Fun and educational "Comparing Fractions Worksheet" designed for kids, featuring 12 fraction comparison problems with a playful penguin and children illustration.

To compare fractions, we look at the numerators (top numbers) and denominators (bottom numbers).

Rule 1: Same Denominator
If the bottom numbers are the same, the fraction with the larger top number is bigger.
* Example: $\frac{3}{4}$ is bigger than $\frac{1}{4}$ because 3 is bigger than 1.

Rule 2: Same Numerator
If the top numbers are the same, the fraction with the smaller bottom number is bigger. This is because cutting a pizza into fewer pieces means each piece is larger.
* Example: $\frac{1}{2}$ is bigger than $\frac{1}{3}$ because half of a pizza is bigger than one-third of a pizza.

Rule 3: Different Numerators and Denominators
Sometimes it helps to think about how close the fraction is to 1 (a whole). Or you can find a common denominator.
* Example: Compare $\frac{3}{5}$ and $\frac{3}{10}$. Since the tops are the same, look at the bottoms. 5 is smaller than 10, so $\frac{3}{5}$ is bigger.

Let's solve each problem on the worksheet row by row.

Row 1:
1. $\frac{2}{4}$ vs $\frac{1}{4}$: Same bottom. $2 > 1$, so $\frac{2}{4} > \frac{1}{4}$.
2. $\frac{3}{4}$ vs $\frac{1}{4}$: Same bottom. $3 > 1$, so $\frac{3}{4} > \frac{1}{4}$.

Row 2:
3. $\frac{2}{5}$ vs $\frac{1}{5}$: Same bottom. $2 > 1$, so $\frac{2}{5} > \frac{1}{5}$.
4. $\frac{1}{3}$ vs $\frac{1}{5}$: Same top. Smaller bottom (3) is bigger. So $\frac{1}{3} > \frac{1}{5}$.
5. $\frac{2}{6}$ vs $\frac{5}{6}$: Same bottom. $2 < 5$, so $\frac{2}{6} < \frac{5}{6}$.

Row 3:
6. $\frac{1}{8}$ vs $\frac{2}{8}$: Same bottom. $1 < 2$, so $\frac{1}{8} < \frac{2}{8}$.
7. $\frac{1}{2}$ vs $\frac{1}{3}$: Same top. Smaller bottom (2) is bigger. So $\frac{1}{2} > \frac{1}{3}$.
8. $\frac{1}{6}$ vs $\frac{1}{5}$: Same top. Smaller bottom (5) is bigger. So $\frac{1}{6} < \frac{1}{5}$.

Row 4:
9. $\frac{3}{5}$ vs $\frac{3}{10}$: Same top. Smaller bottom (5) is bigger. So $\frac{3}{5} > \frac{3}{10}$.
10. $\frac{2}{7}$ vs $\frac{2}{6}$: Same top. Smaller bottom (6) is bigger. So $\frac{2}{7} < \frac{2}{6}$.
11. $\frac{1}{3}$ vs $\frac{1}{8}$: Same top. Smaller bottom (3) is bigger. So $\frac{1}{3} > \frac{1}{8}$.

Row 5:
12. $\frac{2}{5}$ vs $\frac{2}{6}$: Same top. Smaller bottom (5) is bigger. So $\frac{2}{5} > \frac{2}{6}$.
13. $\frac{1}{4}$ vs $\frac{1}{4}$: They are exactly the same. So $\frac{1}{4} = \frac{1}{4}$.
14. $\frac{3}{7}$ vs $\frac{3}{5}$: Same top. Smaller bottom (5) is bigger. So $\frac{3}{7} < \frac{3}{5}$.

Row 6:
15. $\frac{1}{8}$ vs $\frac{1}{3}$: Same top. Smaller bottom (3) is bigger. So $\frac{1}{8} < \frac{1}{3}$.
16. $\frac{7}{9}$ vs $\frac{5}{9}$: Same bottom. $7 > 5$, so $\frac{7}{9} > \frac{5}{9}$.
17. $\frac{2}{3}$ vs $\frac{2}{2}$: $\frac{2}{2}$ equals 1 whole. $\frac{2}{3}$ is less than 1. So $\frac{2}{3} < \frac{2}{2}$.

Row 7:
18. $\frac{2}{3}$ vs $\frac{0}{3}$: $\frac{0}{3}$ is zero. Any positive number is bigger than zero. So $\frac{2}{3} > \frac{0}{3}$.
19. $\frac{1}{5}$ vs $\frac{1}{2}$: Same top. Smaller bottom (2) is bigger. So $\frac{1}{5} < \frac{1}{2}$.
20. $\frac{2}{6}$ vs $\frac{2}{3}$: Same top. Smaller bottom (3) is bigger. So $\frac{2}{6} < \frac{2}{3}$.

Row 8:
21. $\frac{1}{8}$ vs $\frac{1}{6}$: Same top. Smaller bottom (6) is bigger. So $\frac{1}{8} < \frac{1}{6}$.
22. $\frac{2}{5}$ vs $\frac{2}{3}$: Same top. Smaller bottom (3) is bigger. So $\frac{2}{5} < \frac{2}{3}$.
23. $\frac{2}{4}$ vs $\frac{2}{8}$: Same top. Smaller bottom (4) is bigger. So $\frac{2}{4} > \frac{2}{8}$.

Final Answer:
$\frac{2}{4} > \frac{1}{4}$
$\frac{3}{4} > \frac{1}{4}$
$\frac{2}{5} > \frac{1}{5}$
$\frac{1}{3} > \frac{1}{5}$
$\frac{2}{6} < \frac{5}{6}$
$\frac{1}{8} < \frac{2}{8}$
$\frac{1}{2} > \frac{1}{3}$
$\frac{1}{6} < \frac{1}{5}$
$\frac{3}{5} > \frac{3}{10}$
$\frac{2}{7} < \frac{2}{6}$
$\frac{1}{3} > \frac{1}{8}$
$\frac{2}{5} > \frac{2}{6}$
$\frac{1}{4} = \frac{1}{4}$
$\frac{3}{7} < \frac{3}{5}$
$\frac{1}{8} < \frac{1}{3}$
$\frac{7}{9} > \frac{5}{9}$
$\frac{2}{3} < \frac{2}{2}$
$\frac{2}{3} > \frac{0}{3}$
$\frac{1}{5} < \frac{1}{2}$
$\frac{2}{6} < \frac{2}{3}$
$\frac{1}{8} < \frac{1}{6}$
$\frac{2}{5} < \frac{2}{3}$
$\frac{2}{4} > \frac{2}{8}$