3+[8-5div{4-2div(2+8/13)}] eching

$$3 + [ 8 - 5 \div \{ 4 - 2 \div ( 2 + \frac { 8 } { 13 } ) \} ]$$

Baholash

$$\frac{104}{11}\approx 9,454545455$$

Yechim qadamlari

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

$$11-\frac{5}{4-\frac{2}{2+\frac{8}{13}}}$$

2 ni \frac{26}{13} kasrga o‘giring.

$$11-\frac{5}{4-\frac{2}{\frac{26}{13}+\frac{8}{13}}}$$

\frac{26}{13} va \frac{8}{13} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$11-\frac{5}{4-\frac{2}{\frac{26+8}{13}}}$$

34 olish uchun 26 va 8'ni qo'shing.

$$11-\frac{5}{4-\frac{2}{\frac{34}{13}}}$$

2 ni \frac{34}{13} ga bo'lish 2 ga k'paytirish \frac{34}{13} ga qaytarish.

$$11-\frac{5}{4-2\times \frac{13}{34}}$$

2\times \frac{13}{34} ni yagona kasrga aylantiring.

$$11-\frac{5}{4-\frac{2\times 13}{34}}$$

26 hosil qilish uchun 2 va 13 ni ko'paytirish.

$$11-\frac{5}{4-\frac{26}{34}}$$

\frac{26}{34} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$11-\frac{5}{4-\frac{13}{17}}$$

4 ni \frac{68}{17} kasrga o‘giring.

$$11-\frac{5}{\frac{68}{17}-\frac{13}{17}}$$

\frac{68}{17} va \frac{13}{17} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$11-\frac{5}{\frac{68-13}{17}}$$

55 olish uchun 68 dan 13 ni ayirish.

$$11-\frac{5}{\frac{55}{17}}$$

5 ni \frac{55}{17} ga bo'lish 5 ga k'paytirish \frac{55}{17} ga qaytarish.

$$11-5\times \frac{17}{55}$$

5\times \frac{17}{55} ni yagona kasrga aylantiring.

$$11-\frac{5\times 17}{55}$$

85 hosil qilish uchun 5 va 17 ni ko'paytirish.

$$11-\frac{85}{55}$$

\frac{85}{55} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$11-\frac{17}{11}$$

11 ni \frac{121}{11} kasrga o‘giring.

$$\frac{121}{11}-\frac{17}{11}$$

\frac{121}{11} va \frac{17}{11} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{121-17}{11}$$

104 olish uchun 121 dan 17 ni ayirish.

$$\frac{104}{11}$$

Omil

$$\frac{2 ^ {3} \cdot 13}{11} = 9\frac{5}{11} = 9,454545454545455$$