Solve 5x/6=5/9

$$\frac{ 5x }{ 6 } = \frac{ 5 }{ 9 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides by 6.

$$5x=\frac{5}{9}\times 6$$

Express \frac{5}{9}\times 6 as a single fraction.

$$5x=\frac{5\times 6}{9}$$

Multiply 5 and 6 to get 30.

$$5x=\frac{30}{9}$$

Reduce the fraction \frac{30}{9} to lowest terms by extracting and canceling out 3.

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

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.

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