Show that 0.2636363... can be expressed in the form p/q, where p and q are integers and q ≠ 0; what is the value of p/q?
Show answer & explanation
Correct answer: C
Explanation
Let x = 0.2636363...
Here, only '63' repeats.
100x = 26.363636...
10000x = 2636.363636...
Subtract the two equations:
10000x − 100x = 2636.363636... − 26.363636...
9900x = 2610
x = 2610/9900
= 261/990
= 29/110