Solve -35/9*(-51/4)=

$$- 3 \frac { 5 } { 9 } \cdot ( - 5 \frac { 1 } { 4 } ) =$$

Evaluate

$$\frac{56}{3}\approx 18.666666667$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\left(-\frac{27+5}{9}\right)\left(-\frac{5\times 4+1}{4}\right)$$

Add 27 and 5 to get 32.

$$-\frac{32}{9}\left(-\frac{5\times 4+1}{4}\right)$$

Multiply 5 and 4 to get 20.

$$-\frac{32}{9}\left(-\frac{20+1}{4}\right)$$

Add 20 and 1 to get 21.

$$-\frac{32}{9}\left(-\frac{21}{4}\right)$$

Multiply -\frac{32}{9} times -\frac{21}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-32\left(-21\right)}{9\times 4}$$

Do the multiplications in the fraction \frac{-32\left(-21\right)}{9\times 4}.

$$\frac{672}{36}$$

Reduce the fraction \frac{672}{36} to lowest terms by extracting and canceling out 12.

$$\frac{56}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3} = 18\frac{2}{3} = 18.666666666666668$$