1/5+1/6+1/7 eching

$$\frac { 1 } { 5 } + \frac { 1 } { 6 } + \frac { 1 } { 7 }$$

Baholash

$$\frac{107}{210}\approx 0,50952381$$

Yechim qadamlari

5 va 6 ning eng kichik umumiy karralisi 30 ga teng. \frac{1}{5} va \frac{1}{6} ni 30 maxraj bilan kasrlarga aylantirib oling.

$$\frac{6}{30}+\frac{5}{30}+\frac{1}{7}$$

\frac{6}{30} va \frac{5}{30} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{6+5}{30}+\frac{1}{7}$$

11 olish uchun 6 va 5'ni qo'shing.

$$\frac{11}{30}+\frac{1}{7}$$

30 va 7 ning eng kichik umumiy karralisi 210 ga teng. \frac{11}{30} va \frac{1}{7} ni 210 maxraj bilan kasrlarga aylantirib oling.

$$\frac{77}{210}+\frac{30}{210}$$

\frac{77}{210} va \frac{30}{210} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{77+30}{210}$$

107 olish uchun 77 va 30'ni qo'shing.

$$\frac{107}{210}$$

Omil

$$\frac{107}{2 \cdot 3 \cdot 5 \cdot 7} = 0,5095238095238095$$