Dividing Fractions by a Whole Number worksheet - Free Printable

Let's solve each of these problems step by step. The task is to divide a fraction by a whole number.

🔷 Rule:

To divide a fraction by a whole number, follow these steps:

1. Write the whole number as a fraction (e.g., $ 2 = \frac{2}{1} $).
2. Multiply the fraction by the reciprocal of the whole number.
- That is:
$$
\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c}
$$

Let’s go through each problem:

---

1) $ \frac{1}{2} \div 2 $

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

✔ Answer: $ \frac{1}{4} $

---

2) $ \frac{1}{2} \div 6 $

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

✔ Answer: $ \frac{1}{12} $

---

3) $ \frac{2}{3} \div 6 $

$$
= \frac{2}{3} \times \frac{1}{6} = \frac{2}{18} = \frac{1}{9}
$$

✔ Answer: $ \frac{1}{9} $

---

4) $ \frac{3}{5} \div 9 $

$$
= \frac{3}{5} \times \frac{1}{9} = \frac{3}{45} = \frac{1}{15}
$$

✔ Answer: $ \frac{1}{15} $

---

5) $ \frac{5}{6} \div 10 $

$$
= \frac{5}{6} \times \frac{1}{10} = \frac{5}{60} = \frac{1}{12}
$$

✔ Answer: $ \frac{1}{12} $

---

6) $ \frac{3}{8} \div 12 $

$$
= \frac{3}{8} \times \frac{1}{12} = \frac{3}{96} = \frac{1}{32}
$$

✔ Answer: $ \frac{1}{32} $

---

7) $ \frac{3}{10} \div 24 $

$$
= \frac{3}{10} \times \frac{1}{24} = \frac{3}{240} = \frac{1}{80}
$$

✔ Answer: $ \frac{1}{80} $

---

8) $ \frac{2}{3} \div 12 $

$$
= \frac{2}{3} \times \frac{1}{12} = \frac{2}{36} = \frac{1}{18}
$$

✔ Answer: $ \frac{1}{18} $

---

9) $ \frac{3}{4} \div 27 $

$$
= \frac{3}{4} \times \frac{1}{27} = \frac{3}{108} = \frac{1}{36}
$$

✔ Answer: $ \frac{1}{36} $

---

10) $ \frac{3}{5} \div 12 $

$$
= \frac{3}{5} \times \frac{1}{12} = \frac{3}{60} = \frac{1}{20}
$$

✔ Answer: $ \frac{1}{20} $

---

11) $ \frac{5}{8} \div 10 $

$$
= \frac{5}{8} \times \frac{1}{10} = \frac{5}{80} = \frac{1}{16}
$$

✔ Answer: $ \frac{1}{16} $

---

12) $ \frac{7}{10} \div 14 $

$$
= \frac{7}{10} \times \frac{1}{14} = \frac{7}{140} = \frac{1}{20}
$$

✔ Answer: $ \frac{1}{20} $

---

13) $ \frac{3}{8} \div 15 $

$$
= \frac{3}{8} \times \frac{1}{15} = \frac{3}{120} = \frac{1}{40}
$$

✔ Answer: $ \frac{1}{40} $

---

14) $ \frac{2}{3} \div 14 $

$$
= \frac{2}{3} \times \frac{1}{14} = \frac{2}{42} = \frac{1}{21}
$$

✔ Answer: $ \frac{1}{21} $

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) $ \frac{1}{2} \div 2 $ | $ \frac{1}{4} $ |
| 2) $ \frac{1}{2} \div 6 $ | $ \frac{1}{12} $ |
| 3) $ \frac{2}{3} \div 6 $ | $ \frac{1}{9} $ |
| 4) $ \frac{3}{5} \div 9 $ | $ \frac{1}{15} $ |
| 5) $ \frac{5}{6} \div 10 $ | $ \frac{1}{12} $ |
| 6) $ \frac{3}{8} \div 12 $ | $ \frac{1}{32} $ |
| 7) $ \frac{3}{10} \div 24 $ | $ \frac{1}{80} $ |
| 8) $ \frac{2}{3} \div 12 $ | $ \frac{1}{18} $ |
| 9) $ \frac{3}{4} \div 27 $ | $ \frac{1}{36} $ |
| 10) $ \frac{3}{5} \div 12 $ | $ \frac{1}{20} $ |
| 11) $ \frac{5}{8} \div 10 $ | $ \frac{1}{16} $ |
| 12) $ \frac{7}{10} \div 14 $ | $ \frac{1}{20} $ |
| 13) $ \frac{3}{8} \div 15 $ | $ \frac{1}{40} $ |
| 14) $ \frac{2}{3} \div 14 $ | $ \frac{1}{21} $ |

---

📝 Summary Tip:

When dividing a fraction by a whole number, multiply the fraction by the reciprocal of the whole number, and simplify if possible.

Let me know if you'd like this in printable format or with visual models!