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

$$-\frac{21}{5}=-4,2$$

Yechim qadamlari

-3 olish uchun 4 dan 7 ni ayirish.

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

-3 ning teskarisi 3 ga teng.

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

3 ni \frac{15}{5} kasrga o‘giring.

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

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

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

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

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

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.

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

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

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

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

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

6 ni \frac{54}{9} kasrga o‘giring.

$$2-\left(\frac{104}{45}-\left(\frac{10}{9}-\frac{54}{9}\right)\right)+2-1$$

\frac{10}{9} va \frac{54}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$2-\left(\frac{104}{45}-\frac{10-54}{9}\right)+2-1$$

-44 olish uchun 10 dan 54 ni ayirish.

$$2-\left(\frac{104}{45}-\left(-\frac{44}{9}\right)\right)+2-1$$

-\frac{44}{9} ning teskarisi \frac{44}{9} ga teng.

$$2-\left(\frac{104}{45}+\frac{44}{9}\right)+2-1$$

45 va 9 ning eng kichik umumiy karralisi 45 ga teng. \frac{104}{45} va \frac{44}{9} ni 45 maxraj bilan kasrlarga aylantirib oling.

$$2-\left(\frac{104}{45}+\frac{220}{45}\right)+2-1$$

\frac{104}{45} va \frac{220}{45} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2-\frac{104+220}{45}+2-1$$

324 olish uchun 104 va 220'ni qo'shing.

$$2-\frac{324}{45}+2-1$$

\frac{324}{45} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2-\frac{36}{5}+2-1$$

2 ni \frac{10}{5} kasrga o‘giring.

$$\frac{10}{5}-\frac{36}{5}+2-1$$

\frac{10}{5} va \frac{36}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10-36}{5}+2-1$$

-26 olish uchun 10 dan 36 ni ayirish.

$$-\frac{26}{5}+2-1$$

2 ni \frac{10}{5} kasrga o‘giring.

$$-\frac{26}{5}+\frac{10}{5}-1$$

-\frac{26}{5} va \frac{10}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-26+10}{5}-1$$

-16 olish uchun -26 va 10'ni qo'shing.

$$-\frac{16}{5}-1$$

1 ni \frac{5}{5} kasrga o‘giring.

$$-\frac{16}{5}-\frac{5}{5}$$

-\frac{16}{5} va \frac{5}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-16-5}{5}$$

-21 olish uchun -16 dan 5 ni ayirish.

$$-\frac{21}{5}$$

Omil

$$-\frac{21}{5} = -4\frac{1}{5} = -4,2$$