Solve 8xdiv6/5=5/9

$$8x \div \frac{ 6 }{ 5 } = \frac{ 5 }{ 9 }$$

Solve for x

$$x=\frac{1}{12}\approx 0.083333333$$

Steps for Solving Linear Equation

Multiply both sides by \frac{6}{5}.

$$8x=\frac{5}{9}\times \frac{6}{5}$$

Multiply \frac{5}{9} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$8x=\frac{5\times 6}{9\times 5}$$

Cancel out 5 in both numerator and denominator.

$$8x=\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$8x=\frac{2}{3}$$

Divide both sides by 8.

$$x=\frac{\frac{2}{3}}{8}$$

Express \frac{\frac{2}{3}}{8} as a single fraction.

$$x=\frac{2}{3\times 8}$$

Multiply 3 and 8 to get 24.

$$x=\frac{2}{24}$$

Reduce the fraction \frac{2}{24} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{12}$$