2+1/2+1{1+frac{1/1}}=61/24 eching

$$2 + \frac { 1 } { 2 + \frac { 1 } { 1 + \frac { 1 } { 1 } } } = \frac { 61 } { 24 }$$

Tasdiqlamoq

Yechim qadamlari

1 ni olish uchun 1 ni 1 ga bo‘ling.

$$2+\frac{1}{2+\frac{1}{1+1}}=\frac{61}{24}$$

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

$$2+\frac{1}{2+\frac{1}{2}}=\frac{61}{24}$$

2 ni \frac{4}{2} kasrga o‘giring.

$$2+\frac{1}{\frac{4}{2}+\frac{1}{2}}=\frac{61}{24}$$

\frac{4}{2} va \frac{1}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2+\frac{1}{\frac{4+1}{2}}=\frac{61}{24}$$

5 olish uchun 4 va 1'ni qo'shing.

$$2+\frac{1}{\frac{5}{2}}=\frac{61}{24}$$

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

$$2+1\times \frac{2}{5}=\frac{61}{24}$$

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

$$2+\frac{2}{5}=\frac{61}{24}$$

2 ni \frac{10}{5} kasrga o‘giring.

$$\frac{10}{5}+\frac{2}{5}=\frac{61}{24}$$

\frac{10}{5} va \frac{2}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{10+2}{5}=\frac{61}{24}$$

12 olish uchun 10 va 2'ni qo'shing.

$$\frac{12}{5}=\frac{61}{24}$$

5 va 24 ning eng kichik umumiy karralisi 120 ga teng. \frac{12}{5} va \frac{61}{24} ni 120 maxraj bilan kasrlarga aylantirib oling.

$$\frac{288}{120}=\frac{305}{120}$$

\frac{288}{120} va \frac{305}{120} ni taqqoslang.

$$\text{false}$$