18-33-45:375/56:2frac{1{3}+25} eching

$$18 - \frac { 33 - 45 : 375 } { 56 : 2 \frac { 1 } { 3 } + 25 }$$

Baholash

$$\frac{21228}{1225}\approx 17,328979592$$

Yechim qadamlari

\frac{45}{375} ulushini 15 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$18-\frac{33-\frac{3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

33 ni \frac{825}{25} kasrga o‘giring.

$$18-\frac{\frac{825}{25}-\frac{3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

\frac{825}{25} va \frac{3}{25} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$18-\frac{\frac{825-3}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

822 olish uchun 825 dan 3 ni ayirish.

$$18-\frac{\frac{822}{25}}{\frac{56}{\frac{2\times 3+1}{3}}+25}$$

56 ni \frac{2\times 3+1}{3} ga bo'lish 56 ga k'paytirish \frac{2\times 3+1}{3} ga qaytarish.

$$18-\frac{\frac{822}{25}}{\frac{56\times 3}{2\times 3+1}+25}$$

168 hosil qilish uchun 56 va 3 ni ko'paytirish.

$$18-\frac{\frac{822}{25}}{\frac{168}{2\times 3+1}+25}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$18-\frac{\frac{822}{25}}{\frac{168}{6+1}+25}$$

7 olish uchun 6 va 1'ni qo'shing.

$$18-\frac{\frac{822}{25}}{\frac{168}{7}+25}$$

24 ni olish uchun 168 ni 7 ga bo‘ling.

$$18-\frac{\frac{822}{25}}{24+25}$$

49 olish uchun 24 va 25'ni qo'shing.

$$18-\frac{\frac{822}{25}}{49}$$

\frac{\frac{822}{25}}{49} ni yagona kasrga aylantiring.

$$18-\frac{822}{25\times 49}$$

1225 hosil qilish uchun 25 va 49 ni ko'paytirish.

$$18-\frac{822}{1225}$$

18 ni \frac{22050}{1225} kasrga o‘giring.

$$\frac{22050}{1225}-\frac{822}{1225}$$

\frac{22050}{1225} va \frac{822}{1225} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{22050-822}{1225}$$

21228 olish uchun 22050 dan 822 ni ayirish.

$$\frac{21228}{1225}$$

Omil

$$\frac{2 ^ {2} \cdot 3 \cdot 29 \cdot 61}{5 ^ {2} \cdot 7 ^ {2}} = 17\frac{403}{1225} = 17,328979591836735$$