1/9+1/8+-1/7+7/6 eching

$$\frac { 1 } { 9 } + \frac { 1 } { 8 } + \frac { - 1 } { 7 } + \frac { 7 } { 6 }$$

Baholash

$$\frac{635}{504}\approx 1,259920635$$

Yechim qadamlari

9 va 8 ning eng kichik umumiy karralisi 72 ga teng. \frac{1}{9} va \frac{1}{8} ni 72 maxraj bilan kasrlarga aylantirib oling.

$$\frac{8}{72}+\frac{9}{72}+\frac{-1}{7}+\frac{7}{6}$$

\frac{8}{72} va \frac{9}{72} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{8+9}{72}+\frac{-1}{7}+\frac{7}{6}$$

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

$$\frac{17}{72}+\frac{-1}{7}+\frac{7}{6}$$

\frac{-1}{7} kasri manfiy belgini olib tashlash bilan -\frac{1}{7} sifatida qayta yozilishi mumkin.

$$\frac{17}{72}-\frac{1}{7}+\frac{7}{6}$$

72 va 7 ning eng kichik umumiy karralisi 504 ga teng. \frac{17}{72} va \frac{1}{7} ni 504 maxraj bilan kasrlarga aylantirib oling.

$$\frac{119}{504}-\frac{72}{504}+\frac{7}{6}$$

\frac{119}{504} va \frac{72}{504} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{119-72}{504}+\frac{7}{6}$$

47 olish uchun 119 dan 72 ni ayirish.

$$\frac{47}{504}+\frac{7}{6}$$

504 va 6 ning eng kichik umumiy karralisi 504 ga teng. \frac{47}{504} va \frac{7}{6} ni 504 maxraj bilan kasrlarga aylantirib oling.

$$\frac{47}{504}+\frac{588}{504}$$

\frac{47}{504} va \frac{588}{504} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{47+588}{504}$$

635 olish uchun 47 va 588'ni qo'shing.

$$\frac{635}{504}$$

Omil

$$\frac{5 \cdot 127}{2 ^ {3} \cdot 3 ^ {2} \cdot 7} = 1\frac{131}{504} = 1,2599206349206349$$