Which of the following lies between $$1 \frac35$$​ & $$2 \frac15$$​ ?

Correct option is A

Given:

fraction are $$1 \frac35$$​​ & $$2 \frac15$$​​ 
Solution:
Convert the first mixed fraction to an improper fraction and then to a decimal:
​$$1 \frac{3}{5} = \frac{8}{5} = 1.6$$​​
Convert the second mixed fraction to a decimal:
​$$2 \frac{1}{5} = \frac{11}{5} = 2.2$$​​
Evaluate Option A by converting to a decimal:
​$$\frac{18}{11} = 1.636$$​​
Evaluate Option B:
​$$\frac{14}{9} = 1.555$$​​
Evaluate Option C:
​$$\frac{9}{4} = 2.25$$​​
Evaluate Option D:
$$\frac{14}{6}$$​ = 2.333
Compare the results. The value 1.636 is the only one that falls between 1.6 and 2.2.
Final Answer
So the correct answer is (a)