Solve 5:2=1/4:x

$$5 : 2 = \frac { 1 } { 4 } : x$$

Solve for x

$$x=\frac{1}{10}=0.1$$

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

$$5x=2\times \frac{1}{4}$$

Multiply 2 and \frac{1}{4} to get \frac{2}{4}.

$$5x=\frac{2}{4}$$

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

$$5x=\frac{1}{2}$$

Divide both sides by 5.

$$x=\frac{\frac{1}{2}}{5}$$

Express \frac{\frac{1}{2}}{5} as a single fraction.

$$x=\frac{1}{2\times 5}$$

Multiply 2 and 5 to get 10.

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