Simplification

Level pending

Find the value of

1÷[1+1÷{1+1÷(1+1÷2)}]

8/5 5/8 3/5 1

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1 solution

Gagan Singh
Feb 3, 2014

solution:
=1÷[1+1÷{1+1÷(1+1÷2)}] =1÷[1+1÷{1+1÷(1+1/2)}] =1÷[1+1÷{1+1÷3/2}] =1÷[1+1÷{1+2/3}] =1÷[1+1÷5/3] =1÷[1+3/5] =1÷8/5 =5/8

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