Fraction comparison worksheet for practicing greater than, less than, or equal to symbols.

Let's solve each of these fraction comparison problems step by step. For each pair, we need to determine whether the first fraction is greater than (>), less than (<), or equal to (=) the second fraction.

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1. $\frac{1}{4} \quad \_ \quad \frac{6}{8}$

- Simplify $\frac{6}{8} = \frac{3}{4}$
- Compare $\frac{1}{4}$ and $\frac{3}{4}$ → $\frac{1}{4} < \frac{3}{4}$
- ✔ Answer: $<$

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2. $\frac{2}{3} \quad \_ \quad \frac{3}{4}$

- Find a common denominator: LCM of 3 and 4 is 12
- $\frac{2}{3} = \frac{8}{12}$, $\frac{3}{4} = \frac{9}{12}$
- $\frac{8}{12} < \frac{9}{12}$
- ✔ Answer: $<$

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3. $\frac{2}{8} \quad \_ \quad \frac{2}{9}$

- Both have same numerator (2)
- Larger denominator means smaller value → $\frac{2}{8} > \frac{2}{9}$
- ✔ Answer: $>$

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4. $\frac{2}{4} \quad \_ \quad \frac{2}{6}$

- Simplify: $\frac{2}{4} = \frac{1}{2}$, $\frac{2}{6} = \frac{1}{3}$
- $\frac{1}{2} > \frac{1}{3}$
- ✔ Answer: $>$

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5. $\frac{2}{6} \quad \_ \quad \frac{5}{6}$

- Same denominator → compare numerators: $2 < 5$
- ✔ Answer: $<$

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6. $\frac{2}{5} \quad \_ \quad \frac{1}{8}$

- Find common denominator: LCM of 5 and 8 is 40
- $\frac{2}{5} = \frac{16}{40}$, $\frac{1}{8} = \frac{5}{40}$
- $\frac{16}{40} > \frac{5}{40}$
- ✔ Answer: $>$

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7. $\frac{2}{6} \quad \_ \quad \frac{4}{6}$

- Same denominator → $2 < 4$
- ✔ Answer: $<$

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8. $\frac{1}{8} \quad \_ \quad \frac{4}{5}$

- $\frac{1}{8} = 0.125$, $\frac{4}{5} = 0.8$
- $0.125 < 0.8$
- ✔ Answer: $<$

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9. $\frac{5}{8} \quad \_ \quad \frac{1}{3}$

- Common denominator: LCM of 8 and 3 is 24
- $\frac{5}{8} = \frac{15}{24}$, $\frac{1}{3} = \frac{8}{24}$
- $\frac{15}{24} > \frac{8}{24}$
- ✔ Answer: $>$

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10. $\frac{1}{5} \quad \_ \quad \frac{1}{3}$

- Same numerator → larger denominator = smaller fraction
- $\frac{1}{5} < \frac{1}{3}$
- ✔ Answer: $<$

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11. $\frac{4}{6} \quad \_ \quad \frac{1}{5}$

- Simplify: $\frac{4}{6} = \frac{2}{3} \approx 0.666$, $\frac{1}{5} = 0.2$
- $0.666 > 0.2$
- ✔ Answer: $>$

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12. $\frac{3}{5} \quad \_ \quad \frac{1}{4}$

- Common denominator: 20
- $\frac{3}{5} = \frac{12}{20}$, $\frac{1}{4} = \frac{5}{20}$
- $\frac{12}{20} > \frac{5}{20}$
- ✔ Answer: $>$

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13. $\frac{2}{3} \quad \_ \quad \frac{2}{9}$

- Same numerator → $\frac{2}{3} > \frac{2}{9}$ (smaller denominator = larger value)
- ✔ Answer: $>$

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14. $\frac{7}{8} \quad \_ \quad \frac{3}{8}$

- Same denominator → $7 > 3$
- ✔ Answer: $>$

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15. $\frac{3}{4} \quad \_ \quad \frac{1}{5}$

- $\frac{3}{4} = 0.75$, $\frac{1}{5} = 0.2$
- $0.75 > 0.2$
- ✔ Answer: $>$

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16. $\frac{7}{8} \quad \_ \quad \frac{2}{5}$

- Common denominator: 40
- $\frac{7}{8} = \frac{35}{40}$, $\frac{2}{5} = \frac{16}{40}$
- $\frac{35}{40} > \frac{16}{40}$
- ✔ Answer: $>$

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17. $\frac{4}{6} \quad \_ \quad \frac{2}{4}$

- Simplify: $\frac{4}{6} = \frac{2}{3}$, $\frac{2}{4} = \frac{1}{2}$
- $\frac{2}{3} \approx 0.666$, $\frac{1}{2} = 0.5$ → $0.666 > 0.5$
- ✔ Answer: $>$

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18. $\frac{5}{8} \quad \_ \quad \frac{2}{5}$

- Common denominator: 40
- $\frac{5}{8} = \frac{25}{40}$, $\frac{2}{5} = \frac{16}{40}$
- $\frac{25}{40} > \frac{16}{40}$
- ✔ Answer: $>$

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19. $\frac{2}{3} \quad \_ \quad \frac{5}{6}$

- Common denominator: 6
- $\frac{2}{3} = \frac{4}{6}$, $\frac{5}{6} = \frac{5}{6}$
- $\frac{4}{6} < \frac{5}{6}$
- ✔ Answer: $<$

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20. $\frac{7}{8} \quad \_ \quad \frac{2}{6}$

- Simplify: $\frac{2}{6} = \frac{1}{3}$
- $\frac{7}{8} = 0.875$, $\frac{1}{3} \approx 0.333$
- $0.875 > 0.333$
- ✔ 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. $>$
19. $<$
20. $>$

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