Practice your skills with this bundle of problems involving positive and negative fraction operations.

You’ve uploaded an image titled “Adding and subtracting positive and negative fractions Bundle”, which contains three columns of problems (each column has 4 problems, labeled 7–11 in some cases — likely a typo or misnumbering). We’ll solve all the problems systematically and explain each step.

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## 🔢 COLUMN 1 (Left)

Problem 8:

−3/5 + 1/4

✔ Step 1: Find LCD of 5 and 4 → 20

✔ Step 2: Convert fractions:
- −3/5 = −12/20
- 1/4 = 5/20

✔ Step 3: Add:
−12/20 + 5/20 = −7/20

✔ Answer: −7/20

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Problem 9:

−1/6 − 3/10

✔ Step 1: LCD of 6 and 10 → 30

✔ Step 2: Convert:
- −1/6 = −5/30
- 3/10 = 9/30 → so −3/10 = −9/30

✔ Step 3: Subtract (remember: −a − b = −(a + b)):
−5/30 − 9/30 = −14/30

✔ Simplify: divide numerator and denominator by 2 → −7/15

✔ Answer: −7/15

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Problem 10:

−2/3 − (−3/4)

✔ Remember: minus a negative is plus!
→ −2/3 + 3/4

✔ LCD of 3 and 4 → 12

✔ Convert:
- −2/3 = −8/12
- 3/4 = 9/12

✔ Add: −8/12 + 9/12 = 1/12

✔ Answer: 1/12

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Problem 11:

−(−1/2) + 4/7

✔ Minus a negative → positive:
→ 1/2 + 4/7

✔ LCD of 2 and 7 → 14

✔ Convert:
- 1/2 = 7/14
- 4/7 = 8/14

✔ Add: 7/14 + 8/14 = 15/14

✔ Can be written as mixed number: 1 1/14

✔ Answer: 15/14 or 1 1/14

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## 🔢 COLUMN 2 (Middle)

Problem 8:

−2/5 + 3/8

✔ LCD of 5 and 8 → 40

✔ Convert:
- −2/5 = −16/40
- 3/8 = 15/40

✔ Add: −16/40 + 15/40 = −1/40

✔ Answer: −1/40

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Problem 9:

−(−4/7) + 3/10

✔ Minus a negative → positive:
→ 4/7 + 3/10

✔ LCD of 7 and 10 → 70

✔ Convert:
- 4/7 = 40/70
- 3/10 = 21/70

✔ Add: 40/70 + 21/70 = 61/70

✔ Answer: 61/70

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Problem 10:

−1/15 + 2/9

✔ LCD of 15 and 9 → 45

✔ Convert:
- −1/15 = −3/45
- 2/9 = 10/45

✔ Add: −3/45 + 10/45 = 7/45

✔ Answer: 7/45

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Problem 11:

−3/8 − (−1/3)

✔ Minus a negative → plus:
→ −3/8 + 1/3

✔ LCD of 8 and 3 → 24

✔ Convert:
- −3/8 = −9/24
- 1/3 = 8/24

✔ Add: −9/24 + 8/24 = −1/24

✔ Answer: −1/24

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## 🔢 COLUMN 3 (Right)

*(Note: Problems are labeled 7, 8, 9, 10 — we’ll follow that order.)*

Problem 7:

−2/5 + 3/4

✔ LCD of 5 and 4 → 20

✔ Convert:
- −2/5 = −8/20
- 3/4 = 15/20

✔ Add: −8/20 + 15/20 = 7/20

✔ Answer: 7/20

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Problem 8:

1/6 − 2/9

✔ LCD of 6 and 9 → 18

✔ Convert:
- 1/6 = 3/18
- 2/9 = 4/18

✔ Subtract: 3/18 − 4/18 = −1/18

✔ Answer: −1/18

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Problem 9:

−(−2/9) + 3/7

✔ Minus a negative → positive:
→ 2/9 + 3/7

✔ LCD of 9 and 7 → 63

✔ Convert:
- 2/9 = 14/63
- 3/7 = 27/63

✔ Add: 14/63 + 27/63 = 41/63

✔ Answer: 41/63

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Problem 10:

−1/12 + 3/8

✔ LCD of 12 and 8 → 24

✔ Convert:
- −1/12 = −2/24
- 3/8 = 9/24

✔ Add: −2/24 + 9/24 = 7/24

✔ Answer: 7/24

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## ✔ FINAL ANSWERS SUMMARY:

Column 1:

8. −7/20
9. −7/15
10. 1/12
11. 15/14 (or 1 1/14)

Column 2:

8. −1/40
9. 61/70
10. 7/45
11. −1/24

Column 3:

7. 7/20
8. −1/18
9. 41/63
10. 7/24

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## 🧠 Key Concepts Used:

- LCD (Least Common Denominator) – needed to add/subtract fractions.
- Negative signs:
- `−a + b = b − a`
- `−a − b = −(a + b)`
- `−(−a) = +a`
- Simplifying fractions – always reduce to lowest terms if possible.

Let me know if you’d like these explained with visual diagrams or practice worksheets! 😊