1+1/1-1{1+frac{1/1-frac{1{3}}}} eching

$$1 + \frac { 1 } { 1 - \frac { 1 } { 1 + \frac { 1 } { 1 - \frac { 1 } { 3 } } } }$$

Baholash

$$\frac{8}{3}\approx 2,666666667$$

Yechim qadamlari

1 ni \frac{3}{3} kasrga o‘giring.

$$1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{3}{3}-\frac{1}{3}}}}$$

\frac{3}{3} va \frac{1}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{3-1}{3}}}}$$

2 olish uchun 3 dan 1 ni ayirish.

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

1 ni \frac{2}{3} ga bo'lish 1 ga k'paytirish \frac{2}{3} ga qaytarish.

$$1+\frac{1}{1-\frac{1}{1+1\times \frac{3}{2}}}$$

\frac{3}{2} hosil qilish uchun 1 va \frac{3}{2} ni ko'paytirish.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

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

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

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

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

1 ni \frac{5}{2} ga bo'lish 1 ga k'paytirish \frac{5}{2} ga qaytarish.

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

\frac{2}{5} hosil qilish uchun 1 va \frac{2}{5} ni ko'paytirish.

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

1 ni \frac{5}{5} kasrga o‘giring.

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

\frac{5}{5} va \frac{2}{5} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

3 olish uchun 5 dan 2 ni ayirish.

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

1 ni \frac{3}{5} ga bo'lish 1 ga k'paytirish \frac{3}{5} ga qaytarish.

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

\frac{5}{3} hosil qilish uchun 1 va \frac{5}{3} ni ko'paytirish.

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

1 ni \frac{3}{3} kasrga o‘giring.

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

\frac{3}{3} va \frac{5}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

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

$$\frac{8}{3}$$

Omil

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2,6666666666666665$$