4/4+4{4+frac{4/4+4}} eching

$$\frac { 4 } { 4 + \frac { 4 } { 4 + \frac { 4 } { 4 + 4 } } }$$

Baholash

$$\frac{9}{11}\approx 0,818181818$$

Yechim qadamlari

8 olish uchun 4 va 4'ni qo'shing.

$$\frac{4}{4+\frac{4}{4+\frac{4}{8}}}$$

\frac{4}{8} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

4 ni \frac{8}{2} kasrga o‘giring.

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

\frac{8}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

9 olish uchun 8 va 1'ni qo'shing.

$$\frac{4}{4+\frac{4}{\frac{9}{2}}}$$

4 ni \frac{9}{2} ga bo'lish 4 ga k'paytirish \frac{9}{2} ga qaytarish.

$$\frac{4}{4+4\times \frac{2}{9}}$$

4\times \frac{2}{9} ni yagona kasrga aylantiring.

$$\frac{4}{4+\frac{4\times 2}{9}}$$

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

$$\frac{4}{4+\frac{8}{9}}$$

4 ni \frac{36}{9} kasrga o‘giring.

$$\frac{4}{\frac{36}{9}+\frac{8}{9}}$$

\frac{36}{9} va \frac{8}{9} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{4}{\frac{36+8}{9}}$$

44 olish uchun 36 va 8'ni qo'shing.

$$\frac{4}{\frac{44}{9}}$$

4 ni \frac{44}{9} ga bo'lish 4 ga k'paytirish \frac{44}{9} ga qaytarish.

$$4\times \frac{9}{44}$$

4\times \frac{9}{44} ni yagona kasrga aylantiring.

$$\frac{4\times 9}{44}$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$\frac{36}{44}$$

\frac{36}{44} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{9}{11}$$

Omil

$$\frac{3 ^ {2}}{11} = 0,8181818181818182$$