1/1-1{1+1/3-1{frac{1/6+frac{1/3}}}} eching

$$\frac { 1 } { 1 - \frac { 1 } { 1 + \frac { 1 } { 3 - \frac { 1 } { \frac { 1 } { 6 } + \frac { 1 } { 3 } } } } }$$

Baholash

$$2$$

Yechim qadamlari

6 va 3 ning eng kichik umumiy karralisi 6 ga teng. \frac{1}{6} va \frac{1}{3} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{1}{6}+\frac{2}{6}}}}}$$

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

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{1+2}{6}}}}}$$

3 olish uchun 1 va 2'ni qo'shing.

$$\frac{1}{1-\frac{1}{1+\frac{1}{3-\frac{1}{\frac{3}{6}}}}}$$

\frac{3}{6} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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

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

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

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

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

1 olish uchun 3 dan 2 ni ayirish.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

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

2 olish uchun 1 va 1'ni qo'shing.

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

1 ni \frac{2}{2} kasrga o‘giring.

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

\frac{2}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

1 olish uchun 2 dan 1 ni ayirish.

$$\frac{1}{\frac{1}{2}}$$

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

$$1\times 2$$

2 hosil qilish uchun 1 va 2 ni ko'paytirish.

$$2$$

Omil

$$2$$