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.

9/12 + 5/34 + 7/68 = 1

For a while, every set I tried added up to less than one. This eventually motivated me to start with the largest fraction I could, 9/12. The rest followed soon thereafter.

Posted by Jim Lyon on 2002-07-23 09:11:31