4+4/5(-5/2)3+2div2/3-2left(1/2-frac{2}{3}right) eching

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

Baholash

$$\frac{4}{3}\approx 1,333333333$$

Yechim qadamlari

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

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

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

$$4+\frac{-20}{10}\times 3+\frac{2}{\frac{2}{3}}-2\left(\frac{1}{2}-\frac{2}{3}\right)$$

-2 ni olish uchun -20 ni 10 ga bo‘ling.

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

-6 hosil qilish uchun -2 va 3 ni ko'paytirish.

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

-2 olish uchun 4 dan 6 ni ayirish.

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

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

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

2 va 2 ni qisqartiring.

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

1 olish uchun -2 va 3'ni qo'shing.

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

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.

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

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

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

-1 olish uchun 3 dan 4 ni ayirish.

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

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

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

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

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

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

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

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

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

1 ni \frac{3}{3} kasrga o‘giring.

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

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

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

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

$$\frac{4}{3}$$

Omil

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1,3333333333333333$$