Rates&Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total price by the number of units. For example, if a pack of 12 juice boxes costs $6.00, the unit price is $6.00 ÷ 12 = $0.50 per juice box.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. For example, a ratio of 3:2 means for every 3 of the first item, there are 2 of the second.

Front

How do you determine which item is a better buy?

Back

To determine which item is a better buy, calculate the unit price for each item and compare them. The item with the lower unit price is the better buy.

Front

What is the formula for finding the price per item?

Back

Price per item = Total price ÷ Number of items. For example, if 4 tickets cost $252, the price per ticket is $252 ÷ 4 = $63.

Front

If a 12-pack of soda costs $9.00, what is the unit price?

Back

Unit price = $9.00 ÷ 12 = $0.75 per can.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form. For example, the ratio 4:8 simplifies to 1:2.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first number over the second number. For example, the ratio 3:2 can be expressed as the fraction 3/2.

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds. For example, speed (miles per hour) is a rate.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first number by the sum of both numbers in the ratio and then multiply by 100. For example, for the ratio 3:2, the percentage of the first number is (3/(3+2)) * 100 = 60%.