1/21+3/13-1/49+2/65= eching

$$\frac { 1 } { 21 } + \frac { 3 } { 13 } - \frac { 1 } { 49 } + \frac { 2 } { 65 } =$$

Baholash

$$\frac{2759}{9555}\approx 0,288749346$$

Yechim qadamlari

21 va 13 ning eng kichik umumiy karralisi 273 ga teng. \frac{1}{21} va \frac{3}{13} ni 273 maxraj bilan kasrlarga aylantirib oling.

$$\frac{13}{273}+\frac{63}{273}-\frac{1}{49}+\frac{2}{65}$$

\frac{13}{273} va \frac{63}{273} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{13+63}{273}-\frac{1}{49}+\frac{2}{65}$$

76 olish uchun 13 va 63'ni qo'shing.

$$\frac{76}{273}-\frac{1}{49}+\frac{2}{65}$$

273 va 49 ning eng kichik umumiy karralisi 1911 ga teng. \frac{76}{273} va \frac{1}{49} ni 1911 maxraj bilan kasrlarga aylantirib oling.

$$\frac{532}{1911}-\frac{39}{1911}+\frac{2}{65}$$

\frac{532}{1911} va \frac{39}{1911} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{532-39}{1911}+\frac{2}{65}$$

493 olish uchun 532 dan 39 ni ayirish.

$$\frac{493}{1911}+\frac{2}{65}$$

1911 va 65 ning eng kichik umumiy karralisi 9555 ga teng. \frac{493}{1911} va \frac{2}{65} ni 9555 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2465}{9555}+\frac{294}{9555}$$

\frac{2465}{9555} va \frac{294}{9555} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2465+294}{9555}$$

2759 olish uchun 2465 va 294'ni qo'shing.

$$\frac{2759}{9555}$$

Omil

$$\frac{31 \cdot 89}{3 \cdot 5 \cdot 7 ^ {2} \cdot 13} = 0,288749345892203$$