Sure.
2.25 = 2 + 1/4 = [2; 4] = 2 + 1/(3 + 1/1) = [2; 3, 1]
−4.2 = −5 + 4/5 = −5 + 1/(1 + 1/4) = [−5; 1, 4] = −5 + 1/(1 + 1/(3 + 1/1)) = [−5; 1, 3, 1]

How about theses expressions? Can I use something like that instead?