2+2/2+2{2+frac{1/2}} eching

$$2 + \frac { 2 } { 2 + \frac { 2 } { 2 + \frac { 1 } { 2 } } }$$

Baholash

$$\frac{19}{7}\approx 2,714285714$$

Yechim qadamlari

2 ni \frac{4}{2} kasrga o‘giring.

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

\frac{4}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

$$2+\frac{2}{2+\frac{2}{\frac{5}{2}}}$$

2 ni \frac{5}{2} ga bo'lish 2 ga k'paytirish \frac{5}{2} ga qaytarish.

$$2+\frac{2}{2+2\times \frac{2}{5}}$$

2\times \frac{2}{5} ni yagona kasrga aylantiring.

$$2+\frac{2}{2+\frac{2\times 2}{5}}$$

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

$$2+\frac{2}{2+\frac{4}{5}}$$

2 ni \frac{10}{5} kasrga o‘giring.

$$2+\frac{2}{\frac{10}{5}+\frac{4}{5}}$$

\frac{10}{5} va \frac{4}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2+\frac{2}{\frac{10+4}{5}}$$

14 olish uchun 10 va 4'ni qo'shing.

$$2+\frac{2}{\frac{14}{5}}$$

2 ni \frac{14}{5} ga bo'lish 2 ga k'paytirish \frac{14}{5} ga qaytarish.

$$2+2\times \frac{5}{14}$$

2\times \frac{5}{14} ni yagona kasrga aylantiring.

$$2+\frac{2\times 5}{14}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$2+\frac{10}{14}$$

\frac{10}{14} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$2+\frac{5}{7}$$

2 ni \frac{14}{7} kasrga o‘giring.

$$\frac{14}{7}+\frac{5}{7}$$

\frac{14}{7} va \frac{5}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{14+5}{7}$$

19 olish uchun 14 va 5'ni qo'shing.

$$\frac{19}{7}$$

Omil

$$\frac{19}{7} = 2\frac{5}{7} = 2,7142857142857144$$