53
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2 + 1 + 5 + 52 + 4 + 6 = 70
52 plus 1.
95 plus 52 plus 95 plus 52 equals 294.
To be rational, the numerator has to be a factor of 52 (the last term), and the denominator has to be a factor of 3 (the coefficient of the first term). Try all the combinations, including negative numbers (52/1, -52/1, 52/3, -52/3, 26/1, 26/3, etc.), to see whether one of them is a zero.
52. (and 52 weeks + 2 days in a leap year).