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\frac{7}{100}=\frac{3}{100}\times \frac{100}{9}
Divide \frac{3}{100} by \frac{9}{100} by multiplying \frac{3}{100} by the reciprocal of \frac{9}{100}.
\frac{7}{100}=\frac{3\times 100}{100\times 9}
Multiply \frac{3}{100} times \frac{100}{9} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{100}=\frac{3}{9}
Cancel out 100 in both numerator and denominator.
\frac{7}{100}=\frac{1}{3}
Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.
\frac{21}{300}=\frac{100}{300}
Least common multiple of 100 and 3 is 300. Convert \frac{7}{100} and \frac{1}{3} to fractions with denominator 300.
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Compare \frac{21}{300} and \frac{100}{300}.