Question

What is 0.16, 16 repeating as a simplified fraction?

Answer 1

16/99

Explanation:

Since the repeating pattern has 2 digits, use 10^2 which is 100.

Let x = 0.161616...

Then 100x = 16.161616...

100x = 16.161616...

- x = 0.161616...

----------------------------

99x = 16

x = 16/99

Answer: 0.161616... = 16/99

Answer 2

Explanation:

x = 0.1616.....

100x = 16.1616.......

100x - x = (16.16....) - (0.1616.....)

99x = 16

x = 16/99