-2-[-4/5-(4-7)+1/9+(10/9-6)]+2-1 eching

$$- 2 - [ - \frac { 4 } { 5 } - ( 4 - 7 ) + \frac { 1 } { 9 } + ( \frac { 10 } { 9 } - 6 ) ] + 2 - 1$$

Baholash

$$\frac{71}{45}\approx 1,577777778$$

Yechim qadamlari

-3 olish uchun 4 dan 7 ni ayirish.

$$-2-\left(-\frac{4}{5}-\left(-3\right)+\frac{1}{9}+\frac{10}{9}-6\right)+2-1$$

-3 ning teskarisi 3 ga teng.

$$-2-\left(-\frac{4}{5}+3+\frac{1}{9}+\frac{10}{9}-6\right)+2-1$$

3 ni \frac{15}{5} kasrga o‘giring.

$$-2-\left(-\frac{4}{5}+\frac{15}{5}+\frac{1}{9}+\frac{10}{9}-6\right)+2-1$$

-\frac{4}{5} va \frac{15}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-2-\left(\frac{-4+15}{5}+\frac{1}{9}+\frac{10}{9}-6\right)+2-1$$

11 olish uchun -4 va 15'ni qo'shing.

$$-2-\left(\frac{11}{5}+\frac{1}{9}+\frac{10}{9}-6\right)+2-1$$

5 va 9 ning eng kichik umumiy karralisi 45 ga teng. \frac{11}{5} va \frac{1}{9} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$-2-\left(\frac{99}{45}+\frac{5}{45}+\frac{10}{9}-6\right)+2-1$$

\frac{99}{45} va \frac{5}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-2-\left(\frac{99+5}{45}+\frac{10}{9}-6\right)+2-1$$

104 olish uchun 99 va 5'ni qo'shing.

$$-2-\left(\frac{104}{45}+\frac{10}{9}-6\right)+2-1$$

45 va 9 ning eng kichik umumiy karralisi 45 ga teng. \frac{104}{45} va \frac{10}{9} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$-2-\left(\frac{104}{45}+\frac{50}{45}-6\right)+2-1$$

\frac{104}{45} va \frac{50}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-2-\left(\frac{104+50}{45}-6\right)+2-1$$

154 olish uchun 104 va 50'ni qo'shing.

$$-2-\left(\frac{154}{45}-6\right)+2-1$$

6 ni \frac{270}{45} kasrga o‘giring.

$$-2-\left(\frac{154}{45}-\frac{270}{45}\right)+2-1$$

\frac{154}{45} va \frac{270}{45} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-2-\frac{154-270}{45}+2-1$$

-116 olish uchun 154 dan 270 ni ayirish.

$$-2-\left(-\frac{116}{45}\right)+2-1$$

-\frac{116}{45} ning teskarisi \frac{116}{45} ga teng.

$$-2+\frac{116}{45}+2-1$$

-2 ni -\frac{90}{45} kasrga o‘giring.

$$-\frac{90}{45}+\frac{116}{45}+2-1$$

-\frac{90}{45} va \frac{116}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-90+116}{45}+2-1$$

26 olish uchun -90 va 116'ni qo'shing.

$$\frac{26}{45}+2-1$$

2 ni \frac{90}{45} kasrga o‘giring.

$$\frac{26}{45}+\frac{90}{45}-1$$

\frac{26}{45} va \frac{90}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{26+90}{45}-1$$

116 olish uchun 26 va 90'ni qo'shing.

$$\frac{116}{45}-1$$

1 ni \frac{45}{45} kasrga o‘giring.

$$\frac{116}{45}-\frac{45}{45}$$

\frac{116}{45} va \frac{45}{45} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{116-45}{45}$$

71 olish uchun 116 dan 45 ni ayirish.

$$\frac{71}{45}$$

Omil

$$\frac{71}{3 ^ {2} \cdot 5} = 1\frac{26}{45} = 1,5777777777777777$$