Question

What is the fractional equivalent of the repeating decimal n = 0.1515...?

Answer the questions to find out.
1. How many repeating digits does the number represented by n have?
Write your answer in the space below.

Answer 1

The fractional equal is n =
`(1.3636...)/(9)`

Explanation:

I. When n = 0.1515...

10 * n = 0.1515 * 10

10n = 1.515...

So 10n - n = 1.515... + 0.151...

9n = 1.363...

n =
`(1.3636...)/(9)` or 0.1515...

Back to the question, How many repeating digits does is infinity.

You can prove it by use calculator.

Hope that help :)