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\sqrt{\frac{1}{625}}=\sqrt{\frac{1}{30625}}
Reduce the fraction \frac{25}{15625} to lowest terms by extracting and canceling out 25.
\frac{1}{25}=\sqrt{\frac{1}{30625}}
Rewrite the square root of the division \frac{1}{625} as the division of square roots \frac{\sqrt{1}}{\sqrt{625}}. Take the square root of both numerator and denominator.
\frac{1}{25}=\frac{1}{175}
Rewrite the square root of the division \frac{1}{30625} as the division of square roots \frac{\sqrt{1}}{\sqrt{30625}}. Take the square root of both numerator and denominator.
\frac{7}{175}=\frac{1}{175}
Least common multiple of 25 and 175 is 175. Convert \frac{1}{25} and \frac{1}{175} to fractions with denominator 175.
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Compare \frac{7}{175} and \frac{1}{175}.