Solve 5/2:x=8/4

$$\frac { 5 } { 2 } : x = \frac { 8 } { 4 }$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

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 x,4.

$$4\times \frac{5}{2}=x\times 8$$

Express 4\times \frac{5}{2} as a single fraction.

$$\frac{4\times 5}{2}=x\times 8$$

Multiply 4 and 5 to get 20.

$$\frac{20}{2}=x\times 8$$

Divide 20 by 2 to get 10.

$$10=x\times 8$$

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

$$x\times 8=10$$

Divide both sides by 8.

$$x=\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

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