Convert the recurring decimal 0.363636... into a fraction in simplest form. Then, find the difference between this fraction and 1/3.
Show answer & explanation
Correct answer: B
Explanation
Given:
Recurring decimal = 0.363636...
Second fraction = 1/3
By formula:
Let x = 0.363636...
x = 0.363636...
100x = 36.363636...
100x − x
= 36.363636... − 0.363636...
99x = 36
x = 36/99
x = 4/11
Now difference = 4/11 − 1/3 = 1/33