Improper Fractions and Mixed Numbers
Simplifying
Multiplying
Dividing
Word Problems
100

15/7

2 1/7

100

3/9

1/3

100

1/8 • 5/7

5/56

100

1/9 ÷ 2/5

5/18

100

1/3 OF 24 students have a dog. How many students have a dog? 

1/3 • 24 = 8 students 

200

12/5

2 2/5

200

8/20

2/5

200

3/10 • 4/5

6/25

200

5 ÷ 1/3

15

200

You have 5/7 of a tray of cookies left over from a party. You eat 1/2 of the remaining cookies. What fraction of the original tray do you eat? 

1/2 OF 5/7 = 1/2 • 5/7 = 5/14 of the original tray of cookies

300

4 1/4

17/4

300

12/8

3/2 or 1 1/2

300

2 2/3 • 4/5

32/15 or 2 2/15

300
8/9 ÷ 4/15

10/3 or 3 1/3

300

A box contains 10 cups of pancake mix. You use 2/3 cup each time you make pancakes. How many times can you make pancakes? 

10 ÷ 2/3 = 15 times

400

8 4/7

60/7

400

180/6

30

400

6/25 • 4 4/9

16/15 or 1 1/15

400

1 2/5 ÷ 4/7

49/20 or 2 9/20

400

5/8 of the cars that drive down Woodland Ave are blue. 4/10 of the cars that go by are silver.  How many times more blue cars than silver cars go by? 

5/8 ÷ 4/10 = 25/6 = 1 9/16 times

500

4 1/8

33/8

500

9 9/99

9 1/11

500

2 7/10 • 5 1/3

72/5 or 14 2/5

500

5 5/8 ÷ 3 3/4

3/2 or 1 1/2

500

I have 4 1/3 feet of ribbon to use in wrapping presents. If each present requires 1/2 foot of ribbon to wrap, how many presents can I wrap? 

4 1/3 ÷ 1/2 = 26/3 = 8 2/3

8 presents

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