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

$$-\frac{31}{18}\approx -1,722222222$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

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

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

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

-4 olish uchun -1 dan 3 ni ayirish.

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

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

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

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

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

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.

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

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

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

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

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

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.

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

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

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

-11 olish uchun -3 dan 8 ni ayirish.

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

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

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

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.

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

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

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

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

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

2 ni \frac{36}{18} kasrga o‘giring.

$$\frac{5}{6}+-\frac{13}{18}-\frac{36}{18}-\left(\frac{7}{18}-1+\frac{4}{9}\right)$$

-\frac{13}{18} va \frac{36}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{6}+\frac{-13-36}{18}-\left(\frac{7}{18}-1+\frac{4}{9}\right)$$

-49 olish uchun -13 dan 36 ni ayirish.

$$\frac{5}{6}+-\frac{49}{18}-\left(\frac{7}{18}-1+\frac{4}{9}\right)$$

1 ni \frac{18}{18} kasrga o‘giring.

$$\frac{5}{6}+-\frac{49}{18}-\left(\frac{7}{18}-\frac{18}{18}+\frac{4}{9}\right)$$

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

$$\frac{5}{6}+-\frac{49}{18}-\left(\frac{7-18}{18}+\frac{4}{9}\right)$$

-11 olish uchun 7 dan 18 ni ayirish.

$$\frac{5}{6}+-\frac{49}{18}-\left(-\frac{11}{18}+\frac{4}{9}\right)$$

18 va 9 ning eng kichik umumiy karralisi 18 ga teng. -\frac{11}{18} va \frac{4}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}+-\frac{49}{18}-\left(-\frac{11}{18}+\frac{8}{18}\right)$$

-\frac{11}{18} va \frac{8}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{6}-\frac{49}{18}-\frac{-11+8}{18}$$

-3 olish uchun -11 va 8'ni qo'shing.

$$\frac{5}{6}-\frac{49}{18}-\frac{-3}{18}$$

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

$$\frac{5}{6}+-\frac{49}{18}-\left(-\frac{1}{6}\right)$$

-\frac{1}{6} ning teskarisi \frac{1}{6} ga teng.

$$\frac{5}{6}-\frac{49}{18}+\frac{1}{6}$$

18 va 6 ning eng kichik umumiy karralisi 18 ga teng. -\frac{49}{18} va \frac{1}{6} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}-\frac{49}{18}+\frac{3}{18}$$

-\frac{49}{18} va \frac{3}{18} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{6}+\frac{-49+3}{18}$$

-46 olish uchun -49 va 3'ni qo'shing.

$$\frac{5}{6}+\frac{-46}{18}$$

\frac{-46}{18} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{6}-\frac{23}{9}$$

6 va 9 ning eng kichik umumiy karralisi 18 ga teng. \frac{5}{6} va \frac{23}{9} ni 18 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{18}-\frac{46}{18}$$

\frac{15}{18} va \frac{46}{18} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{15-46}{18}$$

-31 olish uchun 15 dan 46 ni ayirish.

$$-\frac{31}{18}$$

Omil

$$-\frac{31}{18} = -1\frac{13}{18} = -1,7222222222222223$$