1/1-1{1-frac{1/1-frac{1{2018}}}} eching

$$\frac{ 1 }{ 1- \frac{ 1 }{ 1- \frac{ 1 }{ 1- \frac{ 1 }{ 2018 } } } }$$

Baholash

$$\frac{1}{2018}\approx 0,00049554$$

Yechim qadamlari

1 ni \frac{2018}{2018} kasrga o‘giring.

$$\frac{1}{1-\frac{1}{1-\frac{1}{\frac{2018}{2018}-\frac{1}{2018}}}}$$

\frac{2018}{2018} va \frac{1}{2018} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{1-\frac{1}{1-\frac{1}{\frac{2018-1}{2018}}}}$$

2017 olish uchun 2018 dan 1 ni ayirish.

$$\frac{1}{1-\frac{1}{1-\frac{1}{\frac{2017}{2018}}}}$$

1 ni \frac{2017}{2018} ga bo'lish 1 ga k'paytirish \frac{2017}{2018} ga qaytarish.

$$\frac{1}{1-\frac{1}{1-1\times \frac{2018}{2017}}}$$

\frac{2018}{2017} hosil qilish uchun 1 va \frac{2018}{2017} ni ko'paytirish.

$$\frac{1}{1-\frac{1}{1-\frac{2018}{2017}}}$$

1 ni \frac{2017}{2017} kasrga o‘giring.

$$\frac{1}{1-\frac{1}{\frac{2017}{2017}-\frac{2018}{2017}}}$$

\frac{2017}{2017} va \frac{2018}{2017} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{1}{1-\frac{1}{\frac{2017-2018}{2017}}}$$

-1 olish uchun 2017 dan 2018 ni ayirish.

$$\frac{1}{1-\frac{1}{-\frac{1}{2017}}}$$

1 ni -\frac{1}{2017} ga bo'lish 1 ga k'paytirish -\frac{1}{2017} ga qaytarish.

$$\frac{1}{1-1\left(-2017\right)}$$

-2017 hosil qilish uchun 1 va -2017 ni ko'paytirish.

$$\frac{1}{1-\left(-2017\right)}$$

-2017 ning teskarisi 2017 ga teng.

$$\frac{1}{1+2017}$$

2018 olish uchun 1 va 2017'ni qo'shing.

$$\frac{1}{2018}$$

Omil

$$\frac{1}{2 \cdot 1009} = 0,0004955401387512388$$