152/5-(24/7+63/4) eching

$$15 \frac{ 2 }{ 5 } -(2 \frac{ 4 }{ 7 } +6 \frac{ 3 }{ 4 } )$$

Baholash

$$\frac{851}{140}\approx 6,078571429$$

Yechim qadamlari

75 hosil qilish uchun 15 va 5 ni ko'paytirish.

$$\frac{75+2}{5}-\left(\frac{2\times 7+4}{7}+\frac{6\times 4+3}{4}\right)$$

77 olish uchun 75 va 2'ni qo'shing.

$$\frac{77}{5}-\left(\frac{2\times 7+4}{7}+\frac{6\times 4+3}{4}\right)$$

14 hosil qilish uchun 2 va 7 ni ko'paytirish.

$$\frac{77}{5}-\left(\frac{14+4}{7}+\frac{6\times 4+3}{4}\right)$$

18 olish uchun 14 va 4'ni qo'shing.

$$\frac{77}{5}-\left(\frac{18}{7}+\frac{6\times 4+3}{4}\right)$$

24 hosil qilish uchun 6 va 4 ni ko'paytirish.

$$\frac{77}{5}-\left(\frac{18}{7}+\frac{24+3}{4}\right)$$

27 olish uchun 24 va 3'ni qo'shing.

$$\frac{77}{5}-\left(\frac{18}{7}+\frac{27}{4}\right)$$

7 va 4 ning eng kichik umumiy karralisi 28 ga teng. \frac{18}{7} va \frac{27}{4} ni 28 maxraj bilan kasrlarga aylantirib oling.

$$\frac{77}{5}-\left(\frac{72}{28}+\frac{189}{28}\right)$$

\frac{72}{28} va \frac{189}{28} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{77}{5}-\frac{72+189}{28}$$

261 olish uchun 72 va 189'ni qo'shing.

$$\frac{77}{5}-\frac{261}{28}$$

5 va 28 ning eng kichik umumiy karralisi 140 ga teng. \frac{77}{5} va \frac{261}{28} ni 140 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2156}{140}-\frac{1305}{140}$$

\frac{2156}{140} va \frac{1305}{140} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2156-1305}{140}$$

851 olish uchun 2156 dan 1305 ni ayirish.

$$\frac{851}{140}$$

Omil

$$\frac{23 \cdot 37}{2 ^ {2} \cdot 5 \cdot 7} = 6\frac{11}{140} = 6,078571428571428$$