Rates with Complex Fractions

Joe can run 3 2/5 miles in 7/8 of an hour. What is his speed in miles per hour?

• 3  9/13 mph

• 119/40 mph

• 3  31/35 mph

• 35/136 mph 

A truck driver drove 120 miles in 1  3/4 hours. What is the speed of the truck in miles per hour? 

• 68  4/7  mph

• 210  mph 

• 75 mph 

• 67  4/5  mph 

Simplify the complex fraction shown.

• 9/40

• 40/9

• 10/36

• 5/18

Paige mows 1/6 of an acre in 1/4 hour. How many acres does Paige mow per hour?

• 6/4

• 2/3

• 2

• 3

Choose the correct complex fraction that represents the problem:

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• 
• 
• 

Match the following:

• A ratio that compares quantities of different kinds of units.

• Complex Fraction

• Compares two quantities such as part to part, part to whole, or whole to part.

• Unit Rate

• A fraction where the numerator, the denominator or both contain a fraction.

• Rate

• A rate that has a denominator of one.

  Found by dividing the numerator by the denominator.

• Ratio

Simplify the complex fraction.

• 82

• 1/82

• 41/50

• 50/41

Simplify the complex fraction.

• 18

• 1/18

• 9/72

• 1/8

Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?

• 2  ac./hr.

• 1/2  ac./hr.

• 9/24  ac./hr.

Find the unit rate.
Hannah reads  5/ 8 page in 2/3 minute

• 15/16 pages per minute

• 10/24 pages per minute

• 5/8 pages per minute

• 16/15 pages per minute