(2-11/5)*31/3+11/8 eching

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

Baholash

$$\frac{91}{24}\approx 3,791666667$$

Yechim qadamlari

5 hosil qilish uchun 1 va 5 ni ko'paytirish.

$$\left(2-\frac{5+1}{5}\right)\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

6 olish uchun 5 va 1'ni qo'shing.

$$\left(2-\frac{6}{5}\right)\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

2 ni \frac{10}{5} kasrga o‘giring.

$$\left(\frac{10}{5}-\frac{6}{5}\right)\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

\frac{10}{5} va \frac{6}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{10-6}{5}\times \frac{3\times 3+1}{3}+\frac{1\times 8+1}{8}$$

4 olish uchun 10 dan 6 ni ayirish.

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

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

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

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

$$\frac{4}{5}\times \frac{10}{3}+\frac{1\times 8+1}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{5} ni \frac{10}{3} ga ko‘paytiring.

$$\frac{4\times 10}{5\times 3}+\frac{1\times 8+1}{8}$$

\frac{4\times 10}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{40}{15}+\frac{1\times 8+1}{8}$$

\frac{40}{15} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{3}+\frac{1\times 8+1}{8}$$

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

$$\frac{8}{3}+\frac{8+1}{8}$$

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

$$\frac{8}{3}+\frac{9}{8}$$

3 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{8}{3} va \frac{9}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{64}{24}+\frac{27}{24}$$

\frac{64}{24} va \frac{27}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{64+27}{24}$$

91 olish uchun 64 va 27'ni qo'shing.

$$\frac{91}{24}$$

Omil

$$\frac{7 \cdot 13}{2 ^ {3} \cdot 3} = 3\frac{19}{24} = 3,7916666666666665$$