To compare the fractions \( \frac{3}{4} \) and \( \frac{4}{25} \), we can find a common denominator or convert them to decimal form.
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Finding a common denominator:
- The least common multiple (LCM) of 4 and 25 is 100.
- Convert both fractions:
- \( \frac{3}{4} = \frac{3 \times 25}{4 \times 25} = \frac{75}{100} \)
- \( \frac{4}{25} = \frac{4 \times 4}{25 \times 4} = \frac{16}{100} \)
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Comparing the fractions:
- \( \frac{75}{100} > \frac{16}{100} \)
Thus, \( \frac{3}{4} > \frac{4}{25} \).
In short, the answer to fill in the blank is: \( \frac{3}{4} > \frac{4}{25} \)