1/2+3/4+5/6+7/6+frac{9}{10}+frac{11}{12} eching

$$\frac{ 1 }{ 2 } + \frac{ 3 }{ 4 } + \frac{ 5 }{ 6 } + \frac{ 7 }{ 6 } + \frac{ 9 }{ 10 } + \frac{ 11 }{ 12 }$$

Baholash

$$\frac{76}{15}\approx 5,066666667$$

Yechim qadamlari

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

$$\frac{2}{4}+\frac{3}{4}+\frac{5}{6}+\frac{7}{6}+\frac{9}{10}+\frac{11}{12}$$

\frac{2}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2+3}{4}+\frac{5}{6}+\frac{7}{6}+\frac{9}{10}+\frac{11}{12}$$

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

$$\frac{5}{4}+\frac{5}{6}+\frac{7}{6}+\frac{9}{10}+\frac{11}{12}$$

4 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{5}{4} va \frac{5}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{15}{12}+\frac{10}{12}+\frac{7}{6}+\frac{9}{10}+\frac{11}{12}$$

\frac{15}{12} va \frac{10}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{15+10}{12}+\frac{7}{6}+\frac{9}{10}+\frac{11}{12}$$

25 olish uchun 15 va 10'ni qo'shing.

$$\frac{25}{12}+\frac{7}{6}+\frac{9}{10}+\frac{11}{12}$$

12 va 6 ning eng kichik umumiy karralisi 12 ga teng. \frac{25}{12} va \frac{7}{6} ni 12 maxraj bilan kasrlarga aylantirib oling.

$$\frac{25}{12}+\frac{14}{12}+\frac{9}{10}+\frac{11}{12}$$

\frac{25}{12} va \frac{14}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{25+14}{12}+\frac{9}{10}+\frac{11}{12}$$

39 olish uchun 25 va 14'ni qo'shing.

$$\frac{39}{12}+\frac{9}{10}+\frac{11}{12}$$

\frac{39}{12} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{13}{4}+\frac{9}{10}+\frac{11}{12}$$

4 va 10 ning eng kichik umumiy karralisi 20 ga teng. \frac{13}{4} va \frac{9}{10} ni 20 maxraj bilan kasrlarga aylantirib oling.

$$\frac{65}{20}+\frac{18}{20}+\frac{11}{12}$$

\frac{65}{20} va \frac{18}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{65+18}{20}+\frac{11}{12}$$

83 olish uchun 65 va 18'ni qo'shing.

$$\frac{83}{20}+\frac{11}{12}$$

20 va 12 ning eng kichik umumiy karralisi 60 ga teng. \frac{83}{20} va \frac{11}{12} ni 60 maxraj bilan kasrlarga aylantirib oling.

$$\frac{249}{60}+\frac{55}{60}$$

\frac{249}{60} va \frac{55}{60} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{249+55}{60}$$

304 olish uchun 249 va 55'ni qo'shing.

$$\frac{304}{60}$$

\frac{304}{60} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{76}{15}$$

Omil

$$\frac{2 ^ {2} \cdot 19}{3 \cdot 5} = 5\frac{1}{15} = 5,066666666666666$$