Solve 2/3x<4/9

$$\frac { 2 } { 3 } x < \frac { 4 } { 9 }$$

Solve for x

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

Solution Steps

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}. Since \frac{2}{3} is positive, the inequality direction remains the same.

$$x<\frac{4}{9}\times \frac{3}{2}$$

Multiply \frac{4}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x<\frac{4\times 3}{9\times 2}$$

Do the multiplications in the fraction \frac{4\times 3}{9\times 2}.

$$x<\frac{12}{18}$$

Reduce the fraction \frac{12}{18} to lowest terms by extracting and canceling out 6.

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