Mixed Operations
Improper Fraction to Mixed Number
Comparisons
Mixed Operations
Mixed Operations
100

Josef has 2 2/3 bags of popcorn. Edo has 1 3/4 bags of popcorn. How much do they have together?

"Together" indicates we add. 

4 5/12 

100

11/6

1 5/6 

100

Which expressions have a product less than 5 ? Explain why. 

a. 5 x 1/2

b. 5 x 7/5

c. 5 x 7/7 

d. 5 x 3/4


A & D 

100

Edrik has 5/8 of a pizza to share equally between 7 people. How much does each person receive? 

5/56
100

Before she went to the hairdresser, Sheila's hair was 7 1/12 inches long. When she left the salon, it was 5 1/12 inches long. How much of her hair did Sheila cut off?

You are looking for the difference in how long her hair was and how long it is now.

Answer: 2 inches.

200

Jennifer's family has to travel 78 1/5 miles to see her grandmother. They have already traveled 32  miles. How much farther do they have to go?

You need to subtract. "How much farther" indicated you were looking for the difference in how far they have to go and how far they had already gone. A difference is an answer to a subtraction problem! 

Answer: 46 1/5!

200

13/4

3 1/4


200

Identify a fraction that can be multiplied by 5 that results in a product equal to 5

any fraction equal to one whole (the fraction must have the same numerator and denominator) 

200

Kaya had 3 2/8 minutes to get her work done. She wasted 1 3/4 minutes talking. How much time did she have left to complete her work?

1 1/2

200

5 3/6 + 8 4/6

14 1/6

300

Tanya had 10 pieces of wood. She cut 2 1/3. How much does she have left?

"Have left" tells us that we are subtracting. 


Answer: 7 2/3

300

20/10

2

300

Identify a fraction that can be multiplied by 7 that results in a product more than 7 

Any improper fraction  

300

Ben and Daniel wanted to see who was taller. They had their mom measure their heights with a yardstick. Ben was 52 3/8 inches tall, and Daniel was 48 1/8 inches tall. How much taller is Ben than Daniel?

Subtract. "How much taller," indicates we are looking for a difference. Answer: 4 2/8

300

A pot holds 10 1/4 cups of chili.  Each portion is 3/4 cup.  Tyler ate one bowl. How much chili was left


9 2/4 

Bonus if you can identify an equivalent fraction for 2/4 

400

Name a fraction that can be multiplied by 5 that results in a product less than 5 

Any fraction that is a piece of a whole 

400

7/2

3 1/2

400

Which expressions have a product greater than 5 ? Explain why. 

a. 5 x 3/2

b. 5 x 2/5

c. 5 x 9/7 

d. 5 x 4/4

A & C

400

The Adams family stopped to fill up their car after 3 7/12 hours. If the entire trip is 9 4/12 hours. How many hours do they have left?

5 9/12 

400

If one batch of cookies calls for 1 2/3 cups flour, how much flour will you need for 8 batches?

13 1/3

500

Sallie is making smoothies for her 5 friends. If each smoothie calls for 2 3/8 cups of milk, how much milk is needed? 

95/8 or 11 7/8

500

66/9

7 3/9

500

Which is larger 7/4 or 8/4?


Explain why?

8/4 because it is equal to 2 wholes. 

500

6 - 3 3/4

2 1/4

500

Bev wants to make 2 1/2 recipes of play clay for her daughter's birthday party. If each recipe calls for 3  teaspoons of salt, how much salt will she need?

7 1/2

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