45*30/100*22/7[(14)^2*22+4/3*(14)^3] eching

$$45 \times \frac { 30 } { 100 } \times \frac { 22 } { 7 } [ ( 14 ) ^ { 2 } \times 22 + \frac { 4 } { 3 } \times ( 14 ) ^ { 3 } ]$$

Baholash

$$338184$$

Yechim qadamlari

\frac{30}{100} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$45\times \frac{3}{10}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

45\times \frac{3}{10} ni yagona kasrga aylantiring.

$$\frac{45\times 3}{10}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

135 hosil qilish uchun 45 va 3 ni ko'paytirish.

$$\frac{135}{10}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

\frac{135}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{27}{2}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{27}{2} ni \frac{22}{7} ga ko‘paytiring.

$$\frac{27\times 22}{2\times 7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

\frac{27\times 22}{2\times 7} kasridagi ko‘paytirishlarni bajaring.

$$\frac{594}{14}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

\frac{594}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{297}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

2 daraja ko‘rsatkichini 14 ga hisoblang va 196 ni qiymatni oling.

$$\frac{297}{7}\left(196\times 22+\frac{4}{3}\times 14^{3}\right)$$

4312 hosil qilish uchun 196 va 22 ni ko'paytirish.

$$\frac{297}{7}\left(4312+\frac{4}{3}\times 14^{3}\right)$$

3 daraja ko‘rsatkichini 14 ga hisoblang va 2744 ni qiymatni oling.

$$\frac{297}{7}\left(4312+\frac{4}{3}\times 2744\right)$$

\frac{4}{3}\times 2744 ni yagona kasrga aylantiring.

$$\frac{297}{7}\left(4312+\frac{4\times 2744}{3}\right)$$

10976 hosil qilish uchun 4 va 2744 ni ko'paytirish.

$$\frac{297}{7}\left(4312+\frac{10976}{3}\right)$$

4312 ni \frac{12936}{3} kasrga o‘giring.

$$\frac{297}{7}\left(\frac{12936}{3}+\frac{10976}{3}\right)$$

\frac{12936}{3} va \frac{10976}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{297}{7}\times \frac{12936+10976}{3}$$

23912 olish uchun 12936 va 10976'ni qo'shing.

$$\frac{297}{7}\times \frac{23912}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{297}{7} ni \frac{23912}{3} ga ko‘paytiring.

$$\frac{297\times 23912}{7\times 3}$$

\frac{297\times 23912}{7\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{7101864}{21}$$

338184 ni olish uchun 7101864 ni 21 ga bo‘ling.

$$338184$$

Omil

$$2^{3}\times 3^{2}\times 7\times 11\times 61$$