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

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 for 4 cups of flour?

Back

The equivalent ratio for 4 cups of flour would be 6 cups of sugar, making it 4:6.

Front

What is the relationship between the ratios 10:15 and 2:3?

Back

The ratios 10:15 and 2:3 are equivalent because both simplify to the same ratio.

Front

If 5 apples cost $10, how much would 15 apples cost?

Back

15 apples would cost $30, as the ratio of cost to apples is equivalent.

Front

Which ratio is equivalent to 8:12?

Back

The ratio 2:3 is equivalent to 8:12.

Front

What is the simplest form of the ratio 20:24?

Back

The simplest form of the ratio 20:24 is 5:6.

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.

Front

What is the ratio of 12:20 in simplest form?

Back

The simplest form of the ratio 12:20 is 3:5.