Worksheet

Instructions: Solve the following problems. Show your work and simplify your answers wherever possible.

Part 1: Adding Fractions with Unlike Denominators

1. Add the following fractions: 1/3 + 1/4

2. Add the following fractions: 2/5 + 1/6

3. Add the following fractions: 3/8 + 2/5

4. Add the following fractions: 4/9 + 5/12

5. Add the following fractions: 7/10 + 3/8

6. Add the following fractions: 2/3 + 5/7 + 1/4

7. Add the following fractions: 5/6 + 2/3 + 4/5

8. Add the following fractions: 3/7 + 4/9 + 1/3

9. Add the following fractions: 1/2 + 2/3 + 3/4 + 4/5

10. Add the following fractions: 2/5 + 1/6 + 3/8 + 5/12

Part 2: Subtracting Fractions with Unlike Denominators

1. Subtract the following fractions: 3/4 – 1/3

2. Subtract the following fractions: 5/6 – 2/3

3. Subtract the following fractions: 7/8 – 2/5

4. Subtract the following fractions: 4/5 – 1/2

5. Subtract the following fractions: 9/10 – 3/8

6. Subtract the following fractions: 2/3 – 1/4 – 1/7

7. Subtract the following fractions: 4/5 – 2/3 – 1/2

8. Subtract the following fractions: 3/4 – 1/3 – 1/5

9. Subtract the following fractions: 1/2 – 1/3 – 1/4 – 1/5

10. Subtract the following fractions: 5/6 – 2/3 – 3/8 – 1/4

Part 3: Adding and Subtracting Mixed Numbers with Unlike Denominators

1. Add the following mixed numbers: 1 1/3 + 2 1/4

2. Add the following mixed numbers: 2 2/5 + 1 1/6

3. Add the following mixed numbers: 3 3/8 + 2 2/5

4. Add the following mixed numbers: 4 4/9 + 5 1/12

5. Add the following mixed numbers: 1 7/10 + 2 3/8

6. Subtract the following mixed numbers: 3 1/4 – 1 3/5

7. Subtract the following mixed numbers: 4 3/5 – 2 1/3

8. Subtract the following mixed numbers: 5 2/3 – 2 1/4

9. Subtract the following mixed numbers: 6 3/4 – 3 2/5

10. Subtract the following mixed numbers: 7 1/5 – 2 7/8