# Simplify: 1÷[1+1-{+1÷(1+1÷3)}]

- 5/12
- 3/5
- 3/8
- None of these

**Answer: (4) None of these **

**Solution:-**

1/[1 + 1 – {+ 1/(1 + 1/3)}]

= 1/[1 +1 – {+ 1/(4/3)}}

= 1/[1 +1 – {+ 3/4}]

= 1/[1 + 1 – 3/4]

= 1/[(4 + 4 – 3)/4]

= 1/[5/4]

= 4/5

Then, the value of 1/[1 + 1 – {+ 1/(1 + 1/3)}] is 4/5.

Hence, the correct answer is option (4) None of these.