Add, subtract, multiply, or divide fractions worksheet | Live ... - Free Printable

Let’s solve each problem step by step. We’ll do addition/subtraction first, then multiplication — and always reduce to lowest terms.

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Add or subtract as indicated. Reduce to lowest terms.

1. 12/17 + 3/17
Same denominator → add numerators:
12 + 3 = 15 → 15/17
Already in lowest terms (15 and 17 share no common factors).
✔ Answer: 15/17

2. 8/11 - 5/11
Same denominator → subtract numerators:
8 - 5 = 3 → 3/11
Already reduced.
✔ Answer: 3/11

3. 11/12 + 1/12
Same denominator → 11 + 1 = 12 → 12/12
12/12 = 1
✔ Answer: 1

4. 7/16 - 5/16
7 - 5 = 2 → 2/16
Reduce: divide numerator and denominator by 2 → 1/8
✔ Answer: 1/8

5. 7/10 + 2/10 + 8/10
All same denominator → 7 + 2 + 8 = 17 → 17/10
This is an improper fraction. Can leave as is or write as mixed number:
17 ÷ 10 = 1 with remainder 7 → 1 7/10
But since instructions say “reduce to lowest terms”, and 17/10 is already reduced, either form is acceptable. Let’s keep it as 17/10 unless specified otherwise.
✔ Answer: 17/10 (or 1 7/10)

6. 7/9 - 2/3
Different denominators! Need common denominator.
LCM of 9 and 3 is 9.
Convert 2/3 to ninths: 2/3 = 6/9
Now: 7/9 - 6/9 = 1/9
✔ Answer: 1/9

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Multiply. Reduce to lowest terms.

7. 1/2 × 3/4
Multiply straight across:
(1×3)/(2×4) = 3/8
Already reduced.
✔ Answer: 3/8

8. 15/4 • 12/5
Note: “•” means multiply.
(15 × 12) / (4 × 5) = 180 / 20
Simplify: divide numerator and denominator by 20 → 180÷20=9, 20÷20=1 → 9/1 = 9
Alternatively, cancel before multiplying:
15 and 5 → 15÷5=3, 5÷5=1
12 and 4 → 12÷4=3, 4÷4=1
So: (3/1) × (3/1) = 9
✔ Answer: 9

9. 2/3 × 2/5
(2×2)/(3×5) = 4/15
Already reduced.
✔ Answer: 4/15

10. 6 × 2/3
Write 6 as 6/1 → (6/1) × (2/3) = (6×2)/(1×3) = 12/3 = 4
Or: 6 ÷ 3 = 2, then 2 × 2 = 4
✔ Answer: 4

11. 7/10 × 1/2
(7×1)/(10×2) = 7/20
Already reduced.
✔ Answer: 7/20

12. 2/3 × 3/4
(2×3)/(3×4) = 6/12
Reduce: divide numerator and denominator by 6 → 1/2
Or cancel before: 3 in top and bottom cancels → (2/1) × (1/4) = 2/4 = 1/2
✔ Answer: 1/2

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Final Answer:

Add/Subtract Section:
- 12/17 + 3/17 = 15/17
- 8/11 - 5/11 = 3/11
- 11/12 + 1/12 = 1
- 7/16 - 5/16 = 1/8
- 7/10 + 2/10 + 8/10 = 17/10 (or 1 7/10)
- 7/9 - 2/3 = 1/9

Multiply Section:
- 1/2 × 3/4 = 3/8
- 15/4 • 12/5 = 9
- 2/3 × 2/5 = 4/15
- 6 × 2/3 = 4
- 7/10 × 1/2 = 7/20
- 2/3 × 3/4 = 1/2