SOLUTION: find the value of 1/{1+1/{1+1/(1+1/2)}}

Question 773528: find the value of 1/{1+1/{1+1/(1+1/2)}}
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
find the value of 1/{1+1/{1+1/(1+1/2)}}
Starting with the most inner bracket
(1 + 1/2) = 3/2
Next bracket
{1+1/(1+1/2)
This becomes
(1 + 1/(3/2)
(1 + 2/3)
= 5/3
Next bracket
{1+1/{1+1/(1+1/2)}}
Which becomes
{1 + 1/(5/3)}
{1 + 3/5}
= 8/5
Last bracket
1/{1+1/{1+1/(1+1/2)}}
Which becomes:
1/8/5
= 5/8
Hope this helps.
:-)
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