1/6+1/5+1/17+1/2 eching

$$\frac { 1 } { 6 } + \frac { 1 } { 5 } + \frac { 1 } { 17 } + \frac { 1 } { 2 }$$

Baholash

$$\frac{236}{255}\approx 0,925490196$$

Yechim qadamlari

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

$$\frac{5}{30}+\frac{6}{30}+\frac{1}{17}+\frac{1}{2}$$

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

$$\frac{5+6}{30}+\frac{1}{17}+\frac{1}{2}$$

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

$$\frac{11}{30}+\frac{1}{17}+\frac{1}{2}$$

30 va 17 ning eng kichik umumiy karralisi 510 ga teng. \frac{11}{30} va \frac{1}{17} ni 510 maxraj bilan kasrlarga aylantirib oling.

$$\frac{187}{510}+\frac{30}{510}+\frac{1}{2}$$

\frac{187}{510} va \frac{30}{510} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{187+30}{510}+\frac{1}{2}$$

217 olish uchun 187 va 30'ni qo'shing.

$$\frac{217}{510}+\frac{1}{2}$$

510 va 2 ning eng kichik umumiy karralisi 510 ga teng. \frac{217}{510} va \frac{1}{2} ni 510 maxraj bilan kasrlarga aylantirib oling.

$$\frac{217}{510}+\frac{255}{510}$$

\frac{217}{510} va \frac{255}{510} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{217+255}{510}$$

472 olish uchun 217 va 255'ni qo'shing.

$$\frac{472}{510}$$

\frac{472}{510} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{236}{255}$$

Omil

$$\frac{2 ^ {2} \cdot 59}{3 \cdot 5 \cdot 17} = 0,9254901960784314$$