Questions: Compare 2/5 and 1/10.

Compare 2/5 and 1/10.
Transcript text: Compare $\frac{2}{5}$ and $\frac{1}{10}$.
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Solution

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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 \(4 > 1\), \(\frac{4}{10} > \frac{1}{10}\).

\(\boxed{\frac{2}{5} > \frac{1}{10}}\)

\(\boxed{\frac{2}{5} > \frac{1}{10}}\)

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