5/5+frac{5{5+5}} eching

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

Baholash

$$\frac{10}{11}\approx 0,909090909$$

Yechim qadamlari

10 olish uchun 5 va 5'ni qo'shing.

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

\frac{5}{10} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{5}{5+\frac{1}{2}}$$

5 ni \frac{10}{2} kasrga o‘giring.

$$\frac{5}{\frac{10}{2}+\frac{1}{2}}$$

\frac{10}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{\frac{10+1}{2}}$$

11 olish uchun 10 va 1'ni qo'shing.

$$\frac{5}{\frac{11}{2}}$$

5 ni \frac{11}{2} ga bo'lish 5 ga k'paytirish \frac{11}{2} ga qaytarish.

$$5\times \frac{2}{11}$$

5\times \frac{2}{11} ni yagona kasrga aylantiring.

$$\frac{5\times 2}{11}$$

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

$$\frac{10}{11}$$

Omil

$$\frac{2 \cdot 5}{11} = 0,9090909090909091$$