Fractions worksheet for practicing division of fractions by whole numbers.

Let's solve each of these fraction division problems step by step. The general rule for dividing a fraction by a whole number is:

> To divide a fraction by a whole number, multiply the fraction by the reciprocal of the whole number.

That is:
$$
\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c}
$$

We'll apply this rule to each problem.

---

1. $ \frac{1}{4} \div 4 $

$$
= \frac{1}{4} \times \frac{1}{4} = \frac{1}{16}
$$

---

2. $ \frac{1}{3} \div 5 $

$$
= \frac{1}{3} \times \frac{1}{5} = \frac{1}{15}
$$

---

3. $ \frac{3}{4} \div 2 $

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

---

4. $ \frac{1}{8} \div 3 $

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

---

5. $ \frac{5}{6} \div 3 $

$$
= \frac{5}{6} \times \frac{1}{3} = \frac{5}{18}
$$

---

6. $ \frac{11}{12} \div 3 $

$$
= \frac{11}{12} \times \frac{1}{3} = \frac{11}{36}
$$

---

7. $ \frac{5}{10} \div 8 $

First simplify $ \frac{5}{10} = \frac{1}{2} $

$$
= \frac{1}{2} \div 8 = \frac{1}{2} \times \frac{1}{8} = \frac{1}{16}
$$

---

8. $ \frac{3}{5} \div 8 $

$$
= \frac{3}{5} \times \frac{1}{8} = \frac{3}{40}
$$

---

9. $ \frac{1}{2} \div 8 $

$$
= \frac{1}{2} \times \frac{1}{8} = \frac{1}{16}
$$

---

10. $ \frac{1}{5} \div 7 $

$$
= \frac{1}{5} \times \frac{1}{7} = \frac{1}{35}
$$

---

11. $ \frac{1}{2} \div 5 $

$$
= \frac{1}{2} \times \frac{1}{5} = \frac{1}{10}
$$

---

12. $ \frac{1}{4} \div 9 $

$$
= \frac{1}{4} \times \frac{1}{9} = \frac{1}{36}
$$

---

13. $ \frac{10}{12} \div 2 $

Simplify $ \frac{10}{12} = \frac{5}{6} $

$$
= \frac{5}{6} \div 2 = \frac{5}{6} \times \frac{1}{2} = \frac{5}{12}
$$

---

14. $ \frac{2}{6} \div 6 $

Simplify $ \frac{2}{6} = \frac{1}{3} $

$$
= \frac{1}{3} \div 6 = \frac{1}{3} \times \frac{1}{6} = \frac{1}{18}
$$

---

15. $ \frac{5}{8} \div 5 $

$$
= \frac{5}{8} \times \frac{1}{5} = \frac{5}{40} = \frac{1}{8}
$$

---

16. $ \frac{2}{3} \div 3 $

$$
= \frac{2}{3} \times \frac{1}{3} = \frac{2}{9}
$$

---

✔ Final Answers:

1. $ \frac{1}{16} $
2. $ \frac{1}{15} $
3. $ \frac{3}{8} $
4. $ \frac{1}{24} $
5. $ \frac{5}{18} $
6. $ \frac{11}{36} $
7. $ \frac{1}{16} $
8. $ \frac{3}{40} $
9. $ \frac{1}{16} $
10. $ \frac{1}{35} $
11. $ \frac{1}{10} $
12. $ \frac{1}{36} $
13. $ \frac{5}{12} $
14. $ \frac{1}{18} $
15. $ \frac{1}{8} $
16. $ \frac{2}{9} $

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🔍 Explanation Summary:

- When dividing a fraction by a whole number, multiply the fraction by the reciprocal of the whole number.
- Always simplify fractions before or after multiplying if possible.
- This method works because dividing by a number is the same as multiplying by its reciprocal.

Let me know if you'd like a printable version or visual explanation! 😊