Solve 1div8+1/8=1/6divx

$$1 \div 8 + 1 / 8 = 1 / 6 \div x$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

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 8x, the least common multiple of 8,x.

$$8x\times \frac{1}{8}+8x\times \frac{1}{8}=8\times \frac{1}{6}$$

Cancel out 8 and 8.

$$x+8x\times \frac{1}{8}=8\times \frac{1}{6}$$

Cancel out 8 and 8.

$$x+x=8\times \frac{1}{6}$$

Combine x and x to get 2x.

$$2x=8\times \frac{1}{6}$$

Multiply 8 and \frac{1}{6} to get \frac{8}{6}.

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

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$2x=\frac{4}{3}$$

Divide both sides by 2.

$$x=\frac{\frac{4}{3}}{2}$$

Express \frac{\frac{4}{3}}{2} as a single fraction.

$$x=\frac{4}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$x=\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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