4/5+2/3*(-12)div(-6)-(-3)^2|+|24+(-3)^3|*(-5) eching

$$\frac { 4 } { 5 } + \frac { 2 } { 3 } \times ( - 12 ) \div ( - 6 ) - ( - 3 ) ^ { 2 } | + | 24 + ( - 3 ) ^ { 3 } | \times ( - 5 )$$

Baholash

$$-\frac{1993}{15}\approx -132,866666667$$

Yechim qadamlari

\frac{2}{3}\left(-12\right) ni yagona kasrga aylantiring.

$$\frac{4}{5}+\frac{\frac{2\left(-12\right)}{3}}{-6}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

-24 hosil qilish uchun 2 va -12 ni ko'paytirish.

$$\frac{4}{5}+\frac{\frac{-24}{3}}{-6}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

-8 ni olish uchun -24 ni 3 ga bo‘ling.

$$\frac{4}{5}+\frac{-8}{-6}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

\frac{-8}{-6} ulushini -2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}+\frac{4}{3}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{4}{5} va \frac{4}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{15}+\frac{20}{15}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

\frac{12}{15} va \frac{20}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12+20}{15}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

32 olish uchun 12 va 20'ni qo'shing.

$$\frac{32}{15}-\left(-3\right)^{2}||24+\left(-3\right)^{3}|\left(-5\right)|$$

2 daraja ko‘rsatkichini -3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{32}{15}-9||24+\left(-3\right)^{3}|\left(-5\right)|$$

3 daraja ko‘rsatkichini -3 ga hisoblang va -27 ni qiymatni oling.

$$\frac{32}{15}-9||24-27|\left(-5\right)|$$

-3 olish uchun 24 dan 27 ni ayirish.

$$\frac{32}{15}-9||-3|\left(-5\right)|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -3 ning mutloq qiymati 3 ga teng.

$$\frac{32}{15}-9|3\left(-5\right)|$$

-15 hosil qilish uchun 3 va -5 ni ko'paytirish.

$$\frac{32}{15}-9|-15|$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -15 ning mutloq qiymati 15 ga teng.

$$\frac{32}{15}-9\times 15$$

135 hosil qilish uchun 9 va 15 ni ko'paytirish.

$$\frac{32}{15}-135$$

135 ni \frac{2025}{15} kasrga o‘giring.

$$\frac{32}{15}-\frac{2025}{15}$$

\frac{32}{15} va \frac{2025}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{32-2025}{15}$$

-1993 olish uchun 32 dan 2025 ni ayirish.

$$-\frac{1993}{15}$$

Omil

$$-\frac{1993}{15} = -132\frac{13}{15} = -132,86666666666667$$