Explanation:
To divide fractions ....flip the second one and MULTIPY.....
Factor the denominator in the first one and the now numerator in the second one :
(x-1)/ ((x-1)(x-3) ) * (x+3)(x-3) / 5x-2) <====note all of the factors that 'cancel out'
to leave
1 * (x+3) / 5x-2 = (x+3) / 5x-2