Solve -10/81div1/9*(-5/9)

$$- \frac { 10 } { 81 } \div \frac { 1 } { 9 } \cdot ( - \frac { 5 } { 9 } )$$

Evaluate

$$\frac{50}{81}\approx 0.617283951$$

Solution Steps

Divide -\frac{10}{81} by \frac{1}{9} by multiplying -\frac{10}{81} by the reciprocal of \frac{1}{9}.

$$-\frac{10}{81}\times 9\left(-\frac{5}{9}\right)$$

Express -\frac{10}{81}\times 9 as a single fraction.

$$\frac{-10\times 9}{81}\left(-\frac{5}{9}\right)$$

Multiply -10 and 9 to get -90.

$$\frac{-90}{81}\left(-\frac{5}{9}\right)$$

Reduce the fraction \frac{-90}{81} to lowest terms by extracting and canceling out 9.

$$-\frac{10}{9}\left(-\frac{5}{9}\right)$$

Multiply -\frac{10}{9} times -\frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-10\left(-5\right)}{9\times 9}$$

Do the multiplications in the fraction \frac{-10\left(-5\right)}{9\times 9}.

$$\frac{50}{81}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {4}} = 0.6172839506172839$$