[194/900-244/99]*(3/7-(-5/2)) eching

$$[ \frac { 194 } { 900 } - \frac { 244 } { 99 } ] \cdot ( \frac { 3 } { 7 } - ( - \frac { 5 } { 2 } ) )$$

Baholash

$$-\frac{50717}{7700}\approx -6,586623377$$

Yechim qadamlari

\frac{194}{900} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\left(\frac{97}{450}-\frac{244}{99}\right)\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

450 va 99 ning eng kichik umumiy karralisi 4950 ga teng. \frac{97}{450} va \frac{244}{99} ni 4950 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{1067}{4950}-\frac{12200}{4950}\right)\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

\frac{1067}{4950} va \frac{12200}{4950} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1067-12200}{4950}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

-11133 olish uchun 1067 dan 12200 ni ayirish.

$$\frac{-11133}{4950}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

\frac{-11133}{4950} ulushini 9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{1237}{550}\left(\frac{3}{7}-\left(-\frac{5}{2}\right)\right)$$

-\frac{5}{2} ning teskarisi \frac{5}{2} ga teng.

$$-\frac{1237}{550}\left(\frac{3}{7}+\frac{5}{2}\right)$$

7 va 2 ning eng kichik umumiy karralisi 14 ga teng. \frac{3}{7} va \frac{5}{2} ni 14 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{1237}{550}\left(\frac{6}{14}+\frac{35}{14}\right)$$

\frac{6}{14} va \frac{35}{14} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{1237}{550}\times \frac{6+35}{14}$$

41 olish uchun 6 va 35'ni qo'shing.

$$-\frac{1237}{550}\times \frac{41}{14}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{1237}{550} ni \frac{41}{14} ga ko‘paytiring.

$$\frac{-1237\times 41}{550\times 14}$$

\frac{-1237\times 41}{550\times 14} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-50717}{7700}$$

\frac{-50717}{7700} kasri manfiy belgini olib tashlash bilan -\frac{50717}{7700} sifatida qayta yozilishi mumkin.

$$-\frac{50717}{7700}$$

Omil

$$-\frac{50717}{7700} = -6\frac{4517}{7700} = -6,586623376623376$$