4/5div[(5/8-1/3)div12]= eching

$$\frac { 4 } { 5 } \div [ ( \frac { 5 } { 8 } - \frac { 1 } { 3 } ) \div 12 ] =$$

Baholash

$$\frac{1152}{35}\approx 32,914285714$$

Yechim qadamlari

\frac{4}{5} ni \frac{\frac{5}{8}-\frac{1}{3}}{12} ga bo'lish \frac{4}{5} ga k'paytirish \frac{\frac{5}{8}-\frac{1}{3}}{12} ga qaytarish.

$$\frac{4\times 12}{5\left(\frac{5}{8}-\frac{1}{3}\right)}$$

48 hosil qilish uchun 4 va 12 ni ko'paytirish.

$$\frac{48}{5\left(\frac{5}{8}-\frac{1}{3}\right)}$$

8 va 3 ning eng kichik umumiy karralisi 24 ga teng. \frac{5}{8} va \frac{1}{3} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{48}{5\left(\frac{15}{24}-\frac{8}{24}\right)}$$

\frac{15}{24} va \frac{8}{24} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{48}{5\times \frac{15-8}{24}}$$

7 olish uchun 15 dan 8 ni ayirish.

$$\frac{48}{5\times \frac{7}{24}}$$

5\times \frac{7}{24} ni yagona kasrga aylantiring.

$$\frac{48}{\frac{5\times 7}{24}}$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\frac{48}{\frac{35}{24}}$$

48 ni \frac{35}{24} ga bo'lish 48 ga k'paytirish \frac{35}{24} ga qaytarish.

$$48\times \frac{24}{35}$$

48\times \frac{24}{35} ni yagona kasrga aylantiring.

$$\frac{48\times 24}{35}$$

1152 hosil qilish uchun 48 va 24 ni ko'paytirish.

$$\frac{1152}{35}$$

Omil

$$\frac{2 ^ {7} \cdot 3 ^ {2}}{5 \cdot 7} = 32\frac{32}{35} = 32,91428571428571$$