Fractions Worksheets Grade 7 - Math Monks - Free Printable

Let’s solve each fraction addition problem step by step. We’ll find a common denominator, add the numerators, and simplify if needed.

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Problem 1: 9/14 + 4/12

Step 1: Simplify 4/12 → 1/3
Now we have: 9/14 + 1/3

Step 2: Find LCD of 14 and 3 → 42
Convert:
9/14 = (9×3)/(14×3) = 27/42
1/3 = (1×14)/(3×14) = 14/42

Step 3: Add → 27/42 + 14/42 = 41/42
→ Already simplified.

✔ Answer: 41/42

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Problem 2: 6/16 + 7/12

Step 1: Simplify 6/16 → 3/8
Now: 3/8 + 7/12

Step 2: LCD of 8 and 12 → 24
Convert:
3/8 = 9/24
7/12 = 14/24

Step 3: Add → 9/24 + 14/24 = 23/24
→ Already simplified.

✔ Answer: 23/24

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Problem 3: 5/24 + 6/10

Step 1: Simplify 6/10 → 3/5
Now: 5/24 + 3/5

Step 2: LCD of 24 and 5 → 120
Convert:
5/24 = 25/120
3/5 = 72/120

Step 3: Add → 25/120 + 72/120 = 97/120
→ Already simplified.

✔ Answer: 97/120

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Problem 4: 11/25 + 3/10

Step 1: LCD of 25 and 10 → 50
Convert:
11/25 = 22/50
3/10 = 15/50

Step 2: Add → 22/50 + 15/50 = 37/50
→ Already simplified.

✔ Answer: 37/50

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Problem 5: 9/8 + 3/10

Step 1: LCD of 8 and 10 → 40
Convert:
9/8 = 45/40
3/10 = 12/40

Step 2: Add → 45/40 + 12/40 = 57/40
→ Improper fraction → convert to mixed number: 1 17/40

✔ Answer: 1 17/40

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Problem 6: 4/5 + 15/36

Step 1: Simplify 15/36 → divide numerator and denominator by 3 → 5/12
Now: 4/5 + 5/12

Step 2: LCD of 5 and 12 → 60
Convert:
4/5 = 48/60
5/12 = 25/60

Step 3: Add → 48/60 + 25/60 = 73/60
→ Mixed number: 1 13/60

✔ Answer: 1 13/60

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Problem 7: 6/8 + 7/9

Step 1: Simplify 6/8 → 3/4
Now: 3/4 + 7/9

Step 2: LCD of 4 and 9 → 36
Convert:
3/4 = 27/36
7/9 = 28/36

Step 3: Add → 27/36 + 28/36 = 55/36
→ Mixed number: 1 19/36

✔ Answer: 1 19/36

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Problem 8: 15/16 + 3/5

Step 1: LCD of 16 and 5 → 80
Convert:
15/16 = 75/80
3/5 = 48/80

Step 2: Add → 75/80 + 48/80 = 123/80
→ Mixed number: 1 43/80

✔ Answer: 1 43/80

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Problem 9: 18/20 + 12/45

Step 1: Simplify both fractions
18/20 → divide by 2 → 9/10
12/45 → divide by 3 → 4/15
Now: 9/10 + 4/15

Step 2: LCD of 10 and 15 → 30
Convert:
9/10 = 27/30
4/15 = 8/30

Step 3: Add → 27/30 + 8/30 = 35/30
→ Simplify: divide by 5 → 7/6 → mixed number: 1 1/6

✔ Answer: 1 1/6

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Problem 10: 4/52 + 7/39

Step 1: Simplify 4/52 → divide by 4 → 1/13
Now: 1/13 + 7/39

Step 2: LCD of 13 and 39 → 39 (since 39 = 13×3)
Convert:
1/13 = 3/39
7/39 stays same

Step 3: Add → 3/39 + 7/39 = 10/39
→ Already simplified.

✔ Answer: 10/39

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Problem 11: 3/56 + 9/72

Step 1: Simplify 9/72 → divide by 9 → 1/8
Now: 3/56 + 1/8

Step 2: LCD of 56 and 8 → 56 (since 56 = 8×7)
Convert:
3/56 stays same
1/8 = 7/56

Step 3: Add → 3/56 + 7/56 = 10/56
→ Simplify: divide by 2 → 5/28

✔ Answer: 5/28

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Problem 12: 7/32 + 12/28

Step 1: Simplify 12/28 → divide by 4 → 3/7
Now: 7/32 + 3/7

Step 2: LCD of 32 and 7 → 224 (32×7)
Convert:
7/32 = (7×7)/224 = 49/224
3/7 = (3×32)/224 = 96/224

Step 3: Add → 49/224 + 96/224 = 145/224
→ Check if simplifiable: GCF of 145 and 224?
145 = 5×29; 224 = 32×7 → no common factors → already simplified.

✔ Answer: 145/224

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Final Answer:
1. 41/42
2. 23/24
3. 97/120
4. 37/50
5. 1 17/40
6. 1 13/60
7. 1 19/36
8. 1 43/80
9. 1 1/6
10. 10/39
11. 5/28
12. 145/224