left(3/7-1/21-11/3right)left(4+1/2right) eching

$$\left( \frac{ 3 }{ 7 } - \frac{ 1 }{ 21 } - \frac{ 11 }{ 3 } \right) \left( 4+ \frac{ 1 }{ 2 } \right)$$

Baholash

$$-\frac{207}{14}\approx -14,785714286$$

Yechim qadamlari

7 va 21 ning eng kichik umumiy karralisi 21 ga teng. \frac{3}{7} va \frac{1}{21} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{9}{21}-\frac{1}{21}-\frac{11}{3}\right)\left(4+\frac{1}{2}\right)$$

\frac{9}{21} va \frac{1}{21} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{9-1}{21}-\frac{11}{3}\right)\left(4+\frac{1}{2}\right)$$

8 olish uchun 9 dan 1 ni ayirish.

$$\left(\frac{8}{21}-\frac{11}{3}\right)\left(4+\frac{1}{2}\right)$$

21 va 3 ning eng kichik umumiy karralisi 21 ga teng. \frac{8}{21} va \frac{11}{3} ni 21 maxraj bilan kasrlarga aylantirib oling.

$$\left(\frac{8}{21}-\frac{77}{21}\right)\left(4+\frac{1}{2}\right)$$

\frac{8}{21} va \frac{77}{21} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{8-77}{21}\left(4+\frac{1}{2}\right)$$

-69 olish uchun 8 dan 77 ni ayirish.

$$\frac{-69}{21}\left(4+\frac{1}{2}\right)$$

\frac{-69}{21} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{23}{7}\left(4+\frac{1}{2}\right)$$

4 ni \frac{8}{2} kasrga o‘giring.

$$-\frac{23}{7}\left(\frac{8}{2}+\frac{1}{2}\right)$$

\frac{8}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$-\frac{23}{7}\times \frac{8+1}{2}$$

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

$$-\frac{23}{7}\times \frac{9}{2}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{23}{7} ni \frac{9}{2} ga ko‘paytiring.

$$\frac{-23\times 9}{7\times 2}$$

\frac{-23\times 9}{7\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{-207}{14}$$

\frac{-207}{14} kasri manfiy belgini olib tashlash bilan -\frac{207}{14} sifatida qayta yozilishi mumkin.

$$-\frac{207}{14}$$

Omil

$$-\frac{207}{14} = -14\frac{11}{14} = -14,785714285714286$$