Ratios, Unit Rates and Complex Fractions

Ratios

100

In a drawing, there are three circles, four stars, and three triangles. What is the ratio of stars to the total number of shapes.

What is 2/5 or 2:5 or 2to5

200

Lily blew up 7 balloons. Kathy blew up 5 balloons. What is the ratio of total balloons to Kathy's balloons?

12 to 5

300

The recipe calls for 2 eggs, 8 cups of flour, 3 teaspoons of oil, and a pinch of salt. What is the ratio of cups of flour to eggs?

4:1

400

There are 10 rabbits in a cage. The ratio of white rabbits to grey rabbits is 3:7. How many white rabbits are in the cage?

3 white rabbits

500

There are 5 mice in a cage. The ratio of pink mice to black mice is 2:3. How many black mice are in the cage?

3 mice

Unit Rates

100

Find the unit rate for: 150 miles in 6 gallons

What is 25 miles per gal

200

Find the unit rate for: 105 students in 3 classes

What is 35 students per class

300

Find the unit rate for: 8 batteries in 3 months

What is 2.67 batteries per month

400

Find the unit rate for: $99 for 12 CDs

What is $8.25 per CD

500

Choose the better buy: $21.50 for 4 pounds of lunch meat OR $15.10 for 3 pounds of lunch meat

What is $15.10 for 3 pounds of lunch meat

Complex Fractions

100

Simplify: 1/(2/5)

What is 5/2

200

Simplify 4/(5/8)

What is 32/5

300

Simplify 4/(3/8)

What is 32/3

400

Simplify 10/(5/12)

What is 24

500

Simplify 8/(3/4)

What is 32/3

Complex Fractions

100

Simplify (1/5)/(7/10)

What is 2/7

200

Simplify (2/5)/(4/9)

What is 9/10

300

Simplify (8/9)/(20)

What is 2/45

400

Simplify (5/6)/(12)

What is 5/72

500

Simplify (3/8)/(7/12)

What is 9/14

Word Problems (WOOHOO)

100

During Tracy's trip across the country, she traveled 2,884 miles. Her trip took 7 days. Find a unit rate to represent the average miles she traveled per day during the trip.

What is 412 miles per day

200

Randall recorded 8 songs on his most recent CD. The total length of the CD is 49 minutes. Find a unit rate to represent the average length per son on the CD. Round to the nearest hundredth.

What is 6.13 minutes per song

300

Last month, Hannah's dog ate 40 cans of dog food in 31 days. How many cans should Hannah buy to feed his dog for the next 6 days?

What is 8 cans

400

Caroline drove 350 miles to her grandmother's house. The trip took her 5(1/4) hours. What was her average speed in miles per hour?

What is 66(2/3) mph

500

A small airplane used 5(2/3) gallons of fuel to fly a 2 hours trip. How many gallons were used each hour?

What is 2(5/6)