5/6*(7/4-3/8)+5/2= eching

$$\frac { 5 } { 6 } \cdot ( \frac { 7 } { 4 } - \frac { 3 } { 8 } ) + \frac { 5 } { 2 } =$$

Baholash

$$\frac{175}{48}\approx 3,645833333$$

Yechim qadamlari

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{7}{4} va \frac{3}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{6}\left(\frac{14}{8}-\frac{3}{8}\right)+\frac{5}{2}$$

\frac{14}{8} va \frac{3}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{5}{6}\times \frac{14-3}{8}+\frac{5}{2}$$

11 olish uchun 14 dan 3 ni ayirish.

$$\frac{5}{6}\times \frac{11}{8}+\frac{5}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{6} ni \frac{11}{8} ga ko‘paytiring.

$$\frac{5\times 11}{6\times 8}+\frac{5}{2}$$

\frac{5\times 11}{6\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{55}{48}+\frac{5}{2}$$

48 va 2 ning eng kichik umumiy karralisi 48 ga teng. \frac{55}{48} va \frac{5}{2} ni 48 maxraj bilan kasrlarga aylantirib oling.

$$\frac{55}{48}+\frac{120}{48}$$

\frac{55}{48} va \frac{120}{48} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{55+120}{48}$$

175 olish uchun 55 va 120'ni qo'shing.

$$\frac{175}{48}$$

Omil

$$\frac{5 ^ {2} \cdot 7}{2 ^ {4} \cdot 3} = 3\frac{31}{48} = 3,6458333333333335$$