Let's solve each problem on the worksheet step by step. The goal is to
convert fractions and mixed numbers into decimals.
---
1. $\frac{7}{20}$
To convert a fraction to a decimal, divide the numerator by the denominator:
$$
\frac{7}{20} = 7 \div 20 = 0.35
$$
✔ Answer: 0.35
---
2. $\frac{3}{4}$
$$
\frac{3}{4} = 3 \div 4 = 0.75
$$
✔ Answer: 0.75
---
3. $\frac{1}{2}$
$$
\frac{1}{2} = 1 \div 2 = 0.5
$$
✔ Answer: 0.5
---
4. $\frac{9}{10}$
$$
\frac{9}{10} = 9 \div 10 = 0.9
$$
✔ Answer: 0.9
---
5. $\frac{3}{8}$
$$
\frac{3}{8} = 3 \div 8 = 0.375
$$
✔ Answer: 0.375
---
6. $2\frac{5}{8}$
Convert the mixed number to an improper fraction first:
$$
2\frac{5}{8} = \frac{2 \times 8 + 5}{8} = \frac{16 + 5}{8} = \frac{21}{8}
$$
Now divide:
$$
\frac{21}{8} = 21 \div 8 = 2.625
$$
✔ Answer: 2.625
---
7. $4\frac{1}{10}$
$$
4\frac{1}{10} = 4 + \frac{1}{10} = 4 + 0.1 = 4.1
$$
✔ Answer: 4.1
---
8. $\frac{7}{10}$
$$
\frac{7}{10} = 7 \div 10 = 0.7
$$
✔ Answer: 0.7
---
9. $\frac{28}{50}$
Simplify first:
$$
\frac{28}{50} = \frac{14}{25}
$$
Now divide:
$$
\frac{14}{25} = 14 \div 25 = 0.56
$$
✔ Answer: 0.56
---
10. $3\frac{3}{4}$
Convert to improper fraction:
$$
3\frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{12 + 3}{4} = \frac{15}{4}
$$
$$
\frac{15}{4} = 15 \div 4 = 3.75
$$
✔ Answer: 3.75
---
11. $6\frac{3}{25}$
Convert:
$$
6\frac{3}{25} = \frac{6 \times 25 + 3}{25} = \frac{150 + 3}{25} = \frac{153}{25}
$$
$$
\frac{153}{25} = 153 \div 25 = 6.12
$$
✔ Answer: 6.12
---
12. $\frac{20}{40}$
Simplify:
$$
\frac{20}{40} = \frac{1}{2} = 0.5
$$
✔ Answer: 0.5
---
13. $\frac{7}{100}$
$$
\frac{7}{100} = 0.07
$$
✔ Answer: 0.07
---
14. $\frac{13}{25}$
$$
\frac{13}{25} = 13 \div 25 = 0.52
$$
✔ Answer: 0.52
---
15. $\frac{1}{8}$
$$
\frac{1}{8} = 1 \div 8 = 0.125
$$
✔ Answer: 0.125
---
16. $2\frac{1}{5}$
$$
2\frac{1}{5} = 2 + \frac{1}{5} = 2 + 0.2 = 2.2
$$
✔ Answer: 2.2
---
17. $\frac{3}{5}$
$$
\frac{3}{5} = 3 \div 5 = 0.6
$$
✔ Answer: 0.6
---
18. $6\frac{1}{2}$
$$
6\frac{1}{2} = 6 + \frac{1}{2} = 6 + 0.5 = 6.5
$$
✔ Answer: 6.5
---
19. $\frac{11}{20}$
$$
\frac{11}{20} = 11 \div 20 = 0.55
$$
✔ Answer: 0.55
---
20. $\frac{4}{5}$
$$
\frac{4}{5} = 4 \div 5 = 0.8
$$
✔ Answer: 0.8
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 0.35 |
| 2 | 0.75 |
| 3 | 0.5 |
| 4 | 0.9 |
| 5 | 0.375 |
| 6 | 2.625 |
| 7 | 4.1 |
| 8 | 0.7 |
| 9 | 0.56 |
| 10 | 3.75 |
| 11 | 6.12 |
| 12 | 0.5 |
| 13 | 0.07 |
| 14 | 0.52 |
| 15 | 0.125 |
| 16 | 2.2 |
| 17 | 0.6 |
| 18 | 6.5 |
| 19 | 0.55 |
| 20 | 0.8 |
---
🔍 Summary of Techniques Used:
-
For simple fractions: Divide numerator by denominator.
-
For mixed numbers: Convert to improper fraction or add whole number to decimal form of fraction.
-
For simplification: Reduce fractions before dividing (e.g., 28/50 → 14/25).
-
Know common conversions: e.g., 1/2 = 0.5, 1/4 = 0.25, 1/8 = 0.125, etc.
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of mixed numbers and decimals worksheet.
