[22/3*{21/4div(11/8+21/4-1frac{1}{2})}]-1frac{2}{3}-frac{2}{5} eching

$$[ 2 \frac { 2 } { 3 } \times \{ 2 \frac { 1 } { 4 } \div ( 1 \frac { 1 } { 8 } + 2 \frac { 1 } { 4 } - 1 \frac { 1 } { 2 } ) \} ] - 1 \frac { 2 } { 3 } - \frac { 2 } { 5 }$$

Baholash

$$\frac{17}{15}\approx 1,133333333$$

Yechim qadamlari

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{6+2}{3}\times \frac{\frac{2\times 4+1}{4}}{\frac{1\times 8+1}{8}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

8 olish uchun 6 va 2'ni qo'shing.

$$\frac{8}{3}\times \frac{\frac{2\times 4+1}{4}}{\frac{1\times 8+1}{8}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

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

$$\frac{8}{3}\times \frac{\frac{8+1}{4}}{\frac{1\times 8+1}{8}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

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

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{1\times 8+1}{8}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

8 hosil qilish uchun 1 va 8 ni ko'paytirish.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{8+1}{8}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

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

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{9}{8}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

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

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{9}{8}+\frac{8+1}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

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

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{9}{8}+\frac{9}{4}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

8 va 4 ning eng kichik umumiy karralisi 8 ga teng. \frac{9}{8} va \frac{9}{4} ni 8 maxraj bilan kasrlarga aylantirib oling.

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

\frac{9}{8} va \frac{18}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

27 olish uchun 9 va 18'ni qo'shing.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{27}{8}-\frac{1\times 2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{27}{8}-\frac{2+1}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{27}{8}-\frac{3}{2}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

8 va 2 ning eng kichik umumiy karralisi 8 ga teng. \frac{27}{8} va \frac{3}{2} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{27}{8}-\frac{12}{8}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

\frac{27}{8} va \frac{12}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{27-12}{8}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

15 olish uchun 27 dan 12 ni ayirish.

$$\frac{8}{3}\times \frac{\frac{9}{4}}{\frac{15}{8}}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

\frac{9}{4} ni \frac{15}{8} ga bo'lish \frac{9}{4} ga k'paytirish \frac{15}{8} ga qaytarish.

$$\frac{8}{3}\times \frac{9}{4}\times \frac{8}{15}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{4} ni \frac{8}{15} ga ko‘paytiring.

$$\frac{8}{3}\times \frac{9\times 8}{4\times 15}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

\frac{9\times 8}{4\times 15} kasridagi ko‘paytirishlarni bajaring.

$$\frac{8}{3}\times \frac{72}{60}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

\frac{72}{60} ulushini 12 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{3} ni \frac{6}{5} ga ko‘paytiring.

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

\frac{8\times 6}{3\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{48}{15}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

\frac{48}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{16}{5}-\frac{1\times 3+2}{3}-\frac{2}{5}$$

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

$$\frac{16}{5}-\frac{3+2}{3}-\frac{2}{5}$$

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

$$\frac{16}{5}-\frac{5}{3}-\frac{2}{5}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{16}{5} va \frac{5}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{48}{15}-\frac{25}{15}-\frac{2}{5}$$

\frac{48}{15} va \frac{25}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{48-25}{15}-\frac{2}{5}$$

23 olish uchun 48 dan 25 ni ayirish.

$$\frac{23}{15}-\frac{2}{5}$$

15 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{23}{15} va \frac{2}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{23}{15}-\frac{6}{15}$$

\frac{23}{15} va \frac{6}{15} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{23-6}{15}$$

17 olish uchun 23 dan 6 ni ayirish.

$$\frac{17}{15}$$

Omil

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1,1333333333333333$$