Using this as our common denominator, we find that we must multiply the numerator and denominator of the first fraction by (2t - 3), and multiply the numerator and denominator of the second fraction by (t - 6). t/t2 + 2t - 48 - 2t - 3/2t2 + 13t - 24 = t/(t - 6)(t + 8) - 2t- 3/(2t - 3)(t + 8) = t/(t - 6)(t + 8)(2t - 3/2t - 3)-2t - 3/(2t - 3)(t + 8) (t - 6/t - 6) = t(t-3)-(t-3)(t - 6)/(t - 6)(t + 8)(2f - 3)