Improper Fractions & Mixed Numbers
Word Problems
Misc
100

Write 2 5/6 as an improper fraction. 

6x2 = 12 + 5 = 17; 17/6

100

On Monday Miles napped for 3 3/4 hours.

On Tuesday Miles napped for 1 1/4 hours less.

How long did Miles nap on Tuesday?

3 3/4 - 1 1/4 = 2 2/4 = 2 1/2

100

What is the missing number?  2/5 = ?/10

4 (5 x 2 = 10; 2 x 2 = 4)

2/5 = 4/10

200

Write 3 2/3 as an improper fraction.

3x3=9+2=11; 11/3

3/3 + 3/3 + 3/3 + 2/3 = 11/3

200

There are 6 students in an art class. Each student uses 2/3 of a bottle of glue. How many bottles of glue do they use in all?

4

6 x 2 = 12/3 = 4

200

How many thirds are there in 2 2/3? 

8. 3/3 + 3/3 + 2/3 = 8/3.

300

Write 32/5 as a mixed number. 

5x6=30; 32-30 = 2

6 2/5

300

Mrs. Troxel baked a cake. She ate 2/12 slices of cake. Her brother ate 4/12 slices of the same cake. What fraction of the cake did they eat in all?

6/12 = 1/2

300

Which numbers show a correct comparison?

A. 2/5 > 3/4

B. 1/8 > 1/8

C. 3/8 > 3/5

D. 2/6 = 1/3

D. 2/6 = 1/3


400

Write 27/9 as a mixed number.

3

400

Mr. Troxel mixed 5/7 cup of berries and 4/7 cup of bananas to make some smoothie. He wants to use at least a cup of fruit in his smoothie. Does Mr. Troxel have enough fruit? Explain.

Yes. 5/7 + 4/7 = 9/7

9/7 > 7/7

400

3/7 x 11 = ?

33/7 = 7/7 + 7/7 + 7/7 + 7/7 + 5/7 = 4 5/7

500

Write 56/3 as a mixed number. 

3 x 18 = 54; 56-54 = 2

18 2/3

500

Mr. Troxel buys 2 1/2 lbs of meat. He used 3/4 lb to make dinner. He needs 1 1/2 lbs of meat to make soup the next day.

• How much meat does Mr. Troxel have left after making dinner? Give your answer as a fraction in simplest form.

• Does he have enough meat to make the soup?

1 3/4 left over.

Yes, he only needs 1 1/2 and he has 1 3/4.

500

Write 2 equivalent fractions for 4/5.

4/5 x 2 = 8/10

4/5 x 3 = 12/15

4x5 x 4 = 16/20

M
e
n
u