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

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

Solve for x

$$x=1$$

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 4x, the least common multiple of 4,x.

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

Cancel out 4 and 4.

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

Combine x and x\times 2 to get 3x.

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

Cancel out 4 and 4.

$$3x+x=4$$

Combine 3x and x to get 4x.

$$4x=4$$

Divide both sides by 4.

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

Divide 4 by 4 to get 1.

$$x=1$$