Adding and Subtracting Fractions

Problem Solving

100

Malia mixed 1/6 pound of peanuts with 1/3 pound of raisins. How much mix did Malia have in all?

3/6 , 1/2

200

Samyah did aerobics for 3/5 hour and then lifted weights for 1/3 hour. How much exercise did Samyah get?

14/15

300

Joel walked 2/5 of a mile to the store, 3/10 of a mile to the library, and 1/20 of a mile to the post office. Let x = the total distance Joel walked. How far did he walk?

15/20, 3/4

400

Midge walked 7/8 mile Monday and 4/5 mile Tuesday. Let x = how much farther she walked on Monday. How much farther did Midge walk on Monday?

3/40

500

Glenda wrote 1/7 of her paper on Monday, 1/14 of her paper on Tuesday, and 2/28 of her paper on Wednesday. She said she wrote more than half of her paper. Is she correct? Why or why not?

No, she is not correct.

Reduce Fractions (Simplest Form)

100

Reduce the fraction: 8/28

2/7

200

Reduce the fraction: 9/36

1/4

300

Write the fraction in its simplest form: 72/144

1/2

400

Write the fraction in simplest form: 5 12/8

6 1/2

500

Write the fraction in simplest form: 7 9/4

9 1/4

Estimating with Fractions

100

Estimate if the fraction is closest to 0, 1/2, or 1: 8/9

1

200

Estimate if the fraction is closest to 0, 1/2, or 1: 4/7

1/2

300

Estimate if the fractions are closest to 0, 1/2, or 1, then add or subtract: 1/4 + 5/9

1

400

Estimate if the fractions are closest to 0, 1/2, or 1, then add or subtract: 11/12 - 1/9

0

500

Estimate if the fractions are closest to 0, 1/2, or 1, then add or subtract: 2/3 + 4/5

1 1/2

Adding Fractions

100

3/8 + 3/8

6/8 = 3/4

200

2/3 + 1/6

5/6

300

2/5 + 1/2

9/10

400

5/6 + 1/4

13/12 = 1 1/12

500

3/4 + 7/8

26/16 = 1 10/16 = 1 5/8

Subtracting Fractions

100

7/8 - 5/8

2/8 = 1/4

200

7/10 - 1/2

2/10 = 1/5

300

2/3 - 1/12

7/12

400

4/6 - 1/4

5/12

500

5/6 - 3/9

9/18 = 1/2