Ratios and Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or dollars per hour.

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 earn $20 for 4 hours of work, the unit rate is $20 ÷ 4 = $5 per hour.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common factor (GCF). For example, to simplify the ratio 8:12, divide both by 4 to get 2:3.

Front

What is the formula for calculating speed?

Back

Speed = Distance ÷ Time. For example, if a car travels 120 miles in 2 hours, its speed is 120 ÷ 2 = 60 miles per hour.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

How can you express the ratio 4:8 in simplest form?

Back

The simplest form of the ratio 4:8 is 1:2.

Front

What is the average speed if a cyclist travels 150 miles in 5 hours?

Back

Average speed = 150 miles ÷ 5 hours = 30 miles per hour.

Front

If a car travels 240 miles in 4 hours, what is its average speed?

Back

Average speed = 240 miles ÷ 4 hours = 60 miles per hour.