Let's solve each problem step by step. The task is to
find the quotient when a fraction is divided by a whole number.
🔁 Rule to Remember:
To divide a fraction by a whole number, you can:
> 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. $\frac{2}{4} \div 3$
- Simplify $\frac{2}{4} = \frac{1}{2}$
- Now: $\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$
✔ Answer: $\boxed{\frac{1}{6}}$
---
2. $\frac{1}{5} \div 8$
- $\frac{1}{5} \times \frac{1}{8} = \frac{1}{40}$
✔ Answer: $\boxed{\frac{1}{40}}$
---
3. $\frac{1}{6} \div 6$
- $\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$
✔ Answer: $\boxed{\frac{1}{36}}$
---
4. $\frac{5}{8} \div 6$
- $\frac{5}{8} \times \frac{1}{6} = \frac{5}{48}$
✔ Answer: $\boxed{\frac{5}{48}}$
---
5. $\frac{1}{3} \div 5$
- $\frac{1}{3} \times \frac{1}{5} = \frac{1}{15}$
✔ Answer: $\boxed{\frac{1}{15}}$
---
6. $\frac{2}{10} \div 9$
- Simplify $\frac{2}{10} = \frac{1}{5}$
- $\frac{1}{5} \times \frac{1}{9} = \frac{1}{45}$
✔ Answer: $\boxed{\frac{1}{45}}$
---
7. $\frac{1}{2} \div 7$
- $\frac{1}{2} \times \frac{1}{7} = \frac{1}{14}$
✔ Answer: $\boxed{\frac{1}{14}}$
---
8. $\frac{1}{4} \div 2$
- $\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}$
✔ Answer: $\boxed{\frac{1}{8}}$
---
9. $\frac{7}{12} \div 8$
- $\frac{7}{12} \times \frac{1}{8} = \frac{7}{96}$
✔ Answer: $\boxed{\frac{7}{96}}$
---
10. $\frac{1}{5} \div 7$
- $\frac{1}{5} \times \frac{1}{7} = \frac{1}{35}$
✔ Answer: $\boxed{\frac{1}{35}}$
---
11. $\frac{1}{2} \div 4$
- $\frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$
✔ Answer: $\boxed{\frac{1}{8}}$
---
12. $\frac{9}{10} \div 3$
- $\frac{9}{10} \times \frac{1}{3} = \frac{9}{30} = \frac{3}{10}$ (simplified)
✔ Answer: $\boxed{\frac{3}{10}}$
---
13. $\frac{1}{4} \div 6$
- $\frac{1}{4} \times \frac{1}{6} = \frac{1}{24}$
✔ Answer: $\boxed{\frac{1}{24}}$
---
14. $\frac{11}{12} \div 6$
- $\frac{11}{12} \times \frac{1}{6} = \frac{11}{72}$
✔ Answer: $\boxed{\frac{11}{72}}$
---
15. $\frac{2}{3} \div 4$
- $\frac{2}{3} \times \frac{1}{4} = \frac{2}{12} = \frac{1}{6}$
✔ Answer: $\boxed{\frac{1}{6}}$
---
16. $\frac{5}{8} \div 4$
- $\frac{5}{8} \times \frac{1}{4} = \frac{5}{32}$
✔ Answer: $\boxed{\frac{5}{32}}$
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. | $\frac{1}{6}$ |
| 2. | $\frac{1}{40}$ |
| 3. | $\frac{1}{36}$ |
| 4. | $\frac{5}{48}$ |
| 5. | $\frac{1}{15}$ |
| 6. | $\frac{1}{45}$ |
| 7. | $\frac{1}{14}$ |
| 8. | $\frac{1}{8}$ |
| 9. | $\frac{7}{96}$ |
| 10. | $\frac{1}{35}$ |
| 11. | $\frac{1}{8}$ |
| 12. | $\frac{3}{10}$ |
| 13. | $\frac{1}{24}$ |
| 14. | $\frac{11}{72}$ |
| 15. | $\frac{1}{6}$ |
| 16. | $\frac{5}{32}$ |
---
📝 Summary:
All problems follow the same method:
> Divide a fraction by a whole number → multiply the fraction by the reciprocal of the whole number.
And always
simplify the result if possible.
Let me know if you'd like these written out in a printable format!
Parent Tip: Review the logic above to help your child master the concept of division of fraction worksheet.
