1/3+1/5+1/7+1/9 eching

$$\frac { 1 } { 3 } + \frac { 1 } { 5 } + \frac { 1 } { 7 } + \frac { 1 } { 9 }$$

Baholash

$$\frac{248}{315}\approx 0,787301587$$

Yechim qadamlari

3 va 5 ning eng kichik umumiy karralisi 15 ga teng. \frac{1}{3} va \frac{1}{5} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{15}+\frac{3}{15}+\frac{1}{7}+\frac{1}{9}$$

\frac{5}{15} va \frac{3}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+3}{15}+\frac{1}{7}+\frac{1}{9}$$

8 olish uchun 5 va 3'ni qo'shing.

$$\frac{8}{15}+\frac{1}{7}+\frac{1}{9}$$

15 va 7 ning eng kichik umumiy karralisi 105 ga teng. \frac{8}{15} va \frac{1}{7} ni 105 maxraj bilan kasrlarga aylantirib oling.

$$\frac{56}{105}+\frac{15}{105}+\frac{1}{9}$$

\frac{56}{105} va \frac{15}{105} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{56+15}{105}+\frac{1}{9}$$

71 olish uchun 56 va 15'ni qo'shing.

$$\frac{71}{105}+\frac{1}{9}$$

105 va 9 ning eng kichik umumiy karralisi 315 ga teng. \frac{71}{105} va \frac{1}{9} ni 315 maxraj bilan kasrlarga aylantirib oling.

$$\frac{213}{315}+\frac{35}{315}$$

\frac{213}{315} va \frac{35}{315} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{213+35}{315}$$

248 olish uchun 213 va 35'ni qo'shing.

$$\frac{248}{315}$$

Omil

$$\frac{2 ^ {3} \cdot 31}{3 ^ {2} \cdot 5 \cdot 7} = 0,7873015873015873$$