Evaluate
\frac{3af+4a-3f-2}{3\left(a-1\right)}
Factor
\frac{3af+4a-3f-2}{3\left(a-1\right)}
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\frac{2\left(2a-1\right)}{\left(a-1\right)\times 3}+f
Divide \frac{2}{a-1} by \frac{3}{2a-1} by multiplying \frac{2}{a-1} by the reciprocal of \frac{3}{2a-1}.
\frac{2\left(2a-1\right)}{\left(a-1\right)\times 3}+\frac{f\left(a-1\right)\times 3}{\left(a-1\right)\times 3}
To add or subtract expressions, expand them to make their denominators the same. Multiply f times \frac{\left(a-1\right)\times 3}{\left(a-1\right)\times 3}.
\frac{2\left(2a-1\right)+f\left(a-1\right)\times 3}{\left(a-1\right)\times 3}
Since \frac{2\left(2a-1\right)}{\left(a-1\right)\times 3} and \frac{f\left(a-1\right)\times 3}{\left(a-1\right)\times 3} have the same denominator, add them by adding their numerators.
\frac{4a-2+3fa-3f}{\left(a-1\right)\times 3}
Do the multiplications in 2\left(2a-1\right)+f\left(a-1\right)\times 3.
\frac{4a-2+3fa-3f}{3a-3}
Expand \left(a-1\right)\times 3.
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