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\frac{2a-1}{\frac{1}{2}\left(2a-1\right)}
Factor the expressions that are not already factored.
\frac{1}{\frac{1}{2}}
Cancel out 2a-1 in both numerator and denominator.
1\times 2
Divide 1 by \frac{1}{2} by multiplying 1 by the reciprocal of \frac{1}{2}.
2
Multiply 1 and 2 to get 2.