Unit Rate With Complex Fractions Review

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 60 miles in 1 hour, the unit rate is 60 miles per hour.

Front

How do you find the unit rate from a given quantity?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if a pump moves 42 gallons in 7 minutes, the unit rate is 42 ÷ 7 = 6 gallons per minute.

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 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 the formula to convert pints per minute to pints per hour?

Back

To convert pints per minute to pints per hour, multiply the rate in pints per minute by 60.

Front

If a worker collects 3 pints every 4 minutes, how many pints does he collect in 1 hour?

Back

He collects 3 pints every 4 minutes, so in 60 minutes, he collects (60 ÷ 4) * 3 = 45 pints.

Front

How do you calculate speed in miles per hour?

Back

Speed in miles per hour is calculated by dividing the distance traveled in miles by the time taken in hours.

Front

If Sarah covers 5 3/4 miles in 1/3 of an hour, what is her speed?

Back

To find her speed, convert 5 3/4 to an improper fraction (23/4) and divide by 1/3: (23/4) ÷ (1/3) = (23/4) * (3/1) = 69/4 = 17 1/4 miles per hour.

Front

What is the process to convert mixed numbers to improper fractions?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

How do you find the rate of distance traveled in a given time?

Back

To find the rate of distance traveled, divide the total distance by the total time taken.