Ratio and Rate Reasoning

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 cost per item.

Front

How do you find the unit price?

Back

To find the unit price, divide the total cost by the number of items. This gives the cost per single item.

Front

If 7 sheets of scrapbook paper cost $1.05, what is the unit price per sheet?

Back

$1.05 ÷ 7 = $0.15 per sheet.

Front

How do you convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3, since there are 3 feet in a yard.

Front

If John's garden is 12 ft long and 15 ft wide, what is its area in square feet?

Back

Area = length × width = 12 ft × 15 ft = 180 square feet.

Front

What is the unit rate?

Back

The unit rate is the quantity of one item per one unit of another item, often expressed as a fraction.

Front

Pamela paid $75 for a 6-month subscription. What is the unit rate per month?

Back

$75 ÷ 6 months = $12.50 per month.

Front

How do you calculate how many items you can buy with a different amount of money?

Back

Use the unit price to determine how many items can be purchased by dividing the total amount of money by the unit price.

Front

If 12 pencils cost $3, what is the cost per pencil?

Back

$3 ÷ 12 pencils = $0.25 per pencil.