Fraction multiplication worksheet with 18 problems to solve and reduce to lowest terms.

Let's solve each of these fraction multiplication problems step by step, reducing the answers to lowest terms.

---

1. $ \frac{2}{3} \times \frac{1}{6} $

Multiply numerators: $ 2 \times 1 = 2 $
Multiply denominators: $ 3 \times 6 = 18 $
So, $ \frac{2}{18} $ → Reduce: divide numerator and denominator by 2 → $ \frac{1}{9} $

✔ Answer: $ \frac{1}{9} $

---

2. $ \frac{2}{5} \times \frac{5}{8} $

$ 2 \times 5 = 10 $, $ 5 \times 8 = 40 $ → $ \frac{10}{40} $
Reduce: divide by 10 → $ \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

---

3. $ \frac{3}{4} \times \frac{4}{7} $

$ 3 \times 4 = 12 $, $ 4 \times 7 = 28 $ → $ \frac{12}{28} $
Reduce: divide by 4 → $ \frac{3}{7} $

✔ Answer: $ \frac{3}{7} $

---

4. $ \frac{2}{3} \times \frac{3}{7} $

$ 2 \times 3 = 6 $, $ 3 \times 7 = 21 $ → $ \frac{6}{21} $
Reduce: divide by 3 → $ \frac{2}{7} $

✔ Answer: $ \frac{2}{7} $

---

5. $ \frac{1}{2} \times \frac{3}{4} $

$ 1 \times 3 = 3 $, $ 2 \times 4 = 8 $ → $ \frac{3}{8} $

✔ Answer: $ \frac{3}{8} $

---

6. $ \frac{1}{6} \times \frac{4}{5} $

$ 1 \times 4 = 4 $, $ 6 \times 5 = 30 $ → $ \frac{4}{30} $
Reduce: divide by 2 → $ \frac{2}{15} $

✔ Answer: $ \frac{2}{15} $

---

7. $ \frac{2}{7} \times \frac{3}{4} $

$ 2 \times 3 = 6 $, $ 7 \times 4 = 28 $ → $ \frac{6}{28} $
Reduce: divide by 2 → $ \frac{3}{14} $

✔ Answer: $ \frac{3}{14} $

---

8. $ \frac{1}{3} \times \frac{1}{8} $

$ 1 \times 1 = 1 $, $ 3 \times 8 = 24 $ → $ \frac{1}{24} $

✔ Answer: $ \frac{1}{24} $

---

9. $ \frac{1}{7} \times \frac{3}{4} $

$ 1 \times 3 = 3 $, $ 7 \times 4 = 28 $ → $ \frac{3}{28} $

✔ Answer: $ \frac{3}{28} $

---

10. $ \frac{3}{4} \times \frac{2}{5} $

$ 3 \times 2 = 6 $, $ 4 \times 5 = 20 $ → $ \frac{6}{20} $
Reduce: divide by 2 → $ \frac{3}{10} $

✔ Answer: $ \frac{3}{10} $

---

11. $ \frac{1}{8} \times \frac{2}{3} $

$ 1 \times 2 = 2 $, $ 8 \times 3 = 24 $ → $ \frac{2}{24} $
Reduce: divide by 2 → $ \frac{1}{12} $

✔ Answer: $ \frac{1}{12} $

---

12. $ \frac{2}{5} \times \frac{2}{3} $

$ 2 \times 2 = 4 $, $ 5 \times 3 = 15 $ → $ \frac{4}{15} $

✔ Answer: $ \frac{4}{15} $

---

13. $ \frac{5}{8} \times \frac{2}{5} $

$ 5 \times 2 = 10 $, $ 8 \times 5 = 40 $ → $ \frac{10}{40} $
Reduce: divide by 10 → $ \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

---

14. $ \frac{3}{4} \times \frac{4}{7} $

$ 3 \times 4 = 12 $, $ 4 \times 7 = 28 $ → $ \frac{12}{28} $
Reduce: divide by 4 → $ \frac{3}{7} $

✔ Answer: $ \frac{3}{7} $

---

15. $ \frac{2}{3} \times \frac{7}{8} $

$ 2 \times 7 = 14 $, $ 3 \times 8 = 24 $ → $ \frac{14}{24} $
Reduce: divide by 2 → $ \frac{7}{12} $

✔ Answer: $ \frac{7}{12} $

---

16. $ \frac{3}{8} \times \frac{3}{7} $

$ 3 \times 3 = 9 $, $ 8 \times 7 = 56 $ → $ \frac{9}{56} $

✔ Answer: $ \frac{9}{56} $

---

17. $ \frac{5}{6} \times \frac{2}{5} $

$ 5 \times 2 = 10 $, $ 6 \times 5 = 30 $ → $ \frac{10}{30} $
Reduce: divide by 10 → $ \frac{1}{3} $

✔ Answer: $ \frac{1}{3} $

---

18. $ \frac{1}{12} \times \frac{1}{3} $

$ 1 \times 1 = 1 $, $ 12 \times 3 = 36 $ → $ \frac{1}{36} $

✔ Answer: $ \frac{1}{36} $

---

✔ Final Answers:

1. $ \frac{1}{9} $
2. $ \frac{1}{4} $
3. $ \frac{3}{7} $
4. $ \frac{2}{7} $
5. $ \frac{3}{8} $
6. $ \frac{2}{15} $
7. $ \frac{3}{14} $
8. $ \frac{1}{24} $
9. $ \frac{3}{28} $
10. $ \frac{3}{10} $
11. $ \frac{1}{12} $
12. $ \frac{4}{15} $
13. $ \frac{1}{4} $
14. $ \frac{3}{7} $
15. $ \frac{7}{12} $
16. $ \frac{9}{56} $
17. $ \frac{1}{3} $
18. $ \frac{1}{36} $

---

🔍 Tips for Solving:

- Multiply numerators together.
- Multiply denominators together.
- Simplify (reduce) the resulting fraction by dividing numerator and denominator by their Greatest Common Divisor (GCD).
- You can also cancel common factors before multiplying to make calculations easier.

Let me know if you'd like a printable version or explanations with visual models!