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 miles per hour or dollars per pound.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour or $5 per item.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the first quantity by the second quantity. For example, if you have 40 dollars for 5 pounds, the unit rate is 40 ÷ 5 = 8 dollars per pound.

Front

If 4 concert tickets cost $252, how do you find the price per ticket?

Back

Divide the total cost by the number of tickets: $252 ÷ 4 = $63 per ticket.

Front

What is the formula to find the total cost based on unit rate?

Back

Total Cost = Unit Rate × Quantity. For example, if the unit rate is $8 per pound and you buy 5 pounds, the total cost is $8 × 5 = $40.

Front

If a box of 35 diapers costs $6.99, how do you find the cost per diaper?

Back

Divide the total cost by the number of diapers: $6.99 ÷ 35 = $0.20 per diaper.

Front

What is the unit rate for speed?

Back

The unit rate for speed is typically expressed in miles per hour (mph) or kilometers per hour (km/h). It shows how many miles or kilometers are traveled in one hour.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to simplify it to one unit. For example, if you have 567 miles in 9 hours, divide both by 9 to find the unit rate.

Front

What is the unit rate if you travel 567 miles in 9 hours?

Back

The unit rate is 567 miles ÷ 9 hours = 63 mph.