Unit Rate/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 a quantity of one. 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 rate from a complex fraction?

Back

To calculate the unit rate from a complex fraction, divide the numerator by the denominator. For example, if you have 3/4 of a minute for 3/8 of a foot, you calculate (3/8) ÷ (3/4) = (3/8) * (4/3) = 1/2 ft/min.

Front

What is a complex fraction?

Back

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

Front

How do you convert a complex fraction to a simple fraction?

Back

To convert a complex fraction to a simple fraction, multiply the numerator by the reciprocal of the denominator. For example, (1/2)/(3/4) = (1/2) * (4/3) = 4/6 = 2/3.

Front

What is the formula to find speed?

Back

Speed is calculated using the formula: Speed = Distance ÷ Time.

Front

If a person travels 195 miles in 3 hours, how do you find their speed?

Back

To find the speed, divide the distance by the time: Speed = 195 miles ÷ 3 hours = 65 miles per hour.

Front

How do you find the total cost of multiple items given their unit price?

Back

To find the total cost, multiply the unit price by the number of items. For example, if a senior ticket costs $7.50, then 50 tickets cost 50 * $7.50 = $375.

Front

What is a unit price?

Back

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

Front

How do you compare unit prices of two products?

Back

To compare unit prices, calculate the unit price for each product and compare the values. The lower unit price indicates the better deal.

Front

What is the unit price of Oreos if they cost $2.98 for 15.5 oz?

Back

Unit price = $2.98 ÷ 15.5 oz = approximately $0.192 per oz.