Decomposing Fractions
Adding Mixed Numbers
Subtracting Mixed Numbers
Word Problems
100

Decompose 4/5

1/5 + 1/5 + 1/5 + 1/5

or 1/5 + 2/5 + 1/5

or 2/5 + 3/5

100

Find the sum: 

1  2/4 + 1  1/4

2  3/4

100

Find the difference:

1  2/4 - 3/4 =

3/4

100

Anthony uses 2  3/6 cups white flour and 1  5/6 cups wheat flour in a recipe. How much flour does Anthony use in all?

Remember to label your answer.

4  2/6 cups of flour

200

Decompose 7/6

1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6

or 2/6 + 2/6 + 2/6 + 1/6

or 3/6 + 3/6 + 1/6

(answers may vary)

200

Find the sum: 

3  3/8 + 2  7/8

6  2/8

200

Find the difference:

3  7/8 - 1  2/8 =

2  5/8

200

Lisa read 3  4/5 pages of her science textbook on Wednesday and 4  2/5 pages on Thursday. How many pages did Lisa read on Wednesday and Thursday combined?

8  1/5 pages

300

Decompose 1  3/4

4/4 + 4/3 

or 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4

or 2/4 + 2/4 + 2/4 + 1/4

300

Find the sum:

4  5/6 + 1  3/6

6  2/6

300

Find the difference: 

4  1/5 - 2  4/5

1  2/5

300

Trisha runs 3  4/10 miles on Saturday and she goes for a run on Sunday. If she runs a total of 7  6/10 miles during the two days, how many miles does she run on Sunday?

Label your answer.

4  2/10 miles

400

Decompose 3  2/3

3/3 + 3/3 + 3/3 + 2/3

(answers may vary)

400

Find the sum:

3  6/12 + 3  11/12

7  5/12

400
Find the difference:

4  4/10 - 3  5/10

9/10

400

Alejandro cuts 2  3/8 inches off of the width of a board that is 6  1/8 inches wide. How wide is the board after he cuts it?

3  6/8 inches

500

Decompose 18/4

4/4 + 4/4 + 4/4 + 4/4 + 2/4

(answers may vary)

500

Find the sum:

4  10/12 + 3  9/12

8  7/12

500

Find the difference:

4 - 1  5/7

2  2/7

500

Jim bikes 5 miles on Monday. He bikes 1  5/8 miles less on Tuesday. How many miles does Jim bike on Tuesday?

3  3/8 miles