Solve 78=65/x*100

$$78 = \frac { 65 } { x } \times 100$$

Solve for x

$$x = \frac{250}{3} = 83\frac{1}{3} \approx 83.333333333$$

Steps for Solving Linear Equation

Divide both sides by 100.

$$\frac{78}{100}=\frac{65}{x}$$

Reduce the fraction \frac{78}{100} to lowest terms by extracting and canceling out 2.

$$\frac{39}{50}=\frac{65}{x}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 50x, the least common multiple of 50,x.

$$39x=50\times 65$$

Multiply 50 and 65 to get 3250.

$$39x=3250$$

Divide both sides by 39.

$$x=\frac{3250}{39}$$

Reduce the fraction \frac{3250}{39} to lowest terms by extracting and canceling out 13.

$$x=\frac{250}{3}$$