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

Correct option is D

Given: 

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

Solution: 

$$= 3 + \frac{1}{1+ \frac{1}{\frac{9}{4}}}\\\ \\= 3 + \frac{1}{1+\frac{4}{9} }\\\ \\= 3 + \frac{1}{\frac{13}{9}} \\\ \\= 3 + \frac{9}{13}\\\ \\= \frac{48}{13}$$