Solve 8/12*x=2/6

$$\frac { 8 } { 12 } \cdot x = \frac { 2 } { 6 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}x=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}x=\frac{1}{3}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{1}{3}\times \frac{3}{2}$$

Multiply \frac{1}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{1}{2}$$