3/4/1/6+5^2/3/1/12/6+(8-1/4)+3 eching

$$\frac { \frac { 3 / 4 } { 1 / 6 } + \frac { 5 ^ { 2 } / 3 } { 1 / 12 } } { 6 + ( 8 - 1 / 4 ) } + 3$$

Baholash

$$\frac{53}{5}=10,6$$

Yechim qadamlari

\frac{3}{4} ni \frac{1}{6} ga bo'lish \frac{3}{4} ga k'paytirish \frac{1}{6} ga qaytarish.

$$\frac{\frac{3}{4}\times 6+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

\frac{3}{4}\times 6 ni yagona kasrga aylantiring.

$$\frac{\frac{3\times 6}{4}+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

18 hosil qilish uchun 3 va 6 ni ko'paytirish.

$$\frac{\frac{18}{4}+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

\frac{18}{4} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\frac{9}{2}+\frac{\frac{5^{2}}{3}}{\frac{1}{12}}}{6+8-\frac{1}{4}}+3$$

\frac{5^{2}}{3} ni \frac{1}{12} ga bo'lish \frac{5^{2}}{3} ga k'paytirish \frac{1}{12} ga qaytarish.

$$\frac{\frac{9}{2}+\frac{5^{2}\times 12}{3}}{6+8-\frac{1}{4}}+3$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{\frac{9}{2}+\frac{25\times 12}{3}}{6+8-\frac{1}{4}}+3$$

300 hosil qilish uchun 25 va 12 ni ko'paytirish.

$$\frac{\frac{9}{2}+\frac{300}{3}}{6+8-\frac{1}{4}}+3$$

100 ni olish uchun 300 ni 3 ga bo‘ling.

$$\frac{\frac{9}{2}+100}{6+8-\frac{1}{4}}+3$$

100 ni \frac{200}{2} kasrga o‘giring.

$$\frac{\frac{9}{2}+\frac{200}{2}}{6+8-\frac{1}{4}}+3$$

\frac{9}{2} va \frac{200}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{9+200}{2}}{6+8-\frac{1}{4}}+3$$

209 olish uchun 9 va 200'ni qo'shing.

$$\frac{\frac{209}{2}}{6+8-\frac{1}{4}}+3$$

14 olish uchun 6 va 8'ni qo'shing.

$$\frac{\frac{209}{2}}{14-\frac{1}{4}}+3$$

14 ni \frac{56}{4} kasrga o‘giring.

$$\frac{\frac{209}{2}}{\frac{56}{4}-\frac{1}{4}}+3$$

\frac{56}{4} va \frac{1}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{209}{2}}{\frac{56-1}{4}}+3$$

55 olish uchun 56 dan 1 ni ayirish.

$$\frac{\frac{209}{2}}{\frac{55}{4}}+3$$

\frac{209}{2} ni \frac{55}{4} ga bo'lish \frac{209}{2} ga k'paytirish \frac{55}{4} ga qaytarish.

$$\frac{209}{2}\times \frac{4}{55}+3$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{209}{2} ni \frac{4}{55} ga ko‘paytiring.

$$\frac{209\times 4}{2\times 55}+3$$

\frac{209\times 4}{2\times 55} kasridagi ko‘paytirishlarni bajaring.

$$\frac{836}{110}+3$$

\frac{836}{110} ulushini 22 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{38}{5}+3$$

3 ni \frac{15}{5} kasrga o‘giring.

$$\frac{38}{5}+\frac{15}{5}$$

\frac{38}{5} va \frac{15}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{38+15}{5}$$

53 olish uchun 38 va 15'ni qo'shing.

$$\frac{53}{5}$$

Omil

$$\frac{53}{5} = 10\frac{3}{5} = 10,6$$