(-122/3)div14-(-81/3)div(-14)+101/3div14 eching

$$( - 12 \frac { 2 } { 3 } ) \div 14 - ( - 8 \frac { 1 } { 3 } ) \div ( - 14 ) + 10 \frac { 1 } { 3 } \div 14$$

Baholash

$$-\frac{16}{21}\approx -0,761904762$$

Yechim qadamlari

36 hosil qilish uchun 12 va 3 ni ko'paytirish.

$$\frac{-\frac{36+2}{3}}{14}-\frac{-\frac{8\times 3+1}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

38 olish uchun 36 va 2'ni qo'shing.

$$\frac{-\frac{38}{3}}{14}-\frac{-\frac{8\times 3+1}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

\frac{-\frac{38}{3}}{14} ni yagona kasrga aylantiring.

$$\frac{-38}{3\times 14}-\frac{-\frac{8\times 3+1}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

42 hosil qilish uchun 3 va 14 ni ko'paytirish.

$$\frac{-38}{42}-\frac{-\frac{8\times 3+1}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

\frac{-38}{42} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{19}{21}-\frac{-\frac{8\times 3+1}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

24 hosil qilish uchun 8 va 3 ni ko'paytirish.

$$-\frac{19}{21}-\frac{-\frac{24+1}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

25 olish uchun 24 va 1'ni qo'shing.

$$-\frac{19}{21}-\frac{-\frac{25}{3}}{-14}+\frac{\frac{10\times 3+1}{3}}{14}$$

\frac{-\frac{25}{3}}{-14} ni yagona kasrga aylantiring.

$$-\frac{19}{21}-\frac{-25}{3\left(-14\right)}+\frac{\frac{10\times 3+1}{3}}{14}$$

-42 hosil qilish uchun 3 va -14 ni ko'paytirish.

$$-\frac{19}{21}-\frac{-25}{-42}+\frac{\frac{10\times 3+1}{3}}{14}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-25}{-42} kasrini \frac{25}{42} ga soddalashtirish mumkin.

$$-\frac{19}{21}-\frac{25}{42}+\frac{\frac{10\times 3+1}{3}}{14}$$

21 va 42 ning eng kichik umumiy karralisi 42 ga teng. -\frac{19}{21} va \frac{25}{42} ni 42 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{38}{42}-\frac{25}{42}+\frac{\frac{10\times 3+1}{3}}{14}$$

-\frac{38}{42} va \frac{25}{42} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{-38-25}{42}+\frac{\frac{10\times 3+1}{3}}{14}$$

-63 olish uchun -38 dan 25 ni ayirish.

$$\frac{-63}{42}+\frac{\frac{10\times 3+1}{3}}{14}$$

\frac{-63}{42} ulushini 21 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{3}{2}+\frac{\frac{10\times 3+1}{3}}{14}$$

\frac{\frac{10\times 3+1}{3}}{14} ni yagona kasrga aylantiring.

$$-\frac{3}{2}+\frac{10\times 3+1}{3\times 14}$$

30 hosil qilish uchun 10 va 3 ni ko'paytirish.

$$-\frac{3}{2}+\frac{30+1}{3\times 14}$$

31 olish uchun 30 va 1'ni qo'shing.

$$-\frac{3}{2}+\frac{31}{3\times 14}$$

42 hosil qilish uchun 3 va 14 ni ko'paytirish.

$$-\frac{3}{2}+\frac{31}{42}$$

2 va 42 ning eng kichik umumiy karralisi 42 ga teng. -\frac{3}{2} va \frac{31}{42} ni 42 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{63}{42}+\frac{31}{42}$$

-\frac{63}{42} va \frac{31}{42} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-63+31}{42}$$

-32 olish uchun -63 va 31'ni qo'shing.

$$\frac{-32}{42}$$

\frac{-32}{42} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{16}{21}$$

Omil

$$-\frac{16}{21} = -0,7619047619047619$$