Solve 5/6divx=5/4

$$5 / 6 \div x = \frac { 5 } { 4 }$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

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.

$$4\times \frac{5}{6}=5x$$

Express 4\times \frac{5}{6} as a single fraction.

$$\frac{4\times 5}{6}=5x$$

Multiply 4 and 5 to get 20.

$$\frac{20}{6}=5x$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}=5x$$

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

$$5x=\frac{10}{3}$$

Divide both sides by 5.

$$x=\frac{\frac{10}{3}}{5}$$

Express \frac{\frac{10}{3}}{5} as a single fraction.

$$x=\frac{10}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$x=\frac{10}{15}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{2}{3}$$