Unit Rates & Complex Fractions

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you earn $20 for 4 hours of work, the unit rate is $20 ÷ 4 hours = $5 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions. For example, (1/2)/(3/4) is a complex fraction.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved.

Front

If a snail moves 3/10 of a meter every 1/12 hour, how do you find its speed in meters per hour?

Back

To find the speed, divide the distance by the time: (3/10) ÷ (1/12) = (3/10) * (12/1) = 36/10 = 3.6 meters per hour.

Tags

CCSS.7.RP.A.1

Front

What is the unit price?

Back

The unit price is the cost per single unit of measure, such as price per ounce or price per pound, which helps compare prices of different products.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the total number of units. For example, if Oreos cost $2.98 for 15.5 oz, the unit price is $2.98 ÷ 15.5 oz = $0.192 per oz.

Tags

CCSS.6.RP.A.3B

Front

What is the formula for calculating the cost per pound?

Back

The formula for calculating the cost per pound is: Total Cost ÷ Total Weight in Pounds.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Will spent $3.75 for 3 pounds of granola, what is the cost per pound?

Back

To find the cost per pound, divide the total cost by the total weight: $3.75 ÷ 3 pounds = $1.25 per pound.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine which product is a better deal based on unit price?

Back

Compare the unit prices of each product. The product with the lower unit price is the better deal.

Tags

CCSS.6.RP.A.3B