Let the fraction can be determined as a/b (a + (1/6)a) / (b - (1/7)b) = b/a (7a/6) / (6b/7) = (7a x 7) / (6b x 6) = b/a (49a)/(36b) = b/a a2/b2 = 36/49 a/b = 6/7
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