Solve 4-1/6/x=3/18

$$\frac { 4 - \frac { 1 } { 6 } } { x } = \frac { 3 } { 18 }$$

Solve for x

$$x=23$$

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 18x, the least common multiple of x,18.

$$18\left(4-\frac{1}{6}\right)=x\times 3$$

Convert 4 to fraction \frac{24}{6}.

$$18\left(\frac{24}{6}-\frac{1}{6}\right)=x\times 3$$

Since \frac{24}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$18\times \frac{24-1}{6}=x\times 3$$

Subtract 1 from 24 to get 23.

$$18\times \frac{23}{6}=x\times 3$$

Express 18\times \frac{23}{6} as a single fraction.

$$\frac{18\times 23}{6}=x\times 3$$

Multiply 18 and 23 to get 414.

$$\frac{414}{6}=x\times 3$$

Divide 414 by 6 to get 69.

$$69=x\times 3$$

Swap sides so that all variable terms are on the left hand side.

$$x\times 3=69$$

Divide both sides by 3.

$$x=\frac{69}{3}$$

Divide 69 by 3 to get 23.

$$x=23$$