Math worksheet for dividing fractions by whole numbers, including an example and practice problems.

Explanation:
We are dividing a fraction by a whole number. The trick is simple:
Step 1: Multiply the *bottom* number (denominator) of the fraction by the whole number.
Step 2: Simplify the result if possible.

Let’s do each problem one by one:

1. $\frac{1}{5} \div 5$
→ Denominator: $5 \times 5 = 25$
→ Answer: $\frac{1}{25}$

2. $\frac{2}{10} \div 4$
→ Denominator: $10 \times 4 = 40$
→ Fraction: $\frac{2}{40}$ → simplify: divide numerator and denominator by 2 → $\frac{1}{20}$

3. $\frac{7}{10} \div 7$
→ Denominator: $10 \times 7 = 70$
→ Fraction: $\frac{7}{70}$ → simplify: divide by 7 → $\frac{1}{10}$

4. $\frac{2}{3} \div 3$
→ Denominator: $3 \times 3 = 9$
→ Answer: $\frac{2}{9}$

5. $\frac{1}{4} \div 8$
→ Denominator: $4 \times 8 = 32$
→ Answer: $\frac{1}{32}$

6. $\frac{2}{3} \div 6$
→ Denominator: $3 \times 6 = 18$
→ Fraction: $\frac{2}{18}$ → simplify: divide by 2 → $\frac{1}{9}$

7. $\frac{4}{5} \div 2$
→ Denominator: $5 \times 2 = 10$
→ Fraction: $\frac{4}{10}$ → simplify: divide by 2 → $\frac{2}{5}$

8. $\frac{1}{5} \div 6$
→ Denominator: $5 \times 6 = 30$
→ Answer: $\frac{1}{30}$

9. $\frac{2}{4} \div 9$
First, simplify $\frac{2}{4} = \frac{1}{2}$
→ Then: $\frac{1}{2} \div 9$ → denominator: $2 \times 9 = 18$
→ Answer: $\frac{1}{18}$

10. $\frac{1}{2} \div 6$
→ Denominator: $2 \times 6 = 12$
→ Answer: $\frac{1}{12}$

11. $\frac{8}{10} \div 7$
First, simplify $\frac{8}{10} = \frac{4}{5}$
→ Then: $\frac{4}{5} \div 7$ → denominator: $5 \times 7 = 35$
→ Answer: $\frac{4}{35}$

12. $\frac{1}{3} \div 2$
→ Denominator: $3 \times 2 = 6$
→ Answer: $\frac{1}{6}$

13. $\frac{1}{2} \div 3$
→ Denominator: $2 \times 3 = 6$
→ Answer: $\frac{1}{6}$

14. $\frac{4}{10} \div 4$
First, simplify $\frac{4}{10} = \frac{2}{5}$
→ Then: $\frac{2}{5} \div 4$ → denominator: $5 \times 4 = 20$
→ Fraction: $\frac{2}{20}$ → simplify: divide by 2 → $\frac{1}{10}$

Let me double-check a few to be safe:
- #7: $\frac{4}{5} \div 2 = \frac{4}{5 \times 2} = \frac{4}{10} = \frac{2}{5}$ ✔
- #14: $\frac{4}{10} = \frac{2}{5}$, then $\frac{2}{5} \div 4 = \frac{2}{20} = \frac{1}{10}$ ✔
- #3: $\frac{7}{10} \div 7 = \frac{7}{70} = \frac{1}{10}$ ✔

All look correct.

Final Answer:
1. $\frac{1}{25}$
2. $\frac{1}{20}$
3. $\frac{1}{10}$
4. $\frac{2}{9}$
5. $\frac{1}{32}$
6. $\frac{1}{9}$
7. $\frac{2}{5}$
8. $\frac{1}{30}$
9. $\frac{1}{18}$
10. $\frac{1}{12}$
11. $\frac{4}{35}$
12. $\frac{1}{6}$
13. $\frac{1}{6}$
14. $\frac{1}{10}$