What is the simplest form of the fraction represented by the recurring decimal 0.454545...?
Show answer & explanation
Correct answer: B
Explanation
Given:
Recurring decimal = 0.454545...
Let x = 0.454545...
x = 0.454545...
100x = 45.454545...
100x − x
= 45.454545... − 0.454545...
99x = 45
x = 45/99
= 5/11