Mixed division
Both are Fractions!
Word Problems
Mixed Numbers
Vocabulary
100

1/28 ÷ 14

1/392

100

4/5 ÷ 2/7 

2 4/5

100

Hudson is raking leaves to earn money. If he can rake 1 lawn in 2/3 of an hour, how many lawns can rake in 3 hours?

4 1/2 yards

100

1  1/2   ÷   4  2/8

6/17
100

What are the three short steps used to divide fractions?

Keep, Change, Flip

200

 6  1/2  ÷  34/4

13/17

200

7/8 ÷  1/10

8 3/4

200

Danica has 3/4 of a quart of paint. If it takes 2 quarts to paint one room, what fraction of a room can she paint?

3/8 of the room

200

1  8/12   ÷   3  1/4

20/39

200

1/4 ÷ 2 = 1/8 

In this problem which is the dividend?

1/4

300

3  2/3  ÷  6  1/6

22/37


300

4/9 ÷ 3/18

2 2/3

300

Alicia planted 9/10 of a packet of sunflower seeds in six equal rows. What fraction of the packet of sunflower seeds does each row contain?

3/20

300

-4  2/8   ÷   -5  1/2

17/22

300

What is the reciprocal of 3/4?

4/3 or 1  1/3

400

-3/8   ÷   72/84

-7/16

400

-15/16   ÷   -20/21

63/64

400

In an aquarium, 12/32 of the fish are clownfish. The clownfish are shared equally between nine fish tanks. What fraction of the fish in each tank are clownfish?

1/24

400

9  1/2   ÷   2  2/3

3  9/16

400

What type of fraction is 31/5? 

an improper fraction
500

9  2/5   ÷   1  1/3

7  1/20

500

7/10 ÷ -6/25

-2 11/12

500

Nico decides to type up some documents while waiting for a meeting to start. She can type 2 pages every every 1/8 hour. If the meeting started 3/4 hour later than the scheduled time, how many pages can she type before the meeting starts?

(3/4) ÷ (1/8) X 2 = 12 pages

500

-9  2/4   ÷   5  2/10

-1  43/52

500

2 ÷ 1/3 = 6 

In this problem, which number is the quotient, and which number is the divisor?

quotient = 6

divisor = 1/3

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