Fie numerele a si b
a + b = 32 intregi si 5 / 12 = ( 32 x 12 + 5 ) / 12 = 389 / 12
a = b + 9 intregi si 7 / 12 = b + ( 9 x 12 + 7 ) / 12 = b + 115 / 12
( b + 115 / 12 ) + b = 389 / 12
2 b = 389 / 12 - 115 / 12
2 b = 274 / 12
b = 137 / 6 : 2 = ( 137 / 6 ) × ( 1 / 2 )
b = 137 / 12
a = 137 / 12 + 115 / 12 = 252 / 12
a = 21
Verific: 21 + 137 / 12 = 21 + 11 intregi 5 / 12 = 32 intregi si 5 / 12
