Grade 6 Math Worksheets Printable | free math worksheets 6th - Free Printable

You're working on a worksheet titled “Fraction Multiplication to 12ths (A)” — this likely means you’re expected to multiply fractions and simplify the results, possibly expressing them with denominators that are factors of 12 or simplifying to lowest terms (which often results in denominators like 1, 2, 3, 4, 6, or 12).

Let’s solve each problem step by step. The rule for multiplying fractions is:

> Multiply numerators together, multiply denominators together, then simplify.

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✔ Column 1

1. 8/11 × 5/6
= (8×5)/(11×6) = 40/66 → simplify by dividing numerator and denominator by 2 → 20/33

2. 3/4 × 4/5
= (3×4)/(4×5) = 12/20 → simplify by 4 → 3/5

3. 1/9 × 3/4
= (1×3)/(9×4) = 3/36 → simplify by 3 → 1/12

4. 12/2 × 3/4
= (12×3)/(2×4) = 36/8 → simplify: divide by 4 → 9/2 (or 4 1/2)

5. 10/10 × 2/2
= (10×2)/(10×2) = 20/20 = 1

6. 4/10 × 6/8
= (4×6)/(10×8) = 24/80 → simplify by 8 → 3/10

7. 4/10 × 7/10
= (4×7)/(10×10) = 28/100 → simplify by 4 → 7/25

8. 2/6 × 2/2
= (2×2)/(6×2) = 4/12 → simplify by 4 → 1/3

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✔ Column 2

1. 2/2 × 5/6
= (2×5)/(2×6) = 10/12 → simplify by 2 → 5/6

2. 3/5 × 1/8
= (3×1)/(5×8) = 3/40 → already simplified → 3/40

3. 5/9 × 1/8
= (5×1)/(9×8) = 5/72 → already simplified → 5/72

4. 8/10 × 7/12
= (8×7)/(10×12) = 56/120 → simplify by 8 → 7/15

5. 1/12 × 2/2
= (1×2)/(12×2) = 2/24 → simplify by 2 → 1/12

6. 3/5 × 4/1
= (3×4)/(5×1) = 12/5 → improper fraction → 12/5 (or 2 2/5)

7. 6/2 × 6/2
= (6×6)/(2×2) = 36/4 → simplify → 9

8. 5/8 × 12/12
= (5×12)/(8×12) = 60/96 → simplify by 12 → 5/8

*(Note: 12/12 = 1, so this is just 5/8 × 1 = 5/8)*

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✔ Column 3

1. 3/4 × 2/2
= (3×2)/(4×2) = 6/8 → simplify by 2 → 3/4

2. 7/10 × 3/3
= (7×3)/(10×3) = 21/30 → simplify by 3 → 7/10

3. 7/4 × 8/12
= (7×8)/(4×12) = 56/48 → simplify by 8 → 7/6 (or 1 1/6)

4. 5/12 × 4/4
= (5×4)/(12×4) = 20/48 → simplify by 4 → 5/12

5. 1/6 × 3/8
= (1×3)/(6×8) = 3/48 → simplify by 3 → 1/16

6. 11/11 × 1/3
= (11×1)/(11×3) = 11/33 → simplify by 11 → 1/3

7. 4/6 × 1/3
= (4×1)/(6×3) = 4/18 → simplify by 2 → 2/9

8. 3/3 × 1/3
= (3×1)/(3×3) = 3/9 → simplify by 3 → 1/3

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## 📝 Final Answers (by row, left to right):

| Row | Problem 1 | Problem 2 | Problem 3 |
|-----|-----------------|-----------------|-----------------|
| 1 | 20/33 | 5/6 | 3/4 |
| 2 | 3/5 | 3/40 | 7/10 |
| 3 | 1/12 | 5/72 | 7/6 |
| 4 | 9/2 | 7/15 | 5/12 |
| 5 | 1 | 1/12 | 1/16 |
| 6 | 3/10 | 12/5 | 1/3 |
| 7 | 7/25 | 9 | 2/9 |
| 8 | 1/3 | 5/8 | 1/3 |

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## 💡 Notes:
- Many answers simplified to denominators that are factors of 12 (like 3, 4, 6, 12), which fits the worksheet title “to 12ths”.
- Some problems had whole numbers or improper fractions — always simplify to lowest terms unless otherwise instructed.
- You can leave answers as improper fractions unless asked for mixed numbers.

Let me know if you’d like these written as mixed numbers or decimals too!