-1^4*(-1/2)^2+[3/4+(-1/2)-7/8]div(-frac{7}{8}) eching

$$- 1 ^ { 4 } \times ( - \frac { 1 } { 2 } ) ^ { 2 } + [ \frac { 3 } { 4 } + ( - \frac { 1 } { 2 } ) - \frac { 7 } { 8 } ] \div ( - \frac { 7 } { 8 } )$$

Baholash

$$\frac{13}{28}\approx 0,464285714$$

Yechim qadamlari

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

$$-\left(-\frac{1}{2}\right)^{2}+\frac{\frac{3}{4}-\frac{1}{2}-\frac{7}{8}}{-\frac{7}{8}}$$

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

$$-\frac{1}{4}+\frac{\frac{3}{4}-\frac{1}{2}-\frac{7}{8}}{-\frac{7}{8}}$$

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{3}{4} va \frac{1}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{4}+\frac{\frac{3}{4}-\frac{2}{4}-\frac{7}{8}}{-\frac{7}{8}}$$

\frac{3}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1}{4}+\frac{\frac{3-2}{4}-\frac{7}{8}}{-\frac{7}{8}}$$

1 olish uchun 3 dan 2 ni ayirish.

$$-\frac{1}{4}+\frac{\frac{1}{4}-\frac{7}{8}}{-\frac{7}{8}}$$

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{1}{4} va \frac{7}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1}{4}+\frac{\frac{2}{8}-\frac{7}{8}}{-\frac{7}{8}}$$

\frac{2}{8} va \frac{7}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1}{4}+\frac{\frac{2-7}{8}}{-\frac{7}{8}}$$

-5 olish uchun 2 dan 7 ni ayirish.

$$-\frac{1}{4}+\frac{-\frac{5}{8}}{-\frac{7}{8}}$$

-\frac{5}{8} ni -\frac{7}{8} ga bo'lish -\frac{5}{8} ga k'paytirish -\frac{7}{8} ga qaytarish.

$$-\frac{1}{4}-\frac{5}{8}\left(-\frac{8}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{5}{8} ni -\frac{8}{7} ga ko‘paytiring.

$$-\frac{1}{4}+\frac{-5\left(-8\right)}{8\times 7}$$

\frac{-5\left(-8\right)}{8\times 7} kasridagi ko‘paytirishlarni bajaring.

$$-\frac{1}{4}+\frac{40}{56}$$

\frac{40}{56} ulushini 8 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1}{4}+\frac{5}{7}$$

4 va 7 ning eng kichik umumiy karralisi 28 ga teng. -\frac{1}{4} va \frac{5}{7} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{28}+\frac{20}{28}$$

-\frac{7}{28} va \frac{20}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-7+20}{28}$$

13 olish uchun -7 va 20'ni qo'shing.

$$\frac{13}{28}$$

Omil

$$\frac{13}{2 ^ {2} \cdot 7} = 0,4642857142857143$$