A/b = 6/7 => 7a = 27b => a = 27b/7
(a+3b) / a - ?
7a = 27b | -6a
a = 27b - 6a | +3b
a+3b = 30b - 6a |:a
(a+3b)/a = (30b-6a) / a
(a+3b)/a = (30b - 6*27b/7) : 27b/7
(a+3b)/a = (30b-23_1/7 b) * 7/(27b)
(a+3b)/a = 6_6/7 b * 7/(27b)
(a+3b)/a = 48b/7 * 7/(27b)
(a+3b)/a = 48/27
(a+3b)/a = 16/9