Let's solve each problem in the worksheet
"Comparing Fractions and Decimals" step by step.
We need to compare each fraction with the given decimal and write the correct symbol:
>,
<, or
=.
---
1.
$\frac{1}{2}$ □ 0.33
- $\frac{1}{2} = 0.5$
- Compare: $0.5$ vs $0.33$
- $0.5 > 0.33$
✔ Answer: >
---
2.
$\frac{3}{7}$ □ 1.75
- $\frac{3}{7} \approx 0.4286$
- Compare: $0.4286$ vs $1.75$
- $0.4286 < 1.75$
✔ Answer: <
---
3.
$\frac{1}{8}$ □ 0.87
- $\frac{1}{8} = 0.125$
- Compare: $0.125$ vs $0.87$
- $0.125 < 0.87$
✔ Answer: <
---
4.
$\frac{2}{3}$ □ 1.95
- $\frac{2}{3} \approx 0.666...$
- Compare: $0.666...$ vs $1.95$
- $0.666... < 1.95$
✔ Answer: <
---
5.
$\frac{11}{5}$ □ 2.2
- $\frac{11}{5} = 2.2$
- Compare: $2.2$ vs $2.2$
- Equal
✔ Answer: =
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6.
$\frac{13}{15}$ □ 0.85
- $\frac{13}{15} \approx 0.8667$
- Compare: $0.8667$ vs $0.85$
- $0.8667 > 0.85$
✔ Answer: >
---
7.
$\frac{8}{7}$ □ 2.14
- $\frac{8}{7} \approx 1.1429$
- Compare: $1.1429$ vs $2.14$
- $1.1429 < 2.14$
✔ Answer: <
---
8.
$\frac{21}{13}$ □ 1.61
- $\frac{21}{13} \approx 1.6154$
- Compare: $1.6154$ vs $1.61$
- $1.6154 > 1.61$
✔ Answer: >
---
9.
$\frac{11}{15}$ □ 0.74
- $\frac{11}{15} \approx 0.7333$
- Compare: $0.7333$ vs $0.74$
- $0.7333 < 0.74$
✔ Answer: <
---
10.
$\frac{1}{6}$ □ 0.16
- $\frac{1}{6} \approx 0.1667$
- Compare: $0.1667$ vs $0.16$
- $0.1667 > 0.16$
✔ Answer: >
---
11.
$\frac{14}{9}$ □ 1.57
- $\frac{14}{9} \approx 1.5556$
- Compare: $1.5556$ vs $1.57$
- $1.5556 < 1.57$
✔ Answer: <
---
12.
$\frac{5}{9}$ □ 2.57
- $\frac{5}{9} \approx 0.5556$
- Compare: $0.5556$ vs $2.57$
- $0.5556 < 2.57$
✔ Answer: <
---
13.
$\frac{6}{4}$ □ 0.15
- $\frac{6}{4} = 1.5$
- Compare: $1.5$ vs $0.15$
- $1.5 > 0.15$
✔ Answer: >
---
14.
$\frac{8}{3}$ □ 2.66
- $\frac{8}{3} \approx 2.6667$
- Compare: $2.6667$ vs $2.66$
- $2.6667 > 2.66$
✔ Answer: >
---
15.
$\frac{1}{3}$ □ 1.33
- $\frac{1}{3} \approx 0.3333$
- Compare: $0.3333$ vs $1.33$
- $0.3333 < 1.33$
✔ Answer: <
---
16.
$\frac{3}{4}$ □ 0.25
- $\frac{3}{4} = 0.75$
- Compare: $0.75$ vs $0.25$
- $0.75 > 0.25$
✔ Answer: >
---
17.
$\frac{9}{2}$ □ 4.7
- $\frac{9}{2} = 4.5$
- Compare: $4.5$ vs $4.7$
- $4.5 < 4.7$
✔ Answer: <
---
18.
$\frac{17}{8}$ □ 2.41
- $\frac{17}{8} = 2.125$
- Compare: $2.125$ vs $2.41$
- $2.125 < 2.41$
✔ Answer: <
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✔ Final Answers:
1. >
2. <
3. <
4. <
5. =
6. >
7. <
8. >
9. <
10. >
11. <
12. <
13. >
14. >
15. <
16. >
17. <
18. <
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Parent Tip: Review the logic above to help your child master the concept of comparing decimals and fractions worksheet.