2+1/2+1{2+frac{1/1+frac{1{11}}}}=67/24 eching

$$2 + \frac { 1 } { 2 + \frac { 1 } { 2 + \frac { 1 } { 1 + \frac { 1 } { 11 } } } } = \frac { 67 } { 24 }$$

Tasdiqlamoq

Yechim qadamlari

1 ni \frac{11}{11} kasrga o‘giring.

$$2+\frac{1}{2+\frac{1}{2+\frac{1}{\frac{11}{11}+\frac{1}{11}}}}=\frac{67}{24}$$

\frac{11}{11} va \frac{1}{11} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2+\frac{1}{2+\frac{1}{2+\frac{1}{\frac{11+1}{11}}}}=\frac{67}{24}$$

12 olish uchun 11 va 1'ni qo'shing.

$$2+\frac{1}{2+\frac{1}{2+\frac{1}{\frac{12}{11}}}}=\frac{67}{24}$$

1 ni \frac{12}{11} ga bo'lish 1 ga k'paytirish \frac{12}{11} ga qaytarish.

$$2+\frac{1}{2+\frac{1}{2+1\times \frac{11}{12}}}=\frac{67}{24}$$

\frac{11}{12} hosil qilish uchun 1 va \frac{11}{12} ni ko'paytirish.

$$2+\frac{1}{2+\frac{1}{2+\frac{11}{12}}}=\frac{67}{24}$$

2 ni \frac{24}{12} kasrga o‘giring.

$$2+\frac{1}{2+\frac{1}{\frac{24}{12}+\frac{11}{12}}}=\frac{67}{24}$$

\frac{24}{12} va \frac{11}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2+\frac{1}{2+\frac{1}{\frac{24+11}{12}}}=\frac{67}{24}$$

35 olish uchun 24 va 11'ni qo'shing.

$$2+\frac{1}{2+\frac{1}{\frac{35}{12}}}=\frac{67}{24}$$

1 ni \frac{35}{12} ga bo'lish 1 ga k'paytirish \frac{35}{12} ga qaytarish.

$$2+\frac{1}{2+1\times \frac{12}{35}}=\frac{67}{24}$$

\frac{12}{35} hosil qilish uchun 1 va \frac{12}{35} ni ko'paytirish.

$$2+\frac{1}{2+\frac{12}{35}}=\frac{67}{24}$$

2 ni \frac{70}{35} kasrga o‘giring.

$$2+\frac{1}{\frac{70}{35}+\frac{12}{35}}=\frac{67}{24}$$

\frac{70}{35} va \frac{12}{35} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2+\frac{1}{\frac{70+12}{35}}=\frac{67}{24}$$

82 olish uchun 70 va 12'ni qo'shing.

$$2+\frac{1}{\frac{82}{35}}=\frac{67}{24}$$

1 ni \frac{82}{35} ga bo'lish 1 ga k'paytirish \frac{82}{35} ga qaytarish.

$$2+1\times \frac{35}{82}=\frac{67}{24}$$

\frac{35}{82} hosil qilish uchun 1 va \frac{35}{82} ni ko'paytirish.

$$2+\frac{35}{82}=\frac{67}{24}$$

2 ni \frac{164}{82} kasrga o‘giring.

$$\frac{164}{82}+\frac{35}{82}=\frac{67}{24}$$

\frac{164}{82} va \frac{35}{82} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{164+35}{82}=\frac{67}{24}$$

199 olish uchun 164 va 35'ni qo'shing.

$$\frac{199}{82}=\frac{67}{24}$$

82 va 24 ning eng kichik umumiy karralisi 984 ga teng. \frac{199}{82} va \frac{67}{24} ni 984 maxraj bilan kasrlarga aylantirib oling.

$$\frac{2388}{984}=\frac{2747}{984}$$

\frac{2388}{984} va \frac{2747}{984} ni taqqoslang.

$$\text{false}$$