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 25\frac{2}{5} and 110\frac{1}{10}.

Find a common denominator.

The least common denominator (LCD) of 5 and 10 is 10.

Convert 25\frac{2}{5} to a fraction with denominator 10.

Multiply the numerator and denominator of 25\frac{2}{5} by 2:
25=2×25×2=410. \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}.

Compare 410\frac{4}{10} and 110\frac{1}{10}.

Since 4>14 > 1, 410>110\frac{4}{10} > \frac{1}{10}.

25>110\boxed{\frac{2}{5} > \frac{1}{10}}

25>110\boxed{\frac{2}{5} > \frac{1}{10}}

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