=41/2(381/4-411/8) eching

$$= 4 \frac { 1 } { 2 } ( 38 \frac { 1 } { 4 } - 41 \frac { 1 } { 8 } )$$

Baholash

$$-\frac{207}{16}=-12,9375$$

Yechim qadamlari

8 hosil qilish uchun 4 va 2 ni ko'paytirish.

$$\frac{8+1}{2}\left(\frac{38\times 4+1}{4}-\frac{41\times 8+1}{8}\right)$$

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{9}{2}\left(\frac{38\times 4+1}{4}-\frac{41\times 8+1}{8}\right)$$

152 hosil qilish uchun 38 va 4 ni ko'paytirish.

$$\frac{9}{2}\left(\frac{152+1}{4}-\frac{41\times 8+1}{8}\right)$$

153 olish uchun 152 va 1'ni qo'shing.

$$\frac{9}{2}\left(\frac{153}{4}-\frac{41\times 8+1}{8}\right)$$

328 hosil qilish uchun 41 va 8 ni ko'paytirish.

$$\frac{9}{2}\left(\frac{153}{4}-\frac{328+1}{8}\right)$$

329 olish uchun 328 va 1'ni qo'shing.

$$\frac{9}{2}\left(\frac{153}{4}-\frac{329}{8}\right)$$

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{153}{4} va \frac{329}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{9}{2}\left(\frac{306}{8}-\frac{329}{8}\right)$$

\frac{306}{8} va \frac{329}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{9}{2}\times \frac{306-329}{8}$$

-23 olish uchun 306 dan 329 ni ayirish.

$$\frac{9}{2}\left(-\frac{23}{8}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{9}{2} ni -\frac{23}{8} ga ko‘paytiring.

$$\frac{9\left(-23\right)}{2\times 8}$$

\frac{9\left(-23\right)}{2\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-207}{16}$$

\frac{-207}{16} kasri manfiy belgini olib tashlash bilan -\frac{207}{16} sifatida qayta yozilishi mumkin.

$$-\frac{207}{16}$$

Omil

$$-\frac{207}{16} = -12\frac{15}{16} = -12,9375$$