5/6+[-1/3-1-(-3/2+11/3-frac{4}{9})-2-frac{7}{18}-1+frac{4}{9}]} eching

$$\frac { 5 } { 6 } + [ - \frac { 1 } { 3 } - 1 - ( - \frac { 3 } { 2 } + 1 \frac { 1 } { 3 } - \frac { 4 } { 9 } ) - 2 - \frac { 7 } { 18 } - 1 + \frac { 4 } { 9 } ] \}$$

Baholash

$$-\frac{17}{6}\approx -2,833333333$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{5}{6}+-\frac{1}{3}-\frac{3}{3}-\left(-\frac{3}{2}+\frac{1\times 3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

-\frac{1}{3} va \frac{3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{6}+\frac{-1-3}{3}-\left(-\frac{3}{2}+\frac{1\times 3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

-4 olish uchun -1 dan 3 ni ayirish.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{2}+\frac{1\times 3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{2}+\frac{3+1}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{2}+\frac{4}{3}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

2 va 3 ning eng kichik umumiy karralisi 6 ga teng. -\frac{3}{2} va \frac{4}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{9}{6}+\frac{8}{6}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

-\frac{9}{6} va \frac{8}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{6}+-\frac{4}{3}-\left(\frac{-9+8}{6}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

-1 olish uchun -9 va 8'ni qo'shing.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{1}{6}-\frac{4}{9}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

6 va 9 ning eng kichik umumiy karralisi 18 ga teng. -\frac{1}{6} va \frac{4}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{3}{18}-\frac{8}{18}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

-\frac{3}{18} va \frac{8}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{6}-\frac{4}{3}-\frac{-3-8}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

-11 olish uchun -3 dan 8 ni ayirish.

$$\frac{5}{6}+-\frac{4}{3}-\left(-\frac{11}{18}\right)-2-\frac{7}{18}-1+\frac{4}{9}$$

-\frac{11}{18} ning teskarisi \frac{11}{18} ga teng.

$$\frac{5}{6}-\frac{4}{3}+\frac{11}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

3 va 18 ning eng kichik umumiy karralisi 18 ga teng. -\frac{4}{3} va \frac{11}{18} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}-\frac{24}{18}+\frac{11}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

-\frac{24}{18} va \frac{11}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{6}+\frac{-24+11}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

-13 olish uchun -24 va 11'ni qo'shing.

$$\frac{5}{6}-\frac{13}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

6 va 18 ning eng kichik umumiy karralisi 18 ga teng. \frac{5}{6} va \frac{13}{18} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{18}-\frac{13}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

\frac{15}{18} va \frac{13}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{15-13}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

2 olish uchun 15 dan 13 ni ayirish.

$$\frac{2}{18}-2-\frac{7}{18}-1+\frac{4}{9}$$

\frac{2}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{9}-2-\frac{7}{18}-1+\frac{4}{9}$$

2 ni \frac{18}{9} kasrga o‘giring.

$$\frac{1}{9}-\frac{18}{9}-\frac{7}{18}-1+\frac{4}{9}$$

\frac{1}{9} va \frac{18}{9} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1-18}{9}-\frac{7}{18}-1+\frac{4}{9}$$

-17 olish uchun 1 dan 18 ni ayirish.

$$-\frac{17}{9}-\frac{7}{18}-1+\frac{4}{9}$$

9 va 18 ning eng kichik umumiy karralisi 18 ga teng. -\frac{17}{9} va \frac{7}{18} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{34}{18}-\frac{7}{18}-1+\frac{4}{9}$$

-\frac{34}{18} va \frac{7}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-34-7}{18}-1+\frac{4}{9}$$

-41 olish uchun -34 dan 7 ni ayirish.

$$-\frac{41}{18}-1+\frac{4}{9}$$

1 ni \frac{18}{18} kasrga o‘giring.

$$-\frac{41}{18}-\frac{18}{18}+\frac{4}{9}$$

-\frac{41}{18} va \frac{18}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-41-18}{18}+\frac{4}{9}$$

-59 olish uchun -41 dan 18 ni ayirish.

$$-\frac{59}{18}+\frac{4}{9}$$

18 va 9 ning eng kichik umumiy karralisi 18 ga teng. -\frac{59}{18} va \frac{4}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{59}{18}+\frac{8}{18}$$

-\frac{59}{18} va \frac{8}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-59+8}{18}$$

-51 olish uchun -59 va 8'ni qo'shing.

$$\frac{-51}{18}$$

\frac{-51}{18} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{17}{6}$$

Omil

$$-\frac{17}{6} = -2\frac{5}{6} = -2,8333333333333335$$