1125+12/3-25/6*-8/27 eching

$$1125+ 1 \frac { 2 } { 3 } - 2 \frac { 5 } { 6 } \times - \frac{ 8 }{ 27 }$$

Baholash

$$\frac{91328}{81}\approx 1127,50617284$$

Yechim qadamlari

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

$$1125+\frac{3+2}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

5 olish uchun 3 va 2'ni qo'shing.

$$1125+\frac{5}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

1125 ni \frac{3375}{3} kasrga o‘giring.

$$\frac{3375}{3}+\frac{5}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

\frac{3375}{3} va \frac{5}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3375+5}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

3380 olish uchun 3375 va 5'ni qo'shing.

$$\frac{3380}{3}-\frac{2\times 6+5}{6}\left(-\frac{8}{27}\right)$$

12 hosil qilish uchun 2 va 6 ni ko'paytirish.

$$\frac{3380}{3}-\frac{12+5}{6}\left(-\frac{8}{27}\right)$$

17 olish uchun 12 va 5'ni qo'shing.

$$\frac{3380}{3}-\frac{17}{6}\left(-\frac{8}{27}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{17}{6} ni -\frac{8}{27} ga ko‘paytiring.

$$\frac{3380}{3}-\frac{17\left(-8\right)}{6\times 27}$$

\frac{17\left(-8\right)}{6\times 27} kasridagi ko‘paytirishlarni bajaring.

$$\frac{3380}{3}-\frac{-136}{162}$$

\frac{-136}{162} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3380}{3}-\left(-\frac{68}{81}\right)$$

-\frac{68}{81} ning teskarisi \frac{68}{81} ga teng.

$$\frac{3380}{3}+\frac{68}{81}$$

3 va 81 ning eng kichik umumiy karralisi 81 ga teng. \frac{3380}{3} va \frac{68}{81} ni 81 maxraj bilan kasrlarga aylantirib oling.

$$\frac{91260}{81}+\frac{68}{81}$$

\frac{91260}{81} va \frac{68}{81} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{91260+68}{81}$$

91328 olish uchun 91260 va 68'ni qo'shing.

$$\frac{91328}{81}$$

Omil

$$\frac{2 ^ {6} \cdot 1427}{3 ^ {4}} = 1127\frac{41}{81} = 1127,5061728395062$$