Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you find the ratio of girls to boys if the ratio of boys to girls is 3:2?

Back

The ratio of girls to boys is the inverse of the boys to girls ratio. Therefore, if the ratio of boys to girls is 3:2, the ratio of girls to boys is 2:3.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

Find the unit rate for 12 monkeys for every 3 tigers.

Back

The unit rate is 4 monkeys per tiger.

Front

If Mason ran 4 miles, how many miles did Laney run if the ratio of their distances is 2:3?

Back

Laney ran 6 miles.

Front

Charles can type 675 words in 9 minutes. How many words can he type in 1 minute?

Back

Charles can type 75 words in 1 minute.

Front

What is the formula to find a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If the ratio of apples to oranges is 4:5, what is the ratio of oranges to apples?

Back

The ratio of oranges to apples is 5:4.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.