Finding unit rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if 4 gallons of gasoline cost $16.80, the unit rate is $16.80 ÷ 4 = $4.20 per gallon.

Front

What is the ratio of boys to girls if there are 30 students and 18 are boys?

Back

The ratio of boys to girls is 3:2, calculated by finding the number of girls (30 - 18 = 12) and simplifying the ratio 18:12.

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How do you calculate the unit rate of houses visited per hour?

Back

To calculate the unit rate of houses visited per hour, divide the total number of houses by the total hours. For example, 13 houses in 3 hours gives a unit rate of 13 ÷ 3 = 13/3 houses per hour.

Front

If Jameen paid $4.50 for 6 books, how much did he pay for 1 book?

Back

To find the cost per book, divide the total cost by the number of books: $4.50 ÷ 6 = $0.75 per book.

Front

How many pieces of candy are in 1 ounce if there are 75 pieces in a 15 ounce bag?

Back

To find the number of pieces per ounce, divide the total pieces by the total ounces: 75 ÷ 15 = 5 pieces per ounce.

Front

What is the formula to find a unit rate?

Back

The formula to find a unit rate is: Unit Rate = Total Quantity / Total Units.

Front

What does it mean if a unit rate is expressed as a fraction?

Back

A unit rate expressed as a fraction indicates the relationship between two quantities, showing how many of one quantity corresponds to one unit of another.

Front

How can you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 18:12 can be simplified to 3:2.

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What is the significance of unit rates in real-life situations?

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions, such as finding the best deal.