8/15div[5/32*(9/10+1/6)] eching

$$\frac { 8 } { 15 } \div [ \frac { 5 } { 32 } \times ( \frac { 9 } { 10 } + \frac { 1 } { 6 } ) ]$$

Baholash

$$\frac{16}{5}=3,2$$

Yechim qadamlari

10 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{9}{10} va \frac{1}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{8}{15}}{\frac{5}{32}\left(\frac{27}{30}+\frac{5}{30}\right)}$$

\frac{27}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{8}{15}}{\frac{5}{32}\times \frac{27+5}{30}}$$

32 olish uchun 27 va 5'ni qo'shing.

$$\frac{\frac{8}{15}}{\frac{5}{32}\times \frac{32}{30}}$$

\frac{32}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{8}{15}}{\frac{5}{32}\times \frac{16}{15}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{32} ni \frac{16}{15} ga ko‘paytiring.

$$\frac{\frac{8}{15}}{\frac{5\times 16}{32\times 15}}$$

\frac{5\times 16}{32\times 15} kasridagi ko‘paytirishlarni bajaring.

$$\frac{\frac{8}{15}}{\frac{80}{480}}$$

\frac{80}{480} ulushini 80 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{8}{15}}{\frac{1}{6}}$$

\frac{8}{15} ni \frac{1}{6} ga bo'lish \frac{8}{15} ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{8}{15}\times 6$$

\frac{8}{15}\times 6 ni yagona kasrga aylantiring.

$$\frac{8\times 6}{15}$$

48 hosil qilish uchun 8 va 6 ni ko'paytirish.

$$\frac{48}{15}$$

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

$$\frac{16}{5}$$

Omil

$$\frac{2 ^ {4}}{5} = 3\frac{1}{5} = 3,2$$