Solve -71/6*(-11/9)=

$$- 7 \frac { 1 } { 6 } \cdot ( - 1 \frac { 1 } { 9 } ) =$$

Evaluate

$$\frac{215}{27}\approx 7.962962963$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\left(-\frac{42+1}{6}\right)\left(-\frac{1\times 9+1}{9}\right)$$

Add 42 and 1 to get 43.

$$-\frac{43}{6}\left(-\frac{9+1}{9}\right)$$

Add 9 and 1 to get 10.

$$-\frac{43}{6}\left(-\frac{10}{9}\right)$$

Multiply -\frac{43}{6} times -\frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-43\left(-10\right)}{6\times 9}$$

Do the multiplications in the fraction \frac{-43\left(-10\right)}{6\times 9}.

$$\frac{430}{54}$$

Reduce the fraction \frac{430}{54} to lowest terms by extracting and canceling out 2.

$$\frac{215}{27}$$

Factor

$$\frac{5 \cdot 43}{3 ^ {3}} = 7\frac{26}{27} = 7.962962962962963$$