Let's solve each of the fractions by converting them into decimal numbers. We'll do this by dividing the numerator by the denominator.
---
1) $\frac{5}{8}$
$$
5 \div 8 = 0.625
$$
✔ Answer: 0.625
---
2) $\frac{5}{16}$
$$
5 \div 16 = 0.3125
$$
✔ Answer: 0.3125
---
3) $\frac{5}{32}$
$$
5 \div 32 = 0.15625
$$
✔ Answer: 0.15625
---
4) $\frac{5}{64}$
$$
5 \div 64 = 0.078125
$$
✔ Answer: 0.078125
---
5) $\frac{11}{25}$
$$
11 \div 25 = 0.44
$$
✔ Answer: 0.44
---
6) $\frac{11}{125}$
$$
11 \div 125 = 0.088
$$
✔ Answer: 0.088
---
7) $\frac{11}{625}$
$$
11 \div 625 = 0.0176
$$
✔ Answer: 0.0176
---
8) $\frac{11}{3125}$
$$
11 \div 3125 = 0.00352
$$
✔ Answer: 0.00352
---
9) $\frac{19}{25}$
$$
19 \div 25 = 0.76
$$
✔ Answer: 0.76
---
10) $\frac{31}{125}$
$$
31 \div 125 = 0.248
$$
✔ Answer: 0.248
---
11) $\frac{72}{625}$
$$
72 \div 625 = 0.1152
$$
✔ Answer: 0.1152
---
12) $\frac{101}{3125}$
$$
101 \div 3125 = 0.03232
$$
✔ Answer: 0.03232
---
✔ Final Answers:
1) 0.625
2) 0.3125
3) 0.15625
4) 0.078125
5) 0.44
6) 0.088
7) 0.0176
8) 0.00352
9) 0.76
10) 0.248
11) 0.1152
12) 0.03232
---
🔍 Explanation:
To convert a fraction to a decimal, you divide the numerator by the denominator. These denominators are powers of 2 or 5 (or products), which means they result in terminating decimals (not repeating). For example:
- $8 = 2^3$, $16 = 2^4$, etc.
- $25 = 5^2$, $125 = 5^3$, etc.
Since these denominators are composed only of 2s and 5s, their decimal equivalents terminate.
You can use long division or a calculator for accuracy.
Let me know if you'd like a step-by-step long division example!
Parent Tip: Review the logic above to help your child master the concept of converting fractions to decimals worksheet 6th grade.
