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

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

Baholash

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

Yechim qadamlari

\frac{1}{6} ni \frac{1}{24} ga bo'lish \frac{1}{6} ga k'paytirish \frac{1}{24} ga qaytarish.

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

4 hosil qilish uchun \frac{1}{6} va 24 ni ko'paytirish.

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

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

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

\frac{3}{2} ni \frac{1}{4} ga bo'lish \frac{3}{2} ga k'paytirish \frac{1}{4} ga qaytarish.

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

6 hosil qilish uchun \frac{3}{2} va 4 ni ko'paytirish.

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

-3 hosil qilish uchun -\frac{1}{2} va 6 ni ko'paytirish.

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

\frac{16}{-3} kasri manfiy belgini olib tashlash bilan -\frac{16}{3} sifatida qayta yozilishi mumkin.

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

\frac{2}{3} hosil qilish uchun -\frac{16}{3} va -\frac{1}{8} ni ko'paytirish.

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

\frac{4}{9} hosil qilish uchun \frac{2}{3} va \frac{2}{3} ni ko'paytirish.

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

-\frac{8}{3} hosil qilish uchun \frac{4}{9} va -6 ni ko'paytirish.

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

Omil

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