Complex Fractions and Unit Rates

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both are also 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

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

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

Back

Divide the total cost by the quantity to find the cost per unit.

Front

If Joe runs 3 2/5 miles in 7/8 of an hour, how do you calculate his speed?

Back

Convert 3 2/5 to an improper fraction (17/5), then divide by 7/8 to find speed in miles per hour.

Front

What is the formula for speed?

Back

Speed = Distance / Time.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you find the unit rate of miles per hour?

Back

Divide the total miles traveled by the total hours taken.

Front

What is the simplified form of 9/40?

Back

9/40 is already in its simplest form.