3+2/3+1{1+frac{1/4}} eching

$$3 + \frac { 2 } { 3 + \frac { 1 } { 1 + \frac { 1 } { 4 } } }$$

Baholash

$$\frac{67}{19}\approx 3,526315789$$

Yechim qadamlari

1 ni \frac{4}{4} kasrga o‘giring.

$$3+\frac{2}{3+\frac{1}{\frac{4}{4}+\frac{1}{4}}}$$

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

$$3+\frac{2}{3+\frac{1}{\frac{4+1}{4}}}$$

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

$$3+\frac{2}{3+\frac{1}{\frac{5}{4}}}$$

1 ni \frac{5}{4} ga bo'lish 1 ga k'paytirish \frac{5}{4} ga qaytarish.

$$3+\frac{2}{3+1\times \frac{4}{5}}$$

\frac{4}{5} hosil qilish uchun 1 va \frac{4}{5} ni ko'paytirish.

$$3+\frac{2}{3+\frac{4}{5}}$$

3 ni \frac{15}{5} kasrga o‘giring.

$$3+\frac{2}{\frac{15}{5}+\frac{4}{5}}$$

\frac{15}{5} va \frac{4}{5} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$3+\frac{2}{\frac{15+4}{5}}$$

19 olish uchun 15 va 4'ni qo'shing.

$$3+\frac{2}{\frac{19}{5}}$$

2 ni \frac{19}{5} ga bo'lish 2 ga k'paytirish \frac{19}{5} ga qaytarish.

$$3+2\times \frac{5}{19}$$

2\times \frac{5}{19} ni yagona kasrga aylantiring.

$$3+\frac{2\times 5}{19}$$

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$3+\frac{10}{19}$$

3 ni \frac{57}{19} kasrga o‘giring.

$$\frac{57}{19}+\frac{10}{19}$$

\frac{57}{19} va \frac{10}{19} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{57+10}{19}$$

67 olish uchun 57 va 10'ni qo'shing.

$$\frac{67}{19}$$

Omil

$$\frac{67}{19} = 3\frac{10}{19} = 3,526315789473684$$