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

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 $200 for 8 hours of work, the unit rate is $200 ÷ 8 = $25 per hour.

Front

What is the ratio of green marbles to all marbles if there are 8 green, 3 blue, 7 red, and 2 yellow marbles?

Back

The total number of marbles is 8 + 3 + 7 + 2 = 20. The ratio of green marbles to all marbles is 8:20, which simplifies to 2:5.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as distance per time (miles per hour) or cost per item.

Front

What is the equivalent rate of 15 miles per hour?

Back

30 miles in 2 hours is equivalent to 15 miles per hour.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 9:12 can be simplified to 3:4.

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 9:7.

Front

If a car travels 60 miles in 1 hour, what is its speed in miles per hour?

Back

The speed is 60 miles per hour.

Front

What is a unit rate in the context of speed?

Back

A unit rate in the context of speed is the distance traveled per unit of time, such as miles per hour.

Front

How do you find the missing number in a ratio table?

Back

To find the missing number in a ratio table, use the relationship between the known numbers and apply the same ratio.