Solve -4/9x=16/27

$$- \frac { 4 } { 9 } x = \frac { 16 } { 27 }$$

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{9}{4}, the reciprocal of -\frac{4}{9}.

$$x=\frac{16}{27}\left(-\frac{9}{4}\right)$$

Multiply \frac{16}{27} times -\frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{16\left(-9\right)}{27\times 4}$$

Do the multiplications in the fraction \frac{16\left(-9\right)}{27\times 4}.

$$x=\frac{-144}{108}$$

Reduce the fraction \frac{-144}{108} to lowest terms by extracting and canceling out 36.

$$x=-\frac{4}{3}$$