Dividing Whole Numbers by Unit Fractions 3 - Math worksheet with division problems.

It looks like you've uploaded a worksheet titled "Dividing Whole Numbers by Unit Fractions 3", which contains a series of math problems where whole numbers are divided by unit fractions (fractions with numerator 1, such as $ \frac{1}{2}, \frac{1}{4}, \frac{1}{5} $, etc.).

Let me solve all the problems and explain the method.

---

🔍 Key Concept:

To divide a whole number by a unit fraction, use this rule:

$$
\text{Whole number} \div \frac{1}{n} = \text{Whole number} \times n
$$

This is because dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $ \frac{1}{n} $ is $ n $.

---

✔ Let's Solve Each Problem:

#### Left Column:

1. $ 3 \div \frac{1}{7} = 3 \times 7 = \boxed{21} $

2. $ 2 \div \frac{1}{4} = 2 \times 4 = \boxed{8} $

3. $ 8 \div \frac{1}{6} = 8 \times 6 = \boxed{48} $

4. $ 9 \div \frac{1}{2} = 9 \times 2 = \boxed{18} $

5. $ 6 \div \frac{1}{5} = 6 \times 5 = \boxed{30} $

6. $ 5 \div \frac{1}{3} = 5 \times 3 = \boxed{15} $

7. $ 10 \div \frac{1}{8} = 10 \times 8 = \boxed{80} $

8. $ 4 \div \frac{1}{6} = 4 \times 6 = \boxed{24} $

9. $ 10 \div \frac{1}{4} = 10 \times 4 = \boxed{40} $

10. $ 14 \div \frac{1}{3} = 14 \times 3 = \boxed{42} $

11. $ 8 \div \frac{1}{5} = 8 \times 5 = \boxed{40} $

12. $ 16 \div \frac{1}{2} = 16 \times 2 = \boxed{32} $

13. $ 10 \div \frac{1}{9} = 10 \times 9 = \boxed{90} $

14. $ 12 \div \frac{1}{7} = 12 \times 7 = \boxed{84} $

---

#### Right Column:

15. $ 8 \div \frac{1}{4} = 8 \times 4 = \boxed{32} $

16. $ 4 \div \frac{1}{5} = 4 \times 5 = \boxed{20} $

17. $ 2 \div \frac{1}{7} = 2 \times 7 = \boxed{14} $

18. $ 5 \div \frac{1}{8} = 5 \times 8 = \boxed{40} $

19. $ 3 \div \frac{1}{6} = 3 \times 6 = \boxed{18} $

20. $ 8 \div \frac{1}{2} = 8 \times 2 = \boxed{16} $

21. $ 3 \div \frac{1}{12} = 3 \times 12 = \boxed{36} $

22. $ 4 \div \frac{1}{5} = 4 \times 5 = \boxed{20} $

23. $ 8 \div \frac{1}{10} = 8 \times 10 = \boxed{80} $

24. $ 6 \div \frac{1}{4} = 6 \times 4 = \boxed{24} $

25. $ 7 \div \frac{1}{6} = 7 \times 6 = \boxed{42} $

26. $ 8 \div \frac{1}{5} = 8 \times 5 = \boxed{40} $

27. $ 5 \div \frac{1}{3} = 5 \times 3 = \boxed{15} $

28. $ 10 \div \frac{1}{4} = 10 \times 4 = \boxed{40} $

---

📌 Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 21 |
| 2 | 8 |
| 3 | 48 |
| 4 | 18 |
| 5 | 30 |
| 6 | 15 |
| 7 | 80 |
| 8 | 24 |
| 9 | 40 |
| 10 | 42 |
| 11 | 40 |
| 12 | 32 |
| 13 | 90 |
| 14 | 84 |
| 15 | 32 |
| 16 | 20 |
| 17 | 14 |
| 18 | 40 |
| 19 | 18 |
| 20 | 16 |
| 21 | 36 |
| 22 | 20 |
| 23 | 80 |
| 24 | 24 |
| 25 | 42 |
| 26 | 40 |
| 27 | 15 |
| 28 | 40 |

---

💡 Explanation Summary:

When dividing a whole number by a unit fraction $ \frac{1}{n} $, you're asking:
"How many parts of size $ \frac{1}{n} $ fit into the whole number?"

For example:
$ 6 \div \frac{1}{5} $ means: How many fifths are in 6?
Since one whole has 5 fifths, 6 wholes have $ 6 \times 5 = 30 $ fifths.

So, multiply the whole number by the denominator of the unit fraction.

✔ This shortcut works for all unit fractions.

---

Let me know if you'd like this printed out or formatted as a PDF!