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

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

Izrēķināt

$$-\frac{8}{3}\approx -2,666666667$$

Atrisinājuma darbības

Daliet \frac{1}{6} ar \frac{1}{24}, reizinot \frac{1}{6} ar apgriezto daļskaitli \frac{1}{24} .

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

Reiziniet \frac{1}{6} un 24, lai iegūtu 4.

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

Aprēķiniet 4 pakāpē 2 un iegūstiet 16.

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

Daliet \frac{3}{2} ar \frac{1}{4}, reizinot \frac{3}{2} ar apgriezto daļskaitli \frac{1}{4} .

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

Reiziniet \frac{3}{2} un 4, lai iegūtu 6.

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

Reiziniet -\frac{1}{2} un 6, lai iegūtu -3.

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

Daļskaitli \frac{16}{-3} var pārrakstīt kā -\frac{16}{3} , izvelkot negatīvo zīmi.

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

Reiziniet -\frac{16}{3} un -\frac{1}{8}, lai iegūtu \frac{2}{3}.

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

Reiziniet \frac{2}{3} un \frac{2}{3}, lai iegūtu \frac{4}{9}.

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

Reiziniet \frac{4}{9} un -6, lai iegūtu -\frac{8}{3}.

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

Sadalīt reizinātājos

$$-\frac{8}{3} = -2\frac{2}{3} = -2,6666666666666665$$