Solve 16/x=39/18

$$\frac { 16 } { x } = \frac { 39 } { 18 }$$

Solve for x

$$x = \frac{96}{13} = 7\frac{5}{13} \approx 7.384615385$$

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 18x, the least common multiple of x,18.

$$18\times 16=x\times 39$$

Multiply 18 and 16 to get 288.

$$288=x\times 39$$

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

$$x\times 39=288$$

Divide both sides by 39.

$$x=\frac{288}{39}$$

Reduce the fraction \frac{288}{39} to lowest terms by extracting and canceling out 3.

$$x=\frac{96}{13}$$