Given that 97 / 19 = w + (1 / [x + (1 / y)]), and....

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Given that 97 / 19 = w + (1 / [x + (1 / y)]), and w, x, and y are all positive, find the value of w + x + y.
 
Since 97/19 = 5 + 2/19, then there's a good chance that w = 5 :idea:
So:
5 + 9 + 2 = 16
 
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