Solve 2/a-1/frac{3{2a-2}}

$$\frac{ \frac{ 2 }{ a-1 } }{ \frac{ 3 }{ 2a-2 } }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Short Solution Steps

Divide \frac{2}{a-1} by \frac{3}{2a-2} by multiplying \frac{2}{a-1} by the reciprocal of \frac{3}{2a-2}.

$$\frac{2\left(2a-2\right)}{\left(a-1\right)\times 3}$$

Factor the expressions that are not already factored.

$$\frac{2^{2}\left(a-1\right)}{3\left(a-1\right)}$$

Cancel out a-1 in both numerator and denominator.

$$\frac{2^{2}}{3}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$