Solve 1/4x-1/6/x-frac{2{3}}

$$\frac { \frac { 1 } { 4 } x - \frac { 1 } { 6 } } { x - \frac { 2 } { 3 } }$$

Evaluate

$$\frac{1}{4}=0.25$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{\frac{1}{12}\left(3x-2\right)}{\frac{1}{3}\left(3x-2\right)}$$

Cancel out 3x-2 in both numerator and denominator.

$$\frac{\frac{1}{12}}{\frac{1}{3}}$$

Divide \frac{1}{12} by \frac{1}{3} by multiplying \frac{1}{12} by the reciprocal of \frac{1}{3}.

$$\frac{1}{12}\times 3$$

Multiply \frac{1}{12} and 3 to get \frac{3}{12}.

$$\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$