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 to b' or a:b.

Front

How do you express a ratio in fraction form?

Back

A ratio can be expressed in fraction form by writing the first quantity as the numerator and the second quantity as the denominator, e.g., a:b = a/b.

Front

What is the ratio of quarters to dimes if there are 10 dimes and 8 quarters?

Back

The ratio of quarters to dimes is 8:10, which simplifies to 4:5.

Front

If 190 people fit in 3 buses, how many people fit in one bus?

Back

To find the number of people per bus, divide 190 by 3, which equals about 63.33 people per bus.

Front

How many buses are needed to carry 570 people if each bus carries about 63 people?

Back

To find the number of buses needed, divide 570 by 63, which equals about 9 buses.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

Front

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

Back

Justin can type 102 words per minute (408 words ÷ 4 minutes).

Front

What does the term 'to' signify in a ratio?

Back

The term 'to' is used to indicate the relationship between the two quantities in a ratio, e.g., 'the ratio of a to b is a to b'.

Front

Which of the following expresses a ratio: 2/3, two-thirds, 0.667, or 2.3?

Back

2/3 expresses a ratio.

Front

What is the simplest form of the ratio 10:15?

Back

The simplest form of the ratio 10:15 is 2:3.