|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

$$-\frac{122}{15}\approx -8,133333333$$

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.

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

9 ni \frac{135}{15} kasrga o‘giring.

$$|\frac{32}{15}-\frac{135}{15}|+|24+\left(-3\right)^{3}|\left(-5\right)$$

\frac{32}{15} va \frac{135}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$|\frac{32-135}{15}|+|24+\left(-3\right)^{3}|\left(-5\right)$$

-103 olish uchun 32 dan 135 ni ayirish.

$$|-\frac{103}{15}|+|24+\left(-3\right)^{3}|\left(-5\right)$$

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -\frac{103}{15} ning mutloq qiymati \frac{103}{15} ga teng.

$$\frac{103}{15}+|24+\left(-3\right)^{3}|\left(-5\right)$$

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

$$\frac{103}{15}+|24-27|\left(-5\right)$$

-3 olish uchun 24 dan 27 ni ayirish.

$$\frac{103}{15}+|-3|\left(-5\right)$$

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.

$$\frac{103}{15}+3\left(-5\right)$$

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

$$\frac{103}{15}-15$$

15 ni \frac{225}{15} kasrga o‘giring.

$$\frac{103}{15}-\frac{225}{15}$$

\frac{103}{15} va \frac{225}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{103-225}{15}$$

-122 olish uchun 103 dan 225 ni ayirish.

$$-\frac{122}{15}$$

Omil

$$-\frac{122}{15} = -8\frac{2}{15} = -8,133333333333333$$