15/28*(75/7:33/5-1/7)+5frac{5}{6}:frac{5}{12} eching

$$1 \frac { 5 } { 28 } \cdot ( 7 \frac { 5 } { 7 } : 3 \frac { 3 } { 5 } - \frac { 1 } { 7 } ) + 5 \frac { 5 } { 6 } : \frac { 5 } { 12 }$$

Baholash

$$\frac{229}{14}\approx 16,357142857$$

Yechim qadamlari

28 hosil qilish uchun 1 va 28 ni ko'paytirish.

$$\frac{28+5}{28}\left(\frac{\frac{7\times 7+5}{7}}{\frac{3\times 5+3}{5}}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

33 olish uchun 28 va 5'ni qo'shing.

$$\frac{33}{28}\left(\frac{\frac{7\times 7+5}{7}}{\frac{3\times 5+3}{5}}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

\frac{7\times 7+5}{7} ni \frac{3\times 5+3}{5} ga bo'lish \frac{7\times 7+5}{7} ga k'paytirish \frac{3\times 5+3}{5} ga qaytarish.

$$\frac{33}{28}\left(\frac{\left(7\times 7+5\right)\times 5}{7\left(3\times 5+3\right)}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

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

$$\frac{33}{28}\left(\frac{\left(49+5\right)\times 5}{7\left(3\times 5+3\right)}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

54 olish uchun 49 va 5'ni qo'shing.

$$\frac{33}{28}\left(\frac{54\times 5}{7\left(3\times 5+3\right)}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

270 hosil qilish uchun 54 va 5 ni ko'paytirish.

$$\frac{33}{28}\left(\frac{270}{7\left(3\times 5+3\right)}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{33}{28}\left(\frac{270}{7\left(15+3\right)}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

18 olish uchun 15 va 3'ni qo'shing.

$$\frac{33}{28}\left(\frac{270}{7\times 18}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

126 hosil qilish uchun 7 va 18 ni ko'paytirish.

$$\frac{33}{28}\left(\frac{270}{126}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

\frac{270}{126} ulushini 18 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{33}{28}\left(\frac{15}{7}-\frac{1}{7}\right)+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

\frac{15}{7} va \frac{1}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{33}{28}\times \frac{15-1}{7}+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

14 olish uchun 15 dan 1 ni ayirish.

$$\frac{33}{28}\times \frac{14}{7}+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

2 ni olish uchun 14 ni 7 ga bo‘ling.

$$\frac{33}{28}\times 2+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

\frac{33}{28}\times 2 ni yagona kasrga aylantiring.

$$\frac{33\times 2}{28}+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

66 hosil qilish uchun 33 va 2 ni ko'paytirish.

$$\frac{66}{28}+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

\frac{66}{28} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{33}{14}+\frac{\frac{5\times 6+5}{6}}{\frac{5}{12}}$$

\frac{5\times 6+5}{6} ni \frac{5}{12} ga bo'lish \frac{5\times 6+5}{6} ga k'paytirish \frac{5}{12} ga qaytarish.

$$\frac{33}{14}+\frac{\left(5\times 6+5\right)\times 12}{6\times 5}$$

Surat va maxrajdagi ikkala 6 ni qisqartiring.

$$\frac{33}{14}+\frac{2\left(5+5\times 6\right)}{5}$$

30 hosil qilish uchun 5 va 6 ni ko'paytirish.

$$\frac{33}{14}+\frac{2\left(5+30\right)}{5}$$

35 olish uchun 5 va 30'ni qo'shing.

$$\frac{33}{14}+\frac{2\times 35}{5}$$

70 hosil qilish uchun 2 va 35 ni ko'paytirish.

$$\frac{33}{14}+\frac{70}{5}$$

14 ni olish uchun 70 ni 5 ga bo‘ling.

$$\frac{33}{14}+14$$

14 ni \frac{196}{14} kasrga o‘giring.

$$\frac{33}{14}+\frac{196}{14}$$

\frac{33}{14} va \frac{196}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{33+196}{14}$$

229 olish uchun 33 va 196'ni qo'shing.

$$\frac{229}{14}$$

Omil

$$\frac{229}{2 \cdot 7} = 16\frac{5}{14} = 16,357142857142858$$