Solve 6/x=48/36

$$\frac{ 6 }{ x } = \frac{ 48 }{ 36 }$$

Solve for x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

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 36x, the least common multiple of x,36.

$$36\times 6=x\times 48$$

Multiply 36 and 6 to get 216.

$$216=x\times 48$$

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

$$x\times 48=216$$

Divide both sides by 48.

$$x=\frac{216}{48}$$

Reduce the fraction \frac{216}{48} to lowest terms by extracting and canceling out 24.

$$x=\frac{9}{2}$$