8/5/frac{2{25}-5/16}25 eching

$$\frac{ \frac{ 8 }{ 5 } }{ \frac{ 2 }{ 25 } - \frac{ 5 }{ 16 } } 25$$

Baholash

$$-\frac{16000}{93}\approx -172,043010753$$

Yechim qadamlari

25 va 16 ning eng kichik umumiy karralisi 400 ga teng. \frac{2}{25} va \frac{5}{16} ni 400 maxraj bilan kasrlarga aylantirib oling.

$$\frac{\frac{8}{5}}{\frac{32}{400}-\frac{125}{400}}\times 25$$

\frac{32}{400} va \frac{125}{400} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{8}{5}}{\frac{32-125}{400}}\times 25$$

-93 olish uchun 32 dan 125 ni ayirish.

$$\frac{\frac{8}{5}}{-\frac{93}{400}}\times 25$$

\frac{8}{5} ni -\frac{93}{400} ga bo'lish \frac{8}{5} ga k'paytirish -\frac{93}{400} ga qaytarish.

$$\frac{8}{5}\left(-\frac{400}{93}\right)\times 25$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{5} ni -\frac{400}{93} ga ko‘paytiring.

$$\frac{8\left(-400\right)}{5\times 93}\times 25$$

\frac{8\left(-400\right)}{5\times 93} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-3200}{465}\times 25$$

\frac{-3200}{465} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{640}{93}\times 25$$

-\frac{640}{93}\times 25 ni yagona kasrga aylantiring.

$$\frac{-640\times 25}{93}$$

-16000 hosil qilish uchun -640 va 25 ni ko'paytirish.

$$\frac{-16000}{93}$$

\frac{-16000}{93} kasri manfiy belgini olib tashlash bilan -\frac{16000}{93} sifatida qayta yozilishi mumkin.

$$-\frac{16000}{93}$$

Omil

$$-\frac{16000}{93} = -172\frac{4}{93} = -172,04301075268816$$