Solve (6,75+(-4,5)*12/8)*(-11/8)^3

$$( 6,75 + ( - 4,5 ) \cdot 1 \frac { 2 } { 8 } ) \cdot ( - 1 \frac { 1 } { 8 } ) ^ { 3 }$$

Evaluate

$$-1,601806640625$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\left(6,75-4,5\times \frac{8+2}{8}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Add 8 and 2 to get 10.

$$\left(6,75-4,5\times \frac{10}{8}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\left(6,75-4,5\times \frac{5}{4}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Multiply -4,5 and \frac{5}{4} to get -\frac{45}{8}.

$$\left(6,75-\frac{45}{8}\right)\left(-\frac{1\times 8+1}{8}\right)^{3}$$

Subtract \frac{45}{8} from 6,75 to get \frac{9}{8}.

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

Multiply 1 and 8 to get 8.

$$\frac{9}{8}\left(-\frac{8+1}{8}\right)^{3}$$

Add 8 and 1 to get 9.

$$\frac{9}{8}\left(-\frac{9}{8}\right)^{3}$$

Calculate -\frac{9}{8} to the power of 3 and get -\frac{729}{512}.

$$\frac{9}{8}\left(-\frac{729}{512}\right)$$

Multiply \frac{9}{8} and -\frac{729}{512} to get -\frac{6561}{4096}.

$$-\frac{6561}{4096}$$

Factor

$$-1,601806640625$$