Solve 3/7xdiv2/9=6/11

$$\frac { 3 } { 7 } x \div \frac { 2 } { 9 } = \frac { 6 } { 11 }$$

Solve for x

$$x=\frac{28}{99}\approx 0.282828283$$

Steps for Solving Linear Equation

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

$$\frac{3}{7}x=\frac{6}{11}\times \frac{2}{9}$$

Multiply \frac{6}{11} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{7}x=\frac{6\times 2}{11\times 9}$$

Do the multiplications in the fraction \frac{6\times 2}{11\times 9}.

$$\frac{3}{7}x=\frac{12}{99}$$

Reduce the fraction \frac{12}{99} to lowest terms by extracting and canceling out 3.

$$\frac{3}{7}x=\frac{4}{33}$$

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

$$x=\frac{4}{33}\times \frac{7}{3}$$

Multiply \frac{4}{33} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{4\times 7}{33\times 3}$$

Do the multiplications in the fraction \frac{4\times 7}{33\times 3}.

$$x=\frac{28}{99}$$