21/3*(-1/2)-2/3*(-2)div1/5]*(-12) eching

$$2 \frac { 1 } { 3 } \times ( - \frac { 1 } { 2 } ) - \frac { 2 } { 3 } \times ( - 2 ) \div \frac { 1 } { 5 } ] \times ( - 12 )$$

Baholash

$$\frac{11}{2}=5,5$$

Yechim qadamlari

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

$$\frac{6+1}{3}\left(-\frac{1}{2}\right)-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

7 olish uchun 6 va 1'ni qo'shing.

$$\frac{7}{3}\left(-\frac{1}{2}\right)-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{7}{3} ni -\frac{1}{2} ga ko‘paytiring.

$$\frac{7\left(-1\right)}{3\times 2}-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

\frac{7\left(-1\right)}{3\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-7}{6}-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

\frac{-7}{6} kasri manfiy belgini olib tashlash bilan -\frac{7}{6} sifatida qayta yozilishi mumkin.

$$-\frac{7}{6}-\frac{\frac{2}{3}\left(-2\right)}{\frac{1}{5}}$$

\frac{2}{3}\left(-2\right) ni yagona kasrga aylantiring.

$$-\frac{7}{6}-\frac{\frac{2\left(-2\right)}{3}}{\frac{1}{5}}$$

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

$$-\frac{7}{6}-\frac{\frac{-4}{3}}{\frac{1}{5}}$$

\frac{-4}{3} kasri manfiy belgini olib tashlash bilan -\frac{4}{3} sifatida qayta yozilishi mumkin.

$$-\frac{7}{6}-\frac{-\frac{4}{3}}{\frac{1}{5}}$$

-\frac{4}{3} ni \frac{1}{5} ga bo'lish -\frac{4}{3} ga k'paytirish \frac{1}{5} ga qaytarish.

$$-\frac{7}{6}-\left(-\frac{4}{3}\times 5\right)$$

-\frac{4}{3}\times 5 ni yagona kasrga aylantiring.

$$-\frac{7}{6}-\frac{-4\times 5}{3}$$

-20 hosil qilish uchun -4 va 5 ni ko'paytirish.

$$-\frac{7}{6}-\frac{-20}{3}$$

\frac{-20}{3} kasri manfiy belgini olib tashlash bilan -\frac{20}{3} sifatida qayta yozilishi mumkin.

$$-\frac{7}{6}-\left(-\frac{20}{3}\right)$$

-\frac{20}{3} ning teskarisi \frac{20}{3} ga teng.

$$-\frac{7}{6}+\frac{20}{3}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{7}{6} va \frac{20}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{7}{6}+\frac{40}{6}$$

-\frac{7}{6} va \frac{40}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-7+40}{6}$$

33 olish uchun -7 va 40'ni qo'shing.

$$\frac{33}{6}$$

\frac{33}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{11}{2}$$

Omil

$$\frac{11}{2} = 5\frac{1}{2} = 5,5$$