What is 2.16 repeat rewrite as a fraction

2.16 repeat as a fraction is:

x = 2.16666666

10x = 21.6666666

100x = 216.666666

100x - 10x = 216.666666 (repeat) - 21.6666666 (repeat) = 195

90x = 195

x = 195 / 90

x = (195/3) / (90/3)

x = 65 / 30

x = (65/5) / (30/5)

x = 13 / 6

x = 13/6