Compare 25\frac{2}{5}52 and 110\frac{1}{10}101.
Find a common denominator.
The least common denominator (LCD) of 5 and 10 is 10.
Convert 25\frac{2}{5}52 to a fraction with denominator 10.
Multiply the numerator and denominator of 25\frac{2}{5}52 by 2: 25=2×25×2=410. \frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}. 52=5×22×2=104.
Compare 410\frac{4}{10}104 and 110\frac{1}{10}101.
Since 4>14 > 14>1, 410>110\frac{4}{10} > \frac{1}{10}104>101.
25>110\boxed{\frac{2}{5} > \frac{1}{10}}52>101
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