miles in 3 hours, maintaining the equivalent ratio of distance to time.