3^2(5+12)-58/(frac{1{2}+5^2)div(3+21)} eching

$$\frac{ { 3 }^{ 2 } (5+12)-58 }{ ( \frac{ 1 }{ 2 } + { 5 }^{ 2 } ) \div (3+21) }$$

Baholash

$$\frac{1520}{17}\approx 89,411764706$$

Yechim qadamlari

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{9\left(5+12\right)-58}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

17 olish uchun 5 va 12'ni qo'shing.

$$\frac{9\times 17-58}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

153 hosil qilish uchun 9 va 17 ni ko'paytirish.

$$\frac{153-58}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

95 olish uchun 153 dan 58 ni ayirish.

$$\frac{95}{\frac{\frac{1}{2}+5^{2}}{3+21}}$$

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

$$\frac{95}{\frac{\frac{1}{2}+25}{3+21}}$$

25 ni \frac{50}{2} kasrga o‘giring.

$$\frac{95}{\frac{\frac{1}{2}+\frac{50}{2}}{3+21}}$$

\frac{1}{2} va \frac{50}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{95}{\frac{\frac{1+50}{2}}{3+21}}$$

51 olish uchun 1 va 50'ni qo'shing.

$$\frac{95}{\frac{\frac{51}{2}}{3+21}}$$

24 olish uchun 3 va 21'ni qo'shing.

$$\frac{95}{\frac{\frac{51}{2}}{24}}$$

\frac{\frac{51}{2}}{24} ni yagona kasrga aylantiring.

$$\frac{95}{\frac{51}{2\times 24}}$$

48 hosil qilish uchun 2 va 24 ni ko'paytirish.

$$\frac{95}{\frac{51}{48}}$$

\frac{51}{48} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{95}{\frac{17}{16}}$$

95 ni \frac{17}{16} ga bo'lish 95 ga k'paytirish \frac{17}{16} ga qaytarish.

$$95\times \frac{16}{17}$$

95\times \frac{16}{17} ni yagona kasrga aylantiring.

$$\frac{95\times 16}{17}$$

1520 hosil qilish uchun 95 va 16 ni ko'paytirish.

$$\frac{1520}{17}$$

Omil

$$\frac{2 ^ {4} \cdot 5 \cdot 19}{17} = 89\frac{7}{17} = 89,41176470588235$$