Ratios, Rates and Unit 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 to b'.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (a:b), as a fraction (a/b), or with the word 'to' (a to b).

Front

What is the ratio of red marbles to yellow marbles if there are 2 red and 5 yellow?

Back

The ratio of red to yellow marbles is 2 to 5.

Front

How do you find the total number of items in a ratio?

Back

To find the total, add the parts of the ratio together. For example, in the ratio 3:2:5, the total is 3 + 2 + 5 = 10.

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

If you spend $40 on 5 pounds of concrete, what is the unit rate?

Back

The unit rate is $8 per pound.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the total amount by the number of units. For example, if you earn $200 for 8 hours, the unit rate is $200 ÷ 8 = $25 per hour.

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5 to 11.

Front

How do you express a ratio as a fraction?

Back

To express a ratio as a fraction, place the first quantity over the second quantity. For example, the ratio 2:5 can be expressed as 2/5.

Front

If Charles can type 675 words in 9 minutes, how many words can he type per minute?

Back

Charles can type 75 words per minute.