Unit Rate and Complex Fractions

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.

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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, ensuring the second quantity is 1.

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both contain fractions.

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 Ernie travels 195 miles in 3 hours, what is his speed in miles per hour?

Back

Ernie's speed is 65 miles per hour (195 miles ÷ 3 hours).

Front

If it snows 14 inches in 5 hours, how do you find the unit rate of snowfall?

Back

Divide the total inches of snow (14) by the total hours (5) to find the unit rate: 14 ÷ 5 = 2.8 inches per hour.

Front

How much does 1 pound of hamburger cost if 3 pounds cost $6?

Back

1 pound of hamburger costs $2 (divide $6 by 3 pounds).

Front

What is the formula to find the total cost when buying in bulk?

Back

Total Cost = (Cost per unit) × (Number of units purchased).

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Back

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator and express it as a rate per 1.