We convert 2.3181818 to fraction as follows:
Let x = 2.3181818 . . . . . (1)
as can be seen, the repeating digits are 18
Multiply both sides of equation (1) by 1,000 to get
1,000x = 2318.1818 . . . . . (2)
Also, multiply both sides of equation (1) by 10 to get
10x = 23.181818 . . . . . (3)
Subtract equation (3) from equation (2) to get
990x = 2,295
Thus,
[tex]x= \frac{2,295}{990} =2 \frac{7}{22} [/tex]
