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\frac{\frac{a-2b}{a-b}}{\frac{a-2b}{a}}
Since \frac{a}{a-b} and \frac{2b}{a-b} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(a-2b\right)a}{\left(a-b\right)\left(a-2b\right)}
Divide \frac{a-2b}{a-b} by \frac{a-2b}{a} by multiplying \frac{a-2b}{a-b} by the reciprocal of \frac{a-2b}{a}.
\frac{a}{a-b}
Cancel out a-2b in both numerator and denominator.
\frac{\frac{a-2b}{a-b}}{\frac{a-2b}{a}}
Since \frac{a}{a-b} and \frac{2b}{a-b} have the same denominator, subtract them by subtracting their numerators.
\frac{\left(a-2b\right)a}{\left(a-b\right)\left(a-2b\right)}
Divide \frac{a-2b}{a-b} by \frac{a-2b}{a} by multiplying \frac{a-2b}{a-b} by the reciprocal of \frac{a-2b}{a}.
\frac{a}{a-b}
Cancel out a-2b in both numerator and denominator.