Solve 3/5=25/8/x

$$\frac { 3 } { 5 } = \frac { \frac { 25 } { 8 } } { x }$$

Solve for x

$$x = \frac{125}{24} = 5\frac{5}{24} \approx 5.208333333$$

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 5x, the least common multiple of 5,x.

$$3x=5\times \frac{25}{8}$$

Express 5\times \frac{25}{8} as a single fraction.

$$3x=\frac{5\times 25}{8}$$

Multiply 5 and 25 to get 125.

$$3x=\frac{125}{8}$$

Divide both sides by 3.

$$x=\frac{\frac{125}{8}}{3}$$

Express \frac{\frac{125}{8}}{3} as a single fraction.

$$x=\frac{125}{8\times 3}$$

Multiply 8 and 3 to get 24.

$$x=\frac{125}{24}$$