11/4+11/2+11/3+21/8 eching

$$1 \frac { 1 } { 4 } + 1 \frac { 1 } { 2 } + 1 \frac { 1 } { 3 } + 2 \frac { 1 } { 8 }$$

Baholash

$$\frac{149}{24}\approx 6,208333333$$

Yechim qadamlari

4 hosil qilish uchun 1 va 4 ni ko'paytirish.

$$\frac{4+1}{4}+\frac{1\times 2+1}{2}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

5 olish uchun 4 va 1'ni qo'shing.

$$\frac{5}{4}+\frac{1\times 2+1}{2}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$\frac{5}{4}+\frac{2+1}{2}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

3 olish uchun 2 va 1'ni qo'shing.

$$\frac{5}{4}+\frac{3}{2}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

4 va 2 ning eng kichik umumiy karralisi 4 ga teng. \frac{5}{4} va \frac{3}{2} ni 4 maxraj bilan kasrlarga aylantirib oling.

$$\frac{5}{4}+\frac{6}{4}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

\frac{5}{4} va \frac{6}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5+6}{4}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

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

$$\frac{11}{4}+\frac{1\times 3+1}{3}+\frac{2\times 8+1}{8}$$

3 hosil qilish uchun 1 va 3 ni ko'paytirish.

$$\frac{11}{4}+\frac{3+1}{3}+\frac{2\times 8+1}{8}$$

4 olish uchun 3 va 1'ni qo'shing.

$$\frac{11}{4}+\frac{4}{3}+\frac{2\times 8+1}{8}$$

4 va 3 ning eng kichik umumiy karralisi 12 ga teng. \frac{11}{4} va \frac{4}{3} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{33}{12}+\frac{16}{12}+\frac{2\times 8+1}{8}$$

\frac{33}{12} va \frac{16}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{33+16}{12}+\frac{2\times 8+1}{8}$$

49 olish uchun 33 va 16'ni qo'shing.

$$\frac{49}{12}+\frac{2\times 8+1}{8}$$

16 hosil qilish uchun 2 va 8 ni ko'paytirish.

$$\frac{49}{12}+\frac{16+1}{8}$$

17 olish uchun 16 va 1'ni qo'shing.

$$\frac{49}{12}+\frac{17}{8}$$

12 va 8 ning eng kichik umumiy karralisi 24 ga teng. \frac{49}{12} va \frac{17}{8} ni 24 maxraj bilan kasrlarga aylantirib oling.

$$\frac{98}{24}+\frac{51}{24}$$

\frac{98}{24} va \frac{51}{24} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{98+51}{24}$$

149 olish uchun 98 va 51'ni qo'shing.

$$\frac{149}{24}$$

Omil

$$\frac{149}{2 ^ {3} \cdot 3} = 6\frac{5}{24} = 6,208333333333333$$