Solve 1/10+1/100=1/x

$$\frac { 1 } { 10 } + \frac { 1 } { 100 } = \frac { 1 } { x }$$

Solve for x

$$x = \frac{100}{11} = 9\frac{1}{11} \approx 9.090909091$$

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 100x, the least common multiple of 10,100,x.

$$100x\times \frac{1}{10}+100x\times \frac{1}{100}=100$$

Multiply 100 and \frac{1}{10} to get \frac{100}{10}.

$$\frac{100}{10}x+100x\times \frac{1}{100}=100$$

Divide 100 by 10 to get 10.

$$10x+100x\times \frac{1}{100}=100$$

Cancel out 100 and 100.

$$10x+x=100$$

Combine 10x and x to get 11x.

$$11x=100$$

Divide both sides by 11.

$$x=\frac{100}{11}$$