Three Fractions

a/bc + d/ef + g/hi = 1


Each of three fractions has a one-digit numerator and a two-digit denominator. The three fractions together add up to one. Place the nine digits 1-9 into the fractions to make the equation correct.

Source: Nob Yoshigahara, c/o Scot Morris in OMNI, April 1994. Used as Ken's POTD 4/14/94.


Solution
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