Solve 2/9r=-6/13

$$\frac { 2 } { 9 } r = - \frac { 6 } { 13 }$$

Solve for r

$$r = -\frac{27}{13} = -2\frac{1}{13} \approx -2.076923077$$

Steps for Solving Linear Equation

Multiply both sides by \frac{9}{2}, the reciprocal of \frac{2}{9}.

$$r=-\frac{6}{13}\times \frac{9}{2}$$

Multiply -\frac{6}{13} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$r=\frac{-6\times 9}{13\times 2}$$

Do the multiplications in the fraction \frac{-6\times 9}{13\times 2}.

$$r=\frac{-54}{26}$$

Reduce the fraction \frac{-54}{26} to lowest terms by extracting and canceling out 2.

$$r=-\frac{27}{13}$$