1+4/5(-5/2)^3+2:3/2-2(1/3-frac{3}{4}) eching

$$1 + \frac { 4 } { 5 } ( - \frac { 5 } { 2 } ) ^ { 3 } + 2 : \frac { 3 } { 2 } - 2 ( \frac { 1 } { 3 } - \frac { 3 } { 4 } )$$

Baholash

$$-\frac{28}{3}\approx -9,333333333$$

Yechim qadamlari

3 daraja ko‘rsatkichini -\frac{5}{2} ga hisoblang va -\frac{125}{8} ni qiymatni oling.

$$1+\frac{4}{5}\left(-\frac{125}{8}\right)+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni -\frac{125}{8} ga ko‘paytiring.

$$1+\frac{4\left(-125\right)}{5\times 8}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

\frac{4\left(-125\right)}{5\times 8} kasridagi ko‘paytirishlarni bajaring.

$$1+\frac{-500}{40}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

\frac{-500}{40} ulushini 20 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$1-\frac{25}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

1 ni \frac{2}{2} kasrga o‘giring.

$$\frac{2}{2}-\frac{25}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

\frac{2}{2} va \frac{25}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2-25}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

-23 olish uchun 2 dan 25 ni ayirish.

$$-\frac{23}{2}+\frac{2}{\frac{3}{2}}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

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

$$-\frac{23}{2}+2\times \frac{2}{3}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

2\times \frac{2}{3} ni yagona kasrga aylantiring.

$$-\frac{23}{2}+\frac{2\times 2}{3}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

4 hosil qilish uchun 2 va 2 ni ko'paytirish.

$$-\frac{23}{2}+\frac{4}{3}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{23}{2} va \frac{4}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{69}{6}+\frac{8}{6}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

-\frac{69}{6} va \frac{8}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-69+8}{6}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

-61 olish uchun -69 va 8'ni qo'shing.

$$-\frac{61}{6}-2\left(\frac{1}{3}-\frac{3}{4}\right)$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{3} va \frac{3}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{61}{6}-2\left(\frac{4}{12}-\frac{9}{12}\right)$$

\frac{4}{12} va \frac{9}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{61}{6}-2\times \frac{4-9}{12}$$

-5 olish uchun 4 dan 9 ni ayirish.

$$-\frac{61}{6}-2\left(-\frac{5}{12}\right)$$

2\left(-\frac{5}{12}\right) ni yagona kasrga aylantiring.

$$-\frac{61}{6}-\frac{2\left(-5\right)}{12}$$

-10 hosil qilish uchun 2 va -5 ni ko'paytirish.

$$-\frac{61}{6}-\frac{-10}{12}$$

\frac{-10}{12} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{61}{6}-\left(-\frac{5}{6}\right)$$

-\frac{5}{6} ning teskarisi \frac{5}{6} ga teng.

$$-\frac{61}{6}+\frac{5}{6}$$

-\frac{61}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-61+5}{6}$$

-56 olish uchun -61 va 5'ni qo'shing.

$$\frac{-56}{6}$$

\frac{-56}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{28}{3}$$

Omil

$$-\frac{28}{3} = -9\frac{1}{3} = -9,333333333333334$$