Math worksheet for practicing addition and subtraction of fractions with step-by-step solutions.

Let’s solve each problem step by step. We’ll find common denominators, add or subtract the fractions, simplify if needed, and convert to mixed numbers when necessary.

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1. 34/10 - 4/5

Step 1: Find common denominator.
10 and 5 → LCM is 10.

Convert 4/5 to tenths:
4/5 = (4×2)/(5×2) = 8/10

Now subtract:
34/10 - 8/10 = 26/10

Simplify:
26 ÷ 2 = 13, 10 ÷ 2 = 5 → 13/5

Convert to mixed number:
13 ÷ 5 = 2 remainder 3 → 2 3/5

✔ Final Answer for #1: 2 3/5

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2. 40/14 - 1/2

Step 1: Common denominator of 14 and 2 → 14

Convert 1/2 to fourteenths:
1/2 = (1×7)/(2×7) = 7/14

Subtract:
40/14 - 7/14 = 33/14

Simplify? 33 and 14 have no common factors → leave as is.

Convert to mixed number:
33 ÷ 14 = 2 remainder 5 → 2 5/14

✔ Final Answer for #2: 2 5/14

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3. 13/6 + 53/18

Common denominator of 6 and 18 → 18

Convert 13/6 to eighteenths:
13/6 = (13×3)/(6×3) = 39/18

Add:
39/18 + 53/18 = 92/18

Simplify: divide numerator and denominator by 2 → 46/9

Convert to mixed number:
46 ÷ 9 = 5 remainder 1 → 5 1/9

✔ Final Answer for #3: 5 1/9

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4. 1/3 + 9/6

First, simplify 9/6 → 3/2 (divide top and bottom by 3)

Now: 1/3 + 3/2

Common denominator of 3 and 2 → 6

Convert:
1/3 = 2/6
3/2 = 9/6

Add: 2/6 + 9/6 = 11/6

Convert to mixed number:
11 ÷ 6 = 1 remainder 5 → 1 5/6

✔ Final Answer for #4: 1 5/6

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5. 5/3 - 6/18

Simplify 6/18 → 1/3

Now: 5/3 - 1/3 = 4/3

Convert to mixed number:
4 ÷ 3 = 1 remainder 1 → 1 1/3

✔ Final Answer for #5: 1 1/3

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6. 14/4 - 7/8

Simplify 14/4 → 7/2 (divide by 2)

Now: 7/2 - 7/8

Common denominator of 2 and 8 → 8

Convert 7/2 to eighths:
7/2 = (7×4)/(2×4) = 28/8

Subtract: 28/8 - 7/8 = 21/8

Convert to mixed number:
21 ÷ 8 = 2 remainder 5 → 2 5/8

✔ Final Answer for #6: 2 5/8

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7. 19/5 + 7/10

Common denominator of 5 and 10 → 10

Convert 19/5 to tenths:
19/5 = (19×2)/(5×2) = 38/10

Add: 38/10 + 7/10 = 45/10

Simplify: divide by 5 → 9/2

Convert to mixed number:
9 ÷ 2 = 4 remainder 1 → 4 1/2

✔ Final Answer for #7: 4 1/2

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8. 7/4 + 6/8

Simplify 6/8 → 3/4

Now: 7/4 + 3/4 = 10/4

Simplify: divide by 2 → 5/2

Convert to mixed number:
5 ÷ 2 = 2 remainder 1 → 2 1/2

✔ Final Answer for #8: 2 1/2

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9. 4/7 + 49/14

Simplify 49/14 → divide by 7 → 7/2

Now: 4/7 + 7/2

Common denominator of 7 and 2 → 14

Convert:
4/7 = (4×2)/(7×2) = 8/14
7/2 = (7×7)/(2×7) = 49/14

Add: 8/14 + 49/14 = 57/14

Convert to mixed number:
57 ÷ 14 = 4 remainder 1 → 4 1/14

✔ Final Answer for #9: 4 1/14

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10. 5/3 - 9/18

Simplify 9/18 → 1/2

Now: 5/3 - 1/2

Common denominator of 3 and 2 → 6

Convert:
5/3 = 10/6
1/2 = 3/6

Subtract: 10/6 - 3/6 = 7/6

Convert to mixed number:
7 ÷ 6 = 1 remainder 1 → 1 1/6

✔ Final Answer for #10: 1 1/6

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Final Answer:
1. 2 3/5
2. 2 5/14
3. 5 1/9
4. 1 5/6
5. 1 1/3
6. 2 5/8
7. 4 1/2
8. 2 1/2
9. 4 1/14
10. 1 1/6