2 a / 9 b = 0,2(7) = ( 27 - 2 ) / 90 = 25 / 90 = 5 / 18
⇒ a = ( 5 × 9 b ) / 2×18 = 45 b / 36 = 5 b / 4
r = ( 8 × 5 b / 4 + 5 b) : ( 9 × 5 b / 4 - 5 b )
r = ( 2 × 5 b + 5 b ) :( 45 b / 4- 20 b/ 4)
r = 15 b : ( 25 b / 4)
r = 15 b × 4 / 25 b → se simplifica prin 5 b
r = (3 × 4 ) / 5
r = 12 / 5
r = 2,4 → valoarea raportului