Lesson 2.2: Unit Rates with Fractions

Lesson 2.2:

Determine Unit Rates with Fractions

Key Concept:

• In this lesson we will find unit rates using fractions and complex fractions and use unit rates to solve multi step problems.

​Complex Fraction:

​Juan travels 7 miles on 1/3 gallons of gas. What is Juan's fuel rate in miles per gallon?

Multiple Choice

Bobby travels 5 miles on 1/5 a gallon of gas. What is Bobby's miles per gallon?

• 1 miles per gallon

• 5 miles per gallon

• 10 miles per gallon

• 25 miles per gallon

Multiple Choice

Frederick travels 20 miles in a half an hour. What is Frederick's speed in miles per hour?

• 10 miles per hour

• 20 miles per hour

• 30 miles per hour

• 40 miles per hour

​A robot completes 8 tasks in 2/3 of an hour. Find out how many tasks a robot can complete in 1 hour and also find how long it takes the robot to complete 1 task.

Common Unit Conversions: Express these conversions as unit rates

​1 mile = 5280 feet.
.
.
1 yard = 3 feet
.
.
1 pint = 2 cups
.
.
1 quart = 2 pints

Multiple Choice

You travel 2.5 miles. How many feet did you travel?

(Note: 5,280 feet in a mile)

• 2112 feet

• 5,277.5 feet

• 5282.5 feet

• 13,200 feet

Multiple Choice

You have a glass that has 1.75 quarts of water. How many pints do you have?

(Note: There are 2 pints in a quart)

• 3.75 pints

• 3.5 pints

• 1.25 pints

• 0.25 pints

Multiple Choice

You have 32 cups of water. How many quarts of water do you have?

(Note: 4 cups in 1 quart of water)

• 36 quarts

• 28 quarts

• 8 quarts

• 128 quarts

​Conclusion: Write two complete sentences about what you learned.