1/2-1/48+1/3840-1/645120 eching

$$\frac{ 1 }{ 2 } - \frac{ 1 }{ 48 } + \frac{ 1 }{ 3840 } - \frac{ 1 }{ 645120 }$$

Baholash

$$\frac{309287}{645120}\approx 0,479425533$$

Yechim qadamlari

2 va 48 ning eng kichik umumiy karralisi 48 ga teng. \frac{1}{2} va \frac{1}{48} ni 48 maxraj bilan kasrlarga aylantirib oling.

$$\frac{24}{48}-\frac{1}{48}+\frac{1}{3840}-\frac{1}{645120}$$

\frac{24}{48} va \frac{1}{48} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{24-1}{48}+\frac{1}{3840}-\frac{1}{645120}$$

23 olish uchun 24 dan 1 ni ayirish.

$$\frac{23}{48}+\frac{1}{3840}-\frac{1}{645120}$$

48 va 3840 ning eng kichik umumiy karralisi 3840 ga teng. \frac{23}{48} va \frac{1}{3840} ni 3840 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1840}{3840}+\frac{1}{3840}-\frac{1}{645120}$$

\frac{1840}{3840} va \frac{1}{3840} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1840+1}{3840}-\frac{1}{645120}$$

1841 olish uchun 1840 va 1'ni qo'shing.

$$\frac{1841}{3840}-\frac{1}{645120}$$

3840 va 645120 ning eng kichik umumiy karralisi 645120 ga teng. \frac{1841}{3840} va \frac{1}{645120} ni 645120 maxraj bilan kasrlarga aylantirib oling.

$$\frac{309288}{645120}-\frac{1}{645120}$$

\frac{309288}{645120} va \frac{1}{645120} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{309288-1}{645120}$$

309287 olish uchun 309288 dan 1 ni ayirish.

$$\frac{309287}{645120}$$

Omil

$$\frac{11 \cdot 31 \cdot 907}{2 ^ {11} \cdot 3 ^ {2} \cdot 5 \cdot 7} = 0,479425533234127$$