{-[(5/4)+(-2)]+(2/3)+(-1)^3+2*(4-3)} eching

$$\{ - [ ( \frac { 5 } { 4 } ) + ( - 2 ) ] + ( \frac { 2 } { 3 } ) + ( - 1 ) ^ { 3 } + 2 \cdot ( 4 - 3 ) \}$$

Baholash

$$\frac{29}{12}\approx 2,416666667$$

Yechim qadamlari

2 ni \frac{8}{4} kasrga o‘giring.

$$-\left(\frac{5}{4}-\frac{8}{4}\right)+\frac{2}{3}+\left(-1\right)^{3}+2\left(4-3\right)$$

\frac{5}{4} va \frac{8}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{5-8}{4}+\frac{2}{3}+\left(-1\right)^{3}+2\left(4-3\right)$$

-3 olish uchun 5 dan 8 ni ayirish.

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

-\frac{3}{4} ning teskarisi \frac{3}{4} ga teng.

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

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{3}{4} va \frac{2}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{12}+\frac{8}{12}+\left(-1\right)^{3}+2\left(4-3\right)$$

\frac{9}{12} va \frac{8}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{9+8}{12}+\left(-1\right)^{3}+2\left(4-3\right)$$

17 olish uchun 9 va 8'ni qo'shing.

$$\frac{17}{12}+\left(-1\right)^{3}+2\left(4-3\right)$$

3 daraja ko‘rsatkichini -1 ga hisoblang va -1 ni qiymatni oling.

$$\frac{17}{12}-1+2\left(4-3\right)$$

1 ni \frac{12}{12} kasrga o‘giring.

$$\frac{17}{12}-\frac{12}{12}+2\left(4-3\right)$$

\frac{17}{12} va \frac{12}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{17-12}{12}+2\left(4-3\right)$$

5 olish uchun 17 dan 12 ni ayirish.

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

1 olish uchun 4 dan 3 ni ayirish.

$$\frac{5}{12}+2\times 1$$

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

$$\frac{5}{12}+2$$

2 ni \frac{24}{12} kasrga o‘giring.

$$\frac{5}{12}+\frac{24}{12}$$

\frac{5}{12} va \frac{24}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+24}{12}$$

29 olish uchun 5 va 24'ni qo'shing.

$$\frac{29}{12}$$

Omil

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2,4166666666666665$$