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

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

Baholash

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

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni -\frac{5}{2} ga ko‘paytiring.

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

\frac{4\left(-5\right)}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$4+\frac{-20}{6}\times 3+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

\frac{-20}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$4-\frac{10}{3}\times 3+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

3 va 3 ni qisqartiring.

$$4-10+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

-6 olish uchun 4 dan 10 ni ayirish.

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

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

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

2 va 2 ni qisqartiring.

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

-3 olish uchun -6 va 3'ni qo'shing.

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

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

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

\frac{3}{6} va \frac{4}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

-1 olish uchun 3 dan 4 ni ayirish.

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

2\left(-\frac{1}{6}\right) ni yagona kasrga aylantiring.

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

-2 hosil qilish uchun 2 va -1 ni ko'paytirish.

$$-3-\frac{-2}{6}$$

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

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

-\frac{1}{3} ning teskarisi \frac{1}{3} ga teng.

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

-3 ni -\frac{9}{3} kasrga o‘giring.

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

-\frac{9}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

-8 olish uchun -9 va 1'ni qo'shing.

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

Omil

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