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

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

Baholash

$$-\frac{89}{12}\approx -7,416666667$$

Yechim qadamlari

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

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

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

$$\frac{4^{1}}{-\frac{1}{2}\times \frac{\frac{3}{2}}{\frac{1}{4}}}-\frac{1}{8}\times \frac{2}{3}-6$$

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

$$\frac{4}{-\frac{1}{2}\times \frac{\frac{3}{2}}{\frac{1}{4}}}-\frac{1}{8}\times \frac{2}{3}-6$$

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

$$\frac{4}{-\frac{1}{2}\times \frac{3}{2}\times 4}-\frac{1}{8}\times \frac{2}{3}-6$$

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

$$\frac{4}{-\frac{1}{2}\times 6}-\frac{1}{8}\times \frac{2}{3}-6$$

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

$$\frac{4}{-3}-\frac{1}{8}\times \frac{2}{3}-6$$

\frac{4}{-3} kasri manfiy belgini olib tashlash bilan -\frac{4}{3} sifatida qayta yozilishi mumkin.

$$-\frac{4}{3}-\frac{1}{8}\times \frac{2}{3}-6$$

\frac{1}{12} hosil qilish uchun \frac{1}{8} va \frac{2}{3} ni ko'paytirish.

$$-\frac{4}{3}-\frac{1}{12}-6$$

-\frac{17}{12} olish uchun -\frac{4}{3} dan \frac{1}{12} ni ayirish.

$$-\frac{17}{12}-6$$

-\frac{89}{12} olish uchun -\frac{17}{12} dan 6 ni ayirish.

$$-\frac{89}{12}$$

Omil

$$-\frac{89}{12} = -7\frac{5}{12} = -7,416666666666667$$