075*21/7+3/4*73/7+75*1/7 eching

$$075 \times 2 \frac{ 1 }{ 7 } + \frac{ 3 }{ 4 } \times 7 \frac{ 3 }{ 7 } +75 \times \frac{ 1 }{ 7 }$$

Baholash

$$\frac{114}{7}\approx 16,285714286$$

Yechim qadamlari

0 hosil qilish uchun 0 va 75 ni ko'paytirish.

$$0\times \frac{2\times 7+1}{7}+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

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

$$0\times \frac{14+1}{7}+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

15 olish uchun 14 va 1'ni qo'shing.

$$0\times \frac{15}{7}+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

0 hosil qilish uchun 0 va \frac{15}{7} ni ko'paytirish.

$$0+\frac{3}{4}\times \frac{7\times 7+3}{7}+75\times \frac{1}{7}$$

49 hosil qilish uchun 7 va 7 ni ko'paytirish.

$$0+\frac{3}{4}\times \frac{49+3}{7}+75\times \frac{1}{7}$$

52 olish uchun 49 va 3'ni qo'shing.

$$0+\frac{3}{4}\times \frac{52}{7}+75\times \frac{1}{7}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3}{4} ni \frac{52}{7} ga ko‘paytiring.

$$0+\frac{3\times 52}{4\times 7}+75\times \frac{1}{7}$$

\frac{3\times 52}{4\times 7} kasridagi ko‘paytirishlarni bajaring.

$$0+\frac{156}{28}+75\times \frac{1}{7}$$

\frac{156}{28} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$0+\frac{39}{7}+75\times \frac{1}{7}$$

\frac{39}{7} olish uchun 0 va \frac{39}{7}'ni qo'shing.

$$\frac{39}{7}+75\times \frac{1}{7}$$

\frac{75}{7} hosil qilish uchun 75 va \frac{1}{7} ni ko'paytirish.

$$\frac{39}{7}+\frac{75}{7}$$

\frac{39}{7} va \frac{75}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{39+75}{7}$$

114 olish uchun 39 va 75'ni qo'shing.

$$\frac{114}{7}$$

Omil

$$\frac{2 \cdot 3 \cdot 19}{7} = 16\frac{2}{7} = 16,285714285714285$$