Let's solve each problem on the worksheet step by step. The task is to
divide whole numbers by fractions, and then
simplify the answers where possible.
The rule for dividing a whole number by a fraction is:
>
Divide by multiplying by the reciprocal of the fraction.
That is:
$$
a \div \frac{b}{c} = a \times \frac{c}{b}
$$
---
1. $ 4 \div \frac{5}{7} $
$$
= 4 \times \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}
$$
✔ Answer: $ \boxed{5\frac{3}{5}} $
---
2. $ 5 \div \frac{1}{4} $
$$
= 5 \times \frac{4}{1} = 20
$$
✔ Answer: $ \boxed{20} $
---
3. $ 12 \div \frac{4}{6} $
First, simplify $ \frac{4}{6} = \frac{2}{3} $
Now:
$$
12 \div \frac{2}{3} = 12 \times \frac{3}{2} = \frac{36}{2} = 18
$$
✔ Answer: $ \boxed{18} $
---
4. $ 3 \div \frac{10}{11} $
$$
= 3 \times \frac{11}{10} = \frac{33}{10} = 3\frac{3}{10}
$$
✔ Answer: $ \boxed{3\frac{3}{10}} $
---
5. $ 15 \div \frac{3}{5} $
$$
= 15 \times \frac{5}{3} = \frac{75}{3} = 25
$$
✔ Answer: $ \boxed{25} $
---
6. $ 6 \div \frac{1}{7} $
$$
= 6 \times \frac{7}{1} = 42
$$
✔ Answer: $ \boxed{42} $
---
7. $ 24 \div \frac{8}{9} $
$$
= 24 \times \frac{9}{8} = \frac{216}{8} = 27
$$
✔ Answer: $ \boxed{27} $
---
8. $ 7 \div \frac{3}{4} $
$$
= 7 \times \frac{4}{3} = \frac{28}{3} = 9\frac{1}{3}
$$
✔ Answer: $ \boxed{9\frac{1}{3}} $
---
9. $ 5 \div \frac{4}{6} $
Simplify $ \frac{4}{6} = \frac{2}{3} $
$$
5 \div \frac{2}{3} = 5 \times \frac{3}{2} = \frac{15}{2} = 7\frac{1}{2}
$$
✔ Answer: $ \boxed{7\frac{1}{2}} $
---
10. $ 4 \div \frac{1}{9} $
$$
= 4 \times \frac{9}{1} = 36
$$
✔ Answer: $ \boxed{36} $
---
11. $ 7 \div \frac{1}{2} $
$$
= 7 \times \frac{2}{1} = 14
$$
✔ Answer: $ \boxed{14} $
---
12. $ 8 \div \frac{6}{10} $
Simplify $ \frac{6}{10} = \frac{3}{5} $
$$
8 \div \frac{3}{5} = 8 \times \frac{5}{3} = \frac{40}{3} = 13\frac{1}{3}
$$
✔ Answer: $ \boxed{13\frac{1}{3}} $
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | $ 5\frac{3}{5} $ |
| 2 | $ 20 $ |
| 3 | $ 18 $ |
| 4 | $ 3\frac{3}{10} $ |
| 5 | $ 25 $ |
| 6 | $ 42 $ |
| 7 | $ 27 $ |
| 8 | $ 9\frac{1}{3} $ |
| 9 | $ 7\frac{1}{2} $ |
| 10 | $ 36 $ |
| 11 | $ 14 $ |
| 12 | $ 13\frac{1}{3} $ |
---
📝 Summary of Steps:
- Convert division into multiplication by the
reciprocal.
- Simplify fractions before multiplying if possible.
- Write final answer as a
mixed number or
whole number when needed.
Let me know if you'd like this in printable format!
Parent Tip: Review the logic above to help your child master the concept of dividing whole numbers by fractions worksheet.
