1/8+4-(4/3*2/6-1/4)+frac{8}{5}:frac{1}{2} eching

$$\frac { 1 } { 8 } + 4 - ( \frac { 4 } { 3 } \cdot \frac { 2 } { 6 } - \frac { 1 } { 4 } ) + \frac { 8 } { 5 } : \frac { 1 } { 2 }$$

Baholash

$$\frac{2567}{360}\approx 7,130555556$$

Yechim qadamlari

4 ni \frac{32}{8} kasrga o‘giring.

$$\frac{1}{8}+\frac{32}{8}-\left(\frac{4}{3}\times \frac{2}{6}-\frac{1}{4}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

\frac{1}{8} va \frac{32}{8} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+32}{8}-\left(\frac{4}{3}\times \frac{2}{6}-\frac{1}{4}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

33 olish uchun 1 va 32'ni qo'shing.

$$\frac{33}{8}-\left(\frac{4}{3}\times \frac{2}{6}-\frac{1}{4}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

\frac{2}{6} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{33}{8}-\left(\frac{4}{3}\times \frac{1}{3}-\frac{1}{4}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{4}{3} ni \frac{1}{3} ga ko‘paytiring.

$$\frac{33}{8}-\left(\frac{4\times 1}{3\times 3}-\frac{1}{4}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

\frac{4\times 1}{3\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{33}{8}-\left(\frac{4}{9}-\frac{1}{4}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

9 va 4 ning eng kichik umumiy karralisi 36 ga teng. \frac{4}{9} va \frac{1}{4} ni 36 maxraj bilan kasrlarga aylantirib oling.

$$\frac{33}{8}-\left(\frac{16}{36}-\frac{9}{36}\right)+\frac{\frac{8}{5}}{\frac{1}{2}}$$

\frac{16}{36} va \frac{9}{36} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{33}{8}-\frac{16-9}{36}+\frac{\frac{8}{5}}{\frac{1}{2}}$$

7 olish uchun 16 dan 9 ni ayirish.

$$\frac{33}{8}-\frac{7}{36}+\frac{\frac{8}{5}}{\frac{1}{2}}$$

8 va 36 ning eng kichik umumiy karralisi 72 ga teng. \frac{33}{8} va \frac{7}{36} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{297}{72}-\frac{14}{72}+\frac{\frac{8}{5}}{\frac{1}{2}}$$

\frac{297}{72} va \frac{14}{72} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{297-14}{72}+\frac{\frac{8}{5}}{\frac{1}{2}}$$

283 olish uchun 297 dan 14 ni ayirish.

$$\frac{283}{72}+\frac{\frac{8}{5}}{\frac{1}{2}}$$

\frac{8}{5} ni \frac{1}{2} ga bo'lish \frac{8}{5} ga k'paytirish \frac{1}{2} ga qaytarish.

$$\frac{283}{72}+\frac{8}{5}\times 2$$

\frac{8}{5}\times 2 ni yagona kasrga aylantiring.

$$\frac{283}{72}+\frac{8\times 2}{5}$$

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

$$\frac{283}{72}+\frac{16}{5}$$

72 va 5 ning eng kichik umumiy karralisi 360 ga teng. \frac{283}{72} va \frac{16}{5} ni 360 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1415}{360}+\frac{1152}{360}$$

\frac{1415}{360} va \frac{1152}{360} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1415+1152}{360}$$

2567 olish uchun 1415 va 1152'ni qo'shing.

$$\frac{2567}{360}$$

Omil

$$\frac{17 \cdot 151}{2 ^ {3} \cdot 3 ^ {2} \cdot 5} = 7\frac{47}{360} = 7,1305555555555555$$