2n/(d + 16) = n/d - 1/3 n/d 2n/(d + 16) = 2/3 n/d Divide by 2n 1 / (d + 16) = 1/3 d Here's the tricky part. d + 16 = 3d the two denominators are equal. the numerators are both 1. 16 = 2d d = 8 so the numerator is d - 5 n = 8 - 5 n = 3
Let's see if it checks out. n = 3 d = 8
2*3 = 6 8 + 16 = 24 New fraction 6/24 = 1/4 (3/8 - 1/3 ) = 1/8 3/8 - 1/8 = 1/4 so it checks with the original conditions put on it.