32/3(531/4-571/8) eching

$$3 \frac { 2 } { 3 } ( 53 \frac { 1 } { 4 } - 57 \frac { 1 } { 8 } )$$

Baholash

$$-\frac{341}{24}\approx -14,208333333$$

Yechim qadamlari

9 hosil qilish uchun 3 va 3 ni ko'paytirish.

$$\frac{9+2}{3}\left(\frac{53\times 4+1}{4}-\frac{57\times 8+1}{8}\right)$$

11 olish uchun 9 va 2'ni qo'shing.

$$\frac{11}{3}\left(\frac{53\times 4+1}{4}-\frac{57\times 8+1}{8}\right)$$

212 hosil qilish uchun 53 va 4 ni ko'paytirish.

$$\frac{11}{3}\left(\frac{212+1}{4}-\frac{57\times 8+1}{8}\right)$$

213 olish uchun 212 va 1'ni qo'shing.

$$\frac{11}{3}\left(\frac{213}{4}-\frac{57\times 8+1}{8}\right)$$

456 hosil qilish uchun 57 va 8 ni ko'paytirish.

$$\frac{11}{3}\left(\frac{213}{4}-\frac{456+1}{8}\right)$$

457 olish uchun 456 va 1'ni qo'shing.

$$\frac{11}{3}\left(\frac{213}{4}-\frac{457}{8}\right)$$

4 va 8 ning eng kichik umumiy karralisi 8 ga teng. \frac{213}{4} va \frac{457}{8} ni 8 maxraj bilan kasrlarga aylantirib oling.

$$\frac{11}{3}\left(\frac{426}{8}-\frac{457}{8}\right)$$

\frac{426}{8} va \frac{457}{8} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11}{3}\times \frac{426-457}{8}$$

-31 olish uchun 426 dan 457 ni ayirish.

$$\frac{11}{3}\left(-\frac{31}{8}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{11}{3} ni -\frac{31}{8} ga ko‘paytiring.

$$\frac{11\left(-31\right)}{3\times 8}$$

\frac{11\left(-31\right)}{3\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-341}{24}$$

\frac{-341}{24} kasri manfiy belgini olib tashlash bilan -\frac{341}{24} sifatida qayta yozilishi mumkin.

$$-\frac{341}{24}$$

Omil

$$-\frac{341}{24} = -14\frac{5}{24} = -14,208333333333334$$