(52/5-365)*(43/10-27)=? eching

$$( 5 \frac { 2 } { 5 } - 365 ) \cdot ( 4 \frac { 3 } { 10 } - 27 ) = ?$$

Baholash

$$\frac{204073}{25}=8162,92$$

Yechim qadamlari

25 hosil qilish uchun 5 va 5 ni ko'paytirish.

$$\left(\frac{25+2}{5}-365\right)\left(\frac{4\times 10+3}{10}-27\right)$$

27 olish uchun 25 va 2'ni qo'shing.

$$\left(\frac{27}{5}-365\right)\left(\frac{4\times 10+3}{10}-27\right)$$

365 ni \frac{1825}{5} kasrga o‘giring.

$$\left(\frac{27}{5}-\frac{1825}{5}\right)\left(\frac{4\times 10+3}{10}-27\right)$$

\frac{27}{5} va \frac{1825}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{27-1825}{5}\left(\frac{4\times 10+3}{10}-27\right)$$

-1798 olish uchun 27 dan 1825 ni ayirish.

$$-\frac{1798}{5}\left(\frac{4\times 10+3}{10}-27\right)$$

40 hosil qilish uchun 4 va 10 ni ko'paytirish.

$$-\frac{1798}{5}\left(\frac{40+3}{10}-27\right)$$

43 olish uchun 40 va 3'ni qo'shing.

$$-\frac{1798}{5}\left(\frac{43}{10}-27\right)$$

27 ni \frac{270}{10} kasrga o‘giring.

$$-\frac{1798}{5}\left(\frac{43}{10}-\frac{270}{10}\right)$$

\frac{43}{10} va \frac{270}{10} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$-\frac{1798}{5}\times \frac{43-270}{10}$$

-227 olish uchun 43 dan 270 ni ayirish.

$$-\frac{1798}{5}\left(-\frac{227}{10}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1798}{5} ni -\frac{227}{10} ga ko‘paytiring.

$$\frac{-1798\left(-227\right)}{5\times 10}$$

\frac{-1798\left(-227\right)}{5\times 10} kasridagi ko‘paytirishlarni bajaring.

$$\frac{408146}{50}$$

\frac{408146}{50} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{204073}{25}$$

Omil

$$\frac{29 \cdot 31 \cdot 227}{5 ^ {2}} = 8162\frac{23}{25} = 8162,92$$