A=1-(-1/2)*(-5/3)-4/3:(1/2-1)+frac{1}{6} eching

$$A = 1 - ( - \frac { 1 } { 2 } ) \cdot ( - \frac { 5 } { 3 } ) - \frac { 4 } { 3 } : ( \frac { 1 } { 2 } - 1 ) + \frac { 1 } { 6 }$$

A uchun yechish

$$A=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1}{2} ni -\frac{5}{3} ga ko‘paytiring.

$$A=1-\frac{-\left(-5\right)}{2\times 3}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

\frac{-\left(-5\right)}{2\times 3} kasridagi ko‘paytirishlarni bajaring.

$$A=1-\frac{5}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

1 ni \frac{6}{6} kasrga o‘giring.

$$A=\frac{6}{6}-\frac{5}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

\frac{6}{6} va \frac{5}{6} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$A=\frac{6-5}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

1 olish uchun 6 dan 5 ni ayirish.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-1}+\frac{1}{6}$$

1 ni \frac{2}{2} kasrga o‘giring.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{\frac{1}{2}-\frac{2}{2}}+\frac{1}{6}$$

\frac{1}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{\frac{1-2}{2}}+\frac{1}{6}$$

-1 olish uchun 1 dan 2 ni ayirish.

$$A=\frac{1}{6}-\frac{\frac{4}{3}}{-\frac{1}{2}}+\frac{1}{6}$$

\frac{4}{3} ni -\frac{1}{2} ga bo'lish \frac{4}{3} ga k'paytirish -\frac{1}{2} ga qaytarish.

$$A=\frac{1}{6}-\frac{4}{3}\left(-2\right)+\frac{1}{6}$$

\frac{4}{3}\left(-2\right) ni yagona kasrga aylantiring.

$$A=\frac{1}{6}-\frac{4\left(-2\right)}{3}+\frac{1}{6}$$

-8 hosil qilish uchun 4 va -2 ni ko'paytirish.

$$A=\frac{1}{6}-\frac{-8}{3}+\frac{1}{6}$$

\frac{-8}{3} kasri manfiy belgini olib tashlash bilan -\frac{8}{3} sifatida qayta yozilishi mumkin.

$$A=\frac{1}{6}-\left(-\frac{8}{3}\right)+\frac{1}{6}$$

-\frac{8}{3} ning teskarisi \frac{8}{3} ga teng.

$$A=\frac{1}{6}+\frac{8}{3}+\frac{1}{6}$$

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{6} va \frac{8}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$A=\frac{1}{6}+\frac{16}{6}+\frac{1}{6}$$

\frac{1}{6} va \frac{16}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$A=\frac{1+16}{6}+\frac{1}{6}$$

17 olish uchun 1 va 16'ni qo'shing.

$$A=\frac{17}{6}+\frac{1}{6}$$

\frac{17}{6} va \frac{1}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$A=\frac{17+1}{6}$$

18 olish uchun 17 va 1'ni qo'shing.

$$A=\frac{18}{6}$$

3 ni olish uchun 18 ni 6 ga bo‘ling.

$$A=3$$

A'ni tayinlash

$$A≔3$$