Answer:
14/99
Explanation:
Let x = 0.141414...
Because the repeating pattern has 2 digits, multiply both sides by 100.
100x = 14.141414...
Now subtract the equation x = 0.141414... from the equation 100x = 14.141414...
100x = 14.141414...
- x = 0.141414...
------------------------------
99x = 14
Divide both sides by 99.
x = 14/99
Answer: 14/99