In this article we consider the Erdos-Straus conjecture in a more general setting. For instance, one can look at the diophantine equation 4/n = 1/a + 1/b + 1/cwhere n and a; b; c are Gaussian integers. The problem becomes as difficult as the original Erdos-Straus conjecture if we require that the solutions be in the first or third quadrant for every given n in the first quadrant different of 0, 1, i, or 1 + i. However, without any other restrictions on a, b and c, we show that solutions exist except for a finite set. We considered also the caseof rings of integers of the norm-Euclidean quadratic fields.