Question

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

Answer 1

$\mathrm{0.16161616..............}=\frac{16}{99}$

Explanation:

Let $x=\mathrm{0.16161616.............}$(A)

ten $100x=\mathrm{16.16161616.............}$(B)

Subtracting (A) from (B), we get

$99x=16$ and hence

$x=\frac{16}{99}$