Solve 4/3+1/2=1/x

$$\frac { 4 } { 3 } + \frac { 1 } { 2 } = \frac { 1 } { x }$$

Solve for x

$$x=\frac{6}{11}\approx 0.545454545$$

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 6x, the least common multiple of 3,2,x.

$$6x\times \frac{4}{3}+6x\times \frac{1}{2}=6$$

Express 6\times \frac{4}{3} as a single fraction.

$$\frac{6\times 4}{3}x+6x\times \frac{1}{2}=6$$

Multiply 6 and 4 to get 24.

$$\frac{24}{3}x+6x\times \frac{1}{2}=6$$

Divide 24 by 3 to get 8.

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

Multiply 6 and \frac{1}{2} to get \frac{6}{2}.

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

Divide 6 by 2 to get 3.

$$8x+3x=6$$

Combine 8x and 3x to get 11x.

$$11x=6$$

Divide both sides by 11.

$$x=\frac{6}{11}$$