Solve 1/4/x=4*1/12

$$\frac{ \frac{ 1 }{ 4 } }{ x } = 4 \times \frac{ 1 }{ 12 }$$

Solve for x

$$x=\frac{3}{4}=0.75$$

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 12x, the least common multiple of x,12.

$$12\times \frac{1}{4}=4\times \frac{1}{12}\times 12x$$

Multiply 12 and \frac{1}{4} to get \frac{12}{4}.

$$\frac{12}{4}=4\times \frac{1}{12}\times 12x$$

Divide 12 by 4 to get 3.

$$3=4\times \frac{1}{12}\times 12x$$

Multiply 4 and \frac{1}{12} to get \frac{4}{12}.

$$3=\frac{4}{12}\times 12x$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$3=\frac{1}{3}\times 12x$$

Multiply \frac{1}{3} and 12 to get \frac{12}{3}.

$$3=\frac{12}{3}x$$

Divide 12 by 3 to get 4.

$$3=4x$$

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

$$4x=3$$

Divide both sides by 4.

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