A player's average score across several rounds is 12.25252525... where '25' repeats. What is this recurring decimal as a simplified fraction?
Show answer & explanation
Correct answer: B
Explanation
Given:
x = 12.25252525...
To convert a recurring decimal to a fraction:
100x − x
x = 12.252525...
100x = 1225.252525...
100x − x = 1225.252525... − 12.252525...
99x = 1213
x = 1213/99