
the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.
4.5 • 10-5 = 40
2.4 • 10-2 = 22
(5x-3)/4 = x/3 +1
5x-3 = 4x/3 +4
5x - 4x/3 = 7
(11/3)x = 7
x = 7/(11/3) = 21/11
Use the fomula a_(n)= a_(1)+ d(n-1)