Solve 33/4div(-8/9)*(-13/5)=

$$3 \frac { 3 } { 4 } \div ( - \frac { 8 } { 9 } ) \times ( - 1 \frac { 3 } { 5 } ) =$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Divide \frac{3\times 4+3}{4} by -\frac{8}{9} by multiplying \frac{3\times 4+3}{4} by the reciprocal of -\frac{8}{9}.

$$\frac{\left(3\times 4+3\right)\times 9}{4\left(-8\right)}\left(-\frac{1\times 5+3}{5}\right)$$

Multiply 3 and 4 to get 12.

$$\frac{\left(12+3\right)\times 9}{4\left(-8\right)}\left(-\frac{1\times 5+3}{5}\right)$$

Add 12 and 3 to get 15.

$$\frac{15\times 9}{4\left(-8\right)}\left(-\frac{1\times 5+3}{5}\right)$$

Multiply 15 and 9 to get 135.

$$\frac{135}{4\left(-8\right)}\left(-\frac{1\times 5+3}{5}\right)$$

Multiply 4 and -8 to get -32.

$$\frac{135}{-32}\left(-\frac{1\times 5+3}{5}\right)$$

Fraction \frac{135}{-32} can be rewritten as -\frac{135}{32} by extracting the negative sign.

$$-\frac{135}{32}\left(-\frac{5+3}{5}\right)$$

Add 5 and 3 to get 8.

$$-\frac{135}{32}\left(-\frac{8}{5}\right)$$

Multiply -\frac{135}{32} times -\frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-135\left(-8\right)}{32\times 5}$$

Do the multiplications in the fraction \frac{-135\left(-8\right)}{32\times 5}.

$$\frac{1080}{160}$$

Reduce the fraction \frac{1080}{160} to lowest terms by extracting and canceling out 40.

$$\frac{27}{4}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$