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\frac{\frac{3}{5}}{\frac{6}{5}}-\frac{3}{6}=\frac{1}{\frac{2}{6}}
Divide 3 by 3 to get 1.
\frac{3}{5}\times \frac{5}{6}-\frac{3}{6}=\frac{1}{\frac{2}{6}}
Divide \frac{3}{5} by \frac{6}{5} by multiplying \frac{3}{5} by the reciprocal of \frac{6}{5}.
\frac{3\times 5}{5\times 6}-\frac{3}{6}=\frac{1}{\frac{2}{6}}
Multiply \frac{3}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{6}-\frac{3}{6}=\frac{1}{\frac{2}{6}}
Cancel out 5 in both numerator and denominator.
\frac{1}{2}-\frac{3}{6}=\frac{1}{\frac{2}{6}}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
\frac{1}{2}-\frac{1}{2}=\frac{1}{\frac{2}{6}}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
0=\frac{1}{\frac{2}{6}}
Subtract \frac{1}{2} from \frac{1}{2} to get 0.
0=\frac{6}{2}
Divide 1 by \frac{2}{6} by multiplying 1 by the reciprocal of \frac{2}{6}.
0=3
Divide 6 by 2 to get 3.
\text{false}
Compare 0 and 3.