Convert the recurring decimal 0.272727... into a simple fraction in its lowest terms.
Show answer & explanation
Correct answer: B
Explanation
Given:
0.272727… (recurring decimal)
Let x = 0.272727…
x = 0.272727…
100x = 27.272727…
100x − x = 27.272727… − 0.272727…
99x = 27
x = 27/99
x = 3/11