Solve 40/9/-frac{9{10}}

$$\frac { \frac { 40 } { 9 } } { - \frac { 9 } { 10 } }$$

Evaluate

$$-\frac{400}{81}\approx -4.938271605$$

Solution Steps

Divide \frac{40}{9} by -\frac{9}{10} by multiplying \frac{40}{9} by the reciprocal of -\frac{9}{10}.

$$\frac{40}{9}\left(-\frac{10}{9}\right)$$

Multiply \frac{40}{9} times -\frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\left(-10\right)}{9\times 9}$$

Do the multiplications in the fraction \frac{40\left(-10\right)}{9\times 9}.

$$\frac{-400}{81}$$

Fraction \frac{-400}{81} can be rewritten as -\frac{400}{81} by extracting the negative sign.

$$-\frac{400}{81}$$

Factor

$$-\frac{400}{81} = -4\frac{76}{81} = -4.938271604938271$$