Solve 1/6:2/3=1/3:x

$$\frac { 1 } { 6 } : \frac { 2 } { 3 } = \frac { 1 } { 3 } : x$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{\frac{1}{6}}{\frac{2}{3}}=\frac{1}{3}$$

Divide \frac{1}{6} by \frac{2}{3} by multiplying \frac{1}{6} by the reciprocal of \frac{2}{3}.

$$x\times \frac{1}{6}\times \frac{3}{2}=\frac{1}{3}$$

Multiply \frac{1}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{1\times 3}{6\times 2}=\frac{1}{3}$$

Do the multiplications in the fraction \frac{1\times 3}{6\times 2}.

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

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

$$x\times \frac{1}{4}=\frac{1}{3}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=\frac{1}{3}\times 4$$

Multiply \frac{1}{3} and 4 to get \frac{4}{3}.

$$x=\frac{4}{3}$$