E=-3/2div(8/12-5/4) eching

$$E = \frac { - 3 } { 2 } \div ( \frac { 8 } { 12 } - \frac { 5 } { 4 } )$$

E uchun yechish

$$E = \frac{18}{7} = 2\frac{4}{7} \approx 2,571428571$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{-3}{2} kasri manfiy belgini olib tashlash bilan -\frac{3}{2} sifatida qayta yozilishi mumkin.

$$E=\frac{-\frac{3}{2}}{\frac{8}{12}-\frac{5}{4}}$$

\frac{8}{12} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$E=\frac{-\frac{3}{2}}{\frac{2}{3}-\frac{5}{4}}$$

3 va 4 ning eng kichik umumiy karralisi 12 ga teng. \frac{2}{3} va \frac{5}{4} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$E=\frac{-\frac{3}{2}}{\frac{8}{12}-\frac{15}{12}}$$

\frac{8}{12} va \frac{15}{12} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$E=\frac{-\frac{3}{2}}{\frac{8-15}{12}}$$

-7 olish uchun 8 dan 15 ni ayirish.

$$E=\frac{-\frac{3}{2}}{-\frac{7}{12}}$$

-\frac{3}{2} ni -\frac{7}{12} ga bo'lish -\frac{3}{2} ga k'paytirish -\frac{7}{12} ga qaytarish.

$$E=-\frac{3}{2}\left(-\frac{12}{7}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{3}{2} ni -\frac{12}{7} ga ko‘paytiring.

$$E=\frac{-3\left(-12\right)}{2\times 7}$$

\frac{-3\left(-12\right)}{2\times 7} kasridagi ko‘paytirishlarni bajaring.

$$E=\frac{36}{14}$$

\frac{36}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$E=\frac{18}{7}$$

E'ni tayinlash

$$E≔\frac{18}{7}$$