3*(-1/2)^2+1/4/3*(-frac{1{3})^2-3/2} eching

$$\frac { 3 \cdot ( - \frac { 1 } { 2 } ) ^ { 2 } + \frac { 1 } { 4 } } { 3 \cdot ( - \frac { 1 } { 3 } ) ^ { 2 } - \frac { 3 } { 2 } }$$

Baholash

$$-\frac{6}{7}\approx -0,857142857$$

Yechim qadamlari

2 daraja ko‘rsatkichini -\frac{1}{2} ga hisoblang va \frac{1}{4} ni qiymatni oling.

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

\frac{3}{4} hosil qilish uchun 3 va \frac{1}{4} ni ko'paytirish.

$$\frac{\frac{3}{4}+\frac{1}{4}}{3\left(-\frac{1}{3}\right)^{2}-\frac{3}{2}}$$

\frac{3}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3+1}{4}}{3\left(-\frac{1}{3}\right)^{2}-\frac{3}{2}}$$

4 olish uchun 3 va 1'ni qo'shing.

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

1 ni olish uchun 4 ni 4 ga bo‘ling.

$$\frac{1}{3\left(-\frac{1}{3}\right)^{2}-\frac{3}{2}}$$

2 daraja ko‘rsatkichini -\frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

$$\frac{1}{3\times \frac{1}{9}-\frac{3}{2}}$$

\frac{3}{9} hosil qilish uchun 3 va \frac{1}{9} ni ko'paytirish.

$$\frac{1}{\frac{3}{9}-\frac{3}{2}}$$

\frac{3}{9} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{\frac{1}{3}-\frac{3}{2}}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{3}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{\frac{2}{6}-\frac{9}{6}}$$

\frac{2}{6} va \frac{9}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{\frac{2-9}{6}}$$

-7 olish uchun 2 dan 9 ni ayirish.

$$\frac{1}{-\frac{7}{6}}$$

1 ni -\frac{7}{6} ga bo'lish 1 ga k'paytirish -\frac{7}{6} ga qaytarish.

$$1\left(-\frac{6}{7}\right)$$

-\frac{6}{7} hosil qilish uchun 1 va -\frac{6}{7} ni ko'paytirish.

$$-\frac{6}{7}$$

Omil

$$-\frac{6}{7} = -0,8571428571428571$$