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

$$\frac{10}{3}\approx 3,333333333$$

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 qo‘shish orqali qo‘shing.

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

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

$$1+\frac{1}{1-\frac{1}{1+\frac{1}{\frac{4}{3}}}}$$

1 ni \frac{4}{3} ga bo'lish 1 ga k'paytirish \frac{4}{3} ga qaytarish.

$$1+\frac{1}{1-\frac{1}{1+1\times \frac{3}{4}}}$$

\frac{3}{4} hosil qilish uchun 1 va \frac{3}{4} ni ko'paytirish.

$$1+\frac{1}{1-\frac{1}{1+\frac{3}{4}}}$$

1 ni \frac{4}{4} kasrga o‘giring.

$$1+\frac{1}{1-\frac{1}{\frac{4}{4}+\frac{3}{4}}}$$

\frac{4}{4} va \frac{3}{4} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$1+\frac{1}{1-\frac{1}{\frac{4+3}{4}}}$$

7 olish uchun 4 va 3'ni qo'shing.

$$1+\frac{1}{1-\frac{1}{\frac{7}{4}}}$$

1 ni \frac{7}{4} ga bo'lish 1 ga k'paytirish \frac{7}{4} ga qaytarish.

$$1+\frac{1}{1-1\times \frac{4}{7}}$$

\frac{4}{7} hosil qilish uchun 1 va \frac{4}{7} ni ko'paytirish.

$$1+\frac{1}{1-\frac{4}{7}}$$

1 ni \frac{7}{7} kasrga o‘giring.

$$1+\frac{1}{\frac{7}{7}-\frac{4}{7}}$$

\frac{7}{7} va \frac{4}{7} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$1+\frac{1}{\frac{7-4}{7}}$$

3 olish uchun 7 dan 4 ni ayirish.

$$1+\frac{1}{\frac{3}{7}}$$

1 ni \frac{3}{7} ga bo'lish 1 ga k'paytirish \frac{3}{7} ga qaytarish.

$$1+1\times \frac{7}{3}$$

\frac{7}{3} hosil qilish uchun 1 va \frac{7}{3} ni ko'paytirish.

$$1+\frac{7}{3}$$

1 ni \frac{3}{3} kasrga o‘giring.

$$\frac{3}{3}+\frac{7}{3}$$

\frac{3}{3} va \frac{7}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+7}{3}$$

10 olish uchun 3 va 7'ni qo'shing.

$$\frac{10}{3}$$

Omil

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3,3333333333333335$$