(1/4+2/3+7/8+4/7)= eching

$$( \frac { 1 } { 4 } + \frac { 2 } { 3 } + \frac { 7 } { 8 } + \frac { 4 } { 7 } ) =$$

Baholash

$$\frac{397}{168}\approx 2,363095238$$

Yechim qadamlari

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{1}{4} va \frac{2}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{12}+\frac{8}{12}+\frac{7}{8}+\frac{4}{7}$$

\frac{3}{12} va \frac{8}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+8}{12}+\frac{7}{8}+\frac{4}{7}$$

11 olish uchun 3 va 8'ni qo'shing.

$$\frac{11}{12}+\frac{7}{8}+\frac{4}{7}$$

12 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{11}{12} va \frac{7}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{22}{24}+\frac{21}{24}+\frac{4}{7}$$

\frac{22}{24} va \frac{21}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{22+21}{24}+\frac{4}{7}$$

43 olish uchun 22 va 21'ni qo'shing.

$$\frac{43}{24}+\frac{4}{7}$$

24 va 7 ning eng kichik umumiy karralisi 168 ga teng. \frac{43}{24} va \frac{4}{7} ni 168 maxraj bilan kasrlarga aylantirib oling.

$$\frac{301}{168}+\frac{96}{168}$$

\frac{301}{168} va \frac{96}{168} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{301+96}{168}$$

397 olish uchun 301 va 96'ni qo'shing.

$$\frac{397}{168}$$

Omil

$$\frac{397}{2 ^ {3} \cdot 3 \cdot 7} = 2\frac{61}{168} = 2,363095238095238$$