Solve 2/5x*3/4=5/9

$$\frac{ 2 }{ 5 } x \times \frac{ 3 }{ 4 } = \frac{ 5 }{ 9 }$$

Solve for x

$$x = \frac{50}{27} = 1\frac{23}{27} \approx 1.851851852$$

Steps for Solving Linear Equation

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{5\times 4}x=\frac{5}{9}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$\frac{6}{20}x=\frac{5}{9}$$

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

$$\frac{3}{10}x=\frac{5}{9}$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$x=\frac{5}{9}\times \frac{10}{3}$$

Multiply \frac{5}{9} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{5\times 10}{9\times 3}$$

Do the multiplications in the fraction \frac{5\times 10}{9\times 3}.

$$x=\frac{50}{27}$$