Simplify: 1÷[1+1-{+1÷(1+1÷3)}]

  1. 5/12
  2. 3/5
  3. 3/8
  4. None of these
Anurag Mishra Professor Asked on 11th January 2016 in Maths.
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  • 1 Answer(s)

    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.

    Anurag Mishra Professor Answered on 12th January 2016.
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