Resolver (1/6:1/24)^2/-frac{1{2}(3/2:frac{1}{4})}(-frac{1}{8}*frac{2}{3})(-6)

$$\frac { ( \frac { 1 } { 6 } : \frac { 1 } { 24 } ) ^ { 2 } } { - \frac { 1 } { 2 } ( \frac { 3 } { 2 } : \frac { 1 } { 4 } ) } ( - \frac { 1 } { 8 } \cdot \frac { 2 } { 3 } ) ( - 6 )$$

Calcular

$$-\frac{8}{3}\approx -2.666666667$$

Pasos da solución

Divide \frac{1}{6} entre \frac{1}{24} mediante a multiplicación de \frac{1}{6} polo recíproco de \frac{1}{24}.

$$\frac{\left(\frac{1}{6}\times 24\right)^{2}}{-\frac{1}{2}\times \frac{\frac{3}{2}}{\frac{1}{4}}}\left(-\frac{1}{8}\right)\times \frac{2}{3}\left(-6\right)$$

Multiplica \frac{1}{6} e 24 para obter 4.

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

Calcula 4 á potencia de 2 e obtén 16.

$$\frac{16}{-\frac{1}{2}\times \frac{\frac{3}{2}}{\frac{1}{4}}}\left(-\frac{1}{8}\right)\times \frac{2}{3}\left(-6\right)$$

Divide \frac{3}{2} entre \frac{1}{4} mediante a multiplicación de \frac{3}{2} polo recíproco de \frac{1}{4}.

$$\frac{16}{-\frac{1}{2}\times \frac{3}{2}\times 4}\left(-\frac{1}{8}\right)\times \frac{2}{3}\left(-6\right)$$

Multiplica \frac{3}{2} e 4 para obter 6.

$$\frac{16}{-\frac{1}{2}\times 6}\left(-\frac{1}{8}\right)\times \frac{2}{3}\left(-6\right)$$

Multiplica -\frac{1}{2} e 6 para obter -3.

$$\frac{16}{-3}\left(-\frac{1}{8}\right)\times \frac{2}{3}\left(-6\right)$$

A fracción \frac{16}{-3} pode volver escribirse como -\frac{16}{3} extraendo o signo negativo.

$$-\frac{16}{3}\left(-\frac{1}{8}\right)\times \frac{2}{3}\left(-6\right)$$

Multiplica -\frac{16}{3} e -\frac{1}{8} para obter \frac{2}{3}.

$$\frac{2}{3}\times \frac{2}{3}\left(-6\right)$$

Multiplica \frac{2}{3} e \frac{2}{3} para obter \frac{4}{9}.

$$\frac{4}{9}\left(-6\right)$$

Multiplica \frac{4}{9} e -6 para obter -\frac{8}{3}.

$$-\frac{8}{3}$$

Factorizar

$$-\frac{8}{3} = -2\frac{2}{3} = -2.6666666666666665$$