Question

Efectuar : "a+b" si : a/11 + b/3 = 0,96 periódico puro

Answer 1

A/11 + b/3 = 96/99
(a×3+11×b)/11×3 = 32/33
(3a+11b)/33 = 32/33
3a + 11b = 32
Si: b = 2
3a + 11(2) = 32
3a + 22 = 32
3a = 32 - 22
3a = 10
a = 10/3

Por lo tanto:
10/3 + 2 = 16/3
Respuesta = 16/3