5/5+5{3+frac{5/5+5}} eching

$$\frac { 5 } { 5 + \frac { 5 } { 3 + \frac { 5 } { 5 + 5 } } }$$

Baholash

$$\frac{7}{9}\approx 0,777777778$$

Yechim qadamlari

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

$$\frac{5}{5+\frac{5}{3+\frac{5}{10}}}$$

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

$$\frac{5}{5+\frac{5}{3+\frac{1}{2}}}$$

3 ni \frac{6}{2} kasrga o‘giring.

$$\frac{5}{5+\frac{5}{\frac{6}{2}+\frac{1}{2}}}$$

\frac{6}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{5+\frac{5}{\frac{6+1}{2}}}$$

7 olish uchun 6 va 1'ni qo'shing.

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

5 ni \frac{7}{2} ga bo'lish 5 ga k'paytirish \frac{7}{2} ga qaytarish.

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

5\times \frac{2}{7} ni yagona kasrga aylantiring.

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

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

$$\frac{5}{5+\frac{10}{7}}$$

5 ni \frac{35}{7} kasrga o‘giring.

$$\frac{5}{\frac{35}{7}+\frac{10}{7}}$$

\frac{35}{7} va \frac{10}{7} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{5}{\frac{35+10}{7}}$$

45 olish uchun 35 va 10'ni qo'shing.

$$\frac{5}{\frac{45}{7}}$$

5 ni \frac{45}{7} ga bo'lish 5 ga k'paytirish \frac{45}{7} ga qaytarish.

$$5\times \frac{7}{45}$$

5\times \frac{7}{45} ni yagona kasrga aylantiring.

$$\frac{5\times 7}{45}$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\frac{35}{45}$$

\frac{35}{45} ulushini 5 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{9}$$

Omil

$$\frac{7}{3 ^ {2}} = 0,7777777777777778$$