13/14+75/21+19/24 eching

$$1 \frac { 3 } { 14 } + 7 \frac { 5 } { 21 } + \frac{ 19 }{ 24 }$$

Baholash

$$\frac{1553}{168}\approx 9,244047619$$

Yechim qadamlari

14 hosil qilish uchun 1 va 14 ni ko'paytirish.

$$\frac{14+3}{14}+\frac{7\times 21+5}{21}+\frac{19}{24}$$

17 olish uchun 14 va 3'ni qo'shing.

$$\frac{17}{14}+\frac{7\times 21+5}{21}+\frac{19}{24}$$

147 hosil qilish uchun 7 va 21 ni ko'paytirish.

$$\frac{17}{14}+\frac{147+5}{21}+\frac{19}{24}$$

152 olish uchun 147 va 5'ni qo'shing.

$$\frac{17}{14}+\frac{152}{21}+\frac{19}{24}$$

14 va 21 ning eng kichik umumiy karralisi 42 ga teng. \frac{17}{14} va \frac{152}{21} ni 42 maxraj bilan kasrlarga aylantirib oling.

$$\frac{51}{42}+\frac{304}{42}+\frac{19}{24}$$

\frac{51}{42} va \frac{304}{42} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{51+304}{42}+\frac{19}{24}$$

355 olish uchun 51 va 304'ni qo'shing.

$$\frac{355}{42}+\frac{19}{24}$$

42 va 24 ning eng kichik umumiy karralisi 168 ga teng. \frac{355}{42} va \frac{19}{24} ni 168 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1420}{168}+\frac{133}{168}$$

\frac{1420}{168} va \frac{133}{168} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1420+133}{168}$$

1553 olish uchun 1420 va 133'ni qo'shing.

$$\frac{1553}{168}$$

Omil

$$\frac{1553}{2 ^ {3} \cdot 3 \cdot 7} = 9\frac{41}{168} = 9,244047619047619$$