Solve 7/3xdiv2/9=4/9

$$\frac { 7 } { 3 } x \div \frac { 2 } { 9 } = \frac { 4 } { 9 }$$

Solve for x

$$x=\frac{8}{189}\approx 0.042328042$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{9}.

$$\frac{7}{3}x=\frac{4}{9}\times \frac{2}{9}$$

Multiply \frac{4}{9} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{3}x=\frac{4\times 2}{9\times 9}$$

Do the multiplications in the fraction \frac{4\times 2}{9\times 9}.

$$\frac{7}{3}x=\frac{8}{81}$$

Multiply both sides by \frac{3}{7}, the reciprocal of \frac{7}{3}.

$$x=\frac{8}{81}\times \frac{3}{7}$$

Multiply \frac{8}{81} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{8\times 3}{81\times 7}$$

Do the multiplications in the fraction \frac{8\times 3}{81\times 7}.

$$x=\frac{24}{567}$$

Reduce the fraction \frac{24}{567} to lowest terms by extracting and canceling out 3.

$$x=\frac{8}{189}$$