Question

How do you convert 0.16 (16 repeating) to a fraction?

Answer 1

#0.16161616................=16/99#

Explanation:

Let `x=0.16161616................` ....................(A)

ten `100x=16.16161616................` ....................(B)

Subtracting (A) from (B), we get

`99x=16` and hence

`x=16/99`