Let's solve each part of this worksheet step by step. The goal is to
compare fractions and decimals using the symbols:
- `>` (greater than)
- `<` (less than)
- `=` (equal to)
We’ll convert all fractions to decimals or vice versa so they can be easily compared.
---
a) $\frac{9}{10}$ ___ 0.1
- $\frac{9}{10} = 0.9$
- Compare: $0.9$ vs $0.1$ → $0.9 > 0.1$
✔ Answer: $\frac{9}{10} > 0.1$
---
b) $\frac{3}{10}$ ___ 0.9
- $\frac{3}{10} = 0.3$
- Compare: $0.3$ vs $0.9$ → $0.3 < 0.9$
✔ Answer: $\frac{3}{10} < 0.9$
---
c) $\frac{7}{10}$ ___ 0.3
- $\frac{7}{10} = 0.7$
- Compare: $0.7$ vs $0.3$ → $0.7 > 0.3$
✔ Answer: $\frac{7}{10} > 0.3$
---
d) $\frac{1}{10}$ ___ 0.4
- $\frac{1}{10} = 0.1$
- Compare: $0.1$ vs $0.4$ → $0.1 < 0.4$
✔ Answer: $\frac{1}{10} < 0.4$
---
e) $\frac{6}{10}$ ___ 0.7
- $\frac{6}{10} = 0.6$
- Compare: $0.6$ vs $0.7$ → $0.6 < 0.7$
✔ Answer: $\frac{6}{10} < 0.7$
---
f) 0.2 ___ $\frac{2}{10}$
- $\frac{2}{10} = 0.2$
- Compare: $0.2$ vs $0.2$ → equal
✔ Answer: $0.2 = \frac{2}{10}$
---
g) 0.8 ___ $\frac{4}{10}$
- $\frac{4}{10} = 0.4$
- Compare: $0.8$ vs $0.4$ → $0.8 > 0.4$
✔ Answer: $0.8 > \frac{4}{10}$
---
h) 0.7 ___ $\frac{5}{10}$
- $\frac{5}{10} = 0.5$
- Compare: $0.7$ vs $0.5$ → $0.7 > 0.5$
✔ Answer: $0.7 > \frac{5}{10}$
---
i) 0.6 ___ $\frac{6}{10}$
- $\frac{6}{10} = 0.6$
- Compare: $0.6$ vs $0.6$ → equal
✔ Answer: $0.6 = \frac{6}{10}$
---
j) 1 ___ $\frac{8}{10}$
- $\frac{8}{10} = 0.8$
- Compare: $1$ vs $0.8$ → $1 > 0.8$
✔ Answer: $1 > \frac{8}{10}$
---
✔ Final Answers:
| Item | Answer |
|------|--------|
| a) | $\frac{9}{10} > 0.1$ |
| b) | $\frac{3}{10} < 0.9$ |
| c) | $\frac{7}{10} > 0.3$ |
| d) | $\frac{1}{10} < 0.4$ |
| e) | $\frac{6}{10} < 0.7$ |
| f) | $0.2 = \frac{2}{10}$ |
| g) | $0.8 > \frac{4}{10}$ |
| h) | $0.7 > \frac{5}{10}$ |
| i) | $0.6 = \frac{6}{10}$ |
| j) | $1 > \frac{8}{10}$ |
---
🔍 Explanation:
To compare fractions and decimals:
1. Convert
fractions to decimals by dividing numerator by denominator (e.g., $\frac{3}{10} = 0.3$).
2. Then compare the decimal values directly.
3. Use the correct symbol based on which number is larger, smaller, or equal.
This method works well when denominators are 10, as it’s easy to convert to tenths (which are decimals with one digit after the point).
Let me know if you'd like a printable version or further explanation!
Parent Tip: Review the logic above to help your child master the concept of comparing decimals and fractions worksheet.
