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' or a:b.

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

What is a unit rate?

Back

A unit rate is a rate in which the second quantity (denominator) is 1. For example, if you earn $18 for 1 hour of work, the unit rate is $18 per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you have 90 dollars for 5 hours, the unit rate is 90 ÷ 5 = $18 per hour.

Front

What is the ratio of girls to boys if there are 9 girls and 7 boys?

Back

The ratio of girls to boys is 9 to 7.

Front

If a candy bar costs $13.50 for 9 bars, what is the price per candy bar?

Back

The price per candy bar is $1.50.

Front

What is the formula to find the total cost when given the unit price and quantity?

Back

Total Cost = Unit Price × Quantity.

Front

If Mr. Wright has 7 boys and 9 girls, what is the ratio of boys to girls?

Back

The ratio of boys to girls is 7 to 9.

Front

What does it mean if a rate is expressed as 'miles per hour'?

Back

It means the distance in miles traveled in one hour.

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.