Question

1÷[1+1÷ {1+1÷(1+1÷2)}]-এর মান হল?​

Answer 1

1÷[1+1÷ {1+1÷(1+1÷2)}]

Solution-

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

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

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

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

$1+\frac{1}{1+1\times \left(\frac{2}{3}\right)}$

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

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

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

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

$1+1\times \left(\frac{3}{5}\right)$

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

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

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

$\frac{8}{5}$