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

Explanation:

Short answer: How many digits are repeated? 2, exactly (1 and 5). So 2 digits, you have 99. If you have one digit repeated (like 0.3333...) then its 9.

So, because of its 99. The answer is 15/99. Try to get what I mean.

Long answer:

0.151515151515....

x = 0.151515151515...

100x = 15.1515151515..... (to get this equation you multiply the above by 100)

Based on the red above, use elimination.

99x = 15 (solve for x)

x = 15/99