Understanding ratio notation, rate language 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, expressed as 'a to b' or a:b.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you travel 300 miles in 5 hours, the unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

Front

What is the ratio of 4 apples to 6 oranges in simplest form?

Back

The simplest form of the ratio 4:6 is 2:3.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

The unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the ratio of non-fiction books to fiction books if you have 7 non-fiction and 4 fiction?

Back

The ratio of non-fiction to fiction books is 7:4.

Front

How do you express a ratio of 10 to 5 in simplest form?

Back

The simplest form of the ratio 10:5 is 2:1.

Front

If you earn $80 for 10 hours of work, what is your hourly wage?

Back

Your hourly wage is $80 ÷ 10 hours = $8 per hour.

Front

What is the unit rate for 240 beats in 4 minutes?

Back

The unit rate is 240 beats ÷ 4 minutes = 60 beats per minute.

Front

How do you find the ratio of two quantities?

Back

To find the ratio, divide each quantity by the greatest common factor and express it in the form a:b.