Compare \(\frac{2}{5}\) and \(\frac{1}{10}\).
Find a common denominator.
The least common denominator (LCD) of 5 and 10 is 10.
Convert \(\frac{2}{5}\) to a fraction with denominator 10.
Multiply the numerator and denominator of \(\frac{2}{5}\) by 2: \[ \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}. \]
Compare \(\frac{4}{10}\) and \(\frac{1}{10}\).
Since \(4 > 1\), \(\frac{4}{10} > \frac{1}{10}\).
\(\boxed{\frac{2}{5} > \frac{1}{10}}\)
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