Convert Decimals to fractions worksheets - Math Worksheets ... - Free Printable

Let's solve each problem by converting decimals to fractions. The general method is:

✔ Steps to Convert a Decimal to a Fraction:

1. Write the decimal as a fraction with the denominator as a power of 10 (based on the number of decimal places).
2. Simplify the fraction if possible.

---

We'll go through each one step-by-step:

---

1. 25.2

- One decimal place → denominator = 10
- $ 25.2 = \frac{252}{10} $
- Simplify: divide numerator and denominator by 2 → $ \frac{126}{5} $
- Final answer: $ \frac{126}{5} $

---

2. 53.07

- Two decimal places → denominator = 100
- $ 53.07 = \frac{5307}{100} $
- This cannot be simplified further.
- Final answer: $ \frac{5307}{100} $

---

3. 7.52

- Two decimal places → denominator = 100
- $ 7.52 = \frac{752}{100} $
- Simplify: divide numerator and denominator by 4 → $ \frac{188}{25} $
- Final answer: $ \frac{188}{25} $

---

4. 9.9

- One decimal place → denominator = 10
- $ 9.9 = \frac{99}{10} $
- Cannot simplify further.
- Final answer: $ \frac{99}{10} $

---

5. 95.1

- One decimal place → denominator = 10
- $ 95.1 = \frac{951}{10} $
- Cannot simplify further.
- Final answer: $ \frac{951}{10} $

---

6. 12.5

- One decimal place → denominator = 10
- $ 12.5 = \frac{125}{10} $
- Simplify: divide by 5 → $ \frac{25}{2} $
- Final answer: $ \frac{25}{2} $

---

7. 18.9

- One decimal place → denominator = 10
- $ 18.9 = \frac{189}{10} $
- Cannot simplify further.
- Final answer: $ \frac{189}{10} $

---

8. 74.6

- One decimal place → denominator = 10
- $ 74.6 = \frac{746}{10} $
- Simplify: divide by 2 → $ \frac{373}{5} $
- Final answer: $ \frac{373}{5} $

---

9. 75.5

- One decimal place → denominator = 10
- $ 75.5 = \frac{755}{10} $
- Simplify: divide by 5 → $ \frac{151}{2} $
- Final answer: $ \frac{151}{2} $

---

10. 25.04

- Two decimal places → denominator = 100
- $ 25.04 = \frac{2504}{100} $
- Simplify: divide by 4 → $ \frac{626}{25} $
- Final answer: $ \frac{626}{25} $

---

11. 86.92

- Two decimal places → denominator = 100
- $ 86.92 = \frac{8692}{100} $
- Simplify: divide by 4 → $ \frac{2173}{25} $
- Final answer: $ \frac{2173}{25} $

---

12. 80.34

- Two decimal places → denominator = 100
- $ 80.34 = \frac{8034}{100} $
- Simplify: divide by 2 → $ \frac{4017}{50} $
- Final answer: $ \frac{4017}{50} $

---

13. 98.32

- Two decimal places → denominator = 100
- $ 98.32 = \frac{9832}{100} $
- Simplify: divide by 4 → $ \frac{2458}{25} $
- Final answer: $ \frac{2458}{25} $

---

14. 38.31

- Two decimal places → denominator = 100
- $ 38.31 = \frac{3831}{100} $
- Cannot simplify further.
- Final answer: $ \frac{3831}{100} $

---

15. 95.2

- One decimal place → denominator = 10
- $ 95.2 = \frac{952}{10} $
- Simplify: divide by 2 → $ \frac{476}{5} $
- Final answer: $ \frac{476}{5} $

---

16. 70.64

- Two decimal places → denominator = 100
- $ 70.64 = \frac{7064}{100} $
- Simplify: divide by 4 → $ \frac{1766}{25} $
- Final answer: $ \frac{1766}{25} $

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. 25.2 | $ \frac{126}{5} $ |
| 2. 53.07 | $ \frac{5307}{100} $ |
| 3. 7.52 | $ \frac{188}{25} $ |
| 4. 9.9 | $ \frac{99}{10} $ |
| 5. 95.1 | $ \frac{951}{10} $ |
| 6. 12.5 | $ \frac{25}{2} $ |
| 7. 18.9 | $ \frac{189}{10} $ |
| 8. 74.6 | $ \frac{373}{5} $ |
| 9. 75.5 | $ \frac{151}{2} $ |
| 10. 25.04 | $ \frac{626}{25} $ |
| 11. 86.92 | $ \frac{2173}{25} $ |
| 12. 80.34 | $ \frac{4017}{50} $ |
| 13. 98.32 | $ \frac{2458}{25} $ |
| 14. 38.31 | $ \frac{3831}{100} $ |
| 15. 95.2 | $ \frac{476}{5} $ |
| 16. 70.64 | $ \frac{1766}{25} $ |

---

🔍 Tips:

- Always count decimal places to determine the denominator.
- Reduce fractions to lowest terms using GCD (Greatest Common Divisor).
- If the decimal has one digit after the decimal point, use 10 as denominator.
- If it has two, use 100, etc.

Let me know if you'd like mixed numbers instead!