n/3n-3n/n*3n/n-3n eching

$$\frac { n } { 3 n } - \frac { 3 n } { n } \times \frac { 3 n } { n - 3 n }$$

Baholash

$$\frac{29}{6}\approx 4,833333333$$

Yechim qadamlari

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\frac{1}{3}-\frac{3n}{n}\times \frac{3n}{n-3n}$$

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\frac{1}{3}-3\times \frac{3n}{n-3n}$$

-2n ni olish uchun n va -3n ni birlashtirish.

$$\frac{1}{3}-3\times \frac{3n}{-2n}$$

Surat va maxrajdagi ikkala n ni qisqartiring.

$$\frac{1}{3}-3\times \frac{3}{-2}$$

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

$$\frac{1}{3}-3\left(-\frac{3}{2}\right)$$

3\left(-\frac{3}{2}\right) ni yagona kasrga aylantiring.

$$\frac{1}{3}-\frac{3\left(-3\right)}{2}$$

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

$$\frac{1}{3}-\frac{-9}{2}$$

\frac{-9}{2} kasri manfiy belgini olib tashlash bilan -\frac{9}{2} sifatida qayta yozilishi mumkin.

$$\frac{1}{3}-\left(-\frac{9}{2}\right)$$

-\frac{9}{2} ning teskarisi \frac{9}{2} ga teng.

$$\frac{1}{3}+\frac{9}{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{3} va \frac{9}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2}{6}+\frac{27}{6}$$

\frac{2}{6} va \frac{27}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2+27}{6}$$

29 olish uchun 2 va 27'ni qo'shing.

$$\frac{29}{6}$$

Omil

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4,833333333333333$$