To compare the fractions \( \frac{1}{8} \) and \( \frac{2}{5} \), we first convert them to decimals by dividing the numerator by the denominator.
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For \( \frac{1}{8} \): \[ 1 \div 8 = 0.125 \]
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For \( \frac{2}{5} \): \[ 2 \div 5 = 0.4 \]
Now we compare the decimal values:
- \( 0.125 \) (for \( \frac{1}{8} \)) is less than \( 0.4 \) (for \( \frac{2}{5} \)).
Thus, the statement can be concluded as: \[ \frac{1}{8} < \frac{2}{5} \]
So the correct sign to make the statement true is: <
Final answer: <