Express the 0.24361 (bar on 61) in the form of p\q and reduce it to the lowest term

This is how we build the fraction representing the periodic number:

Subtract the non-periodic digits from the whole number, without comma: . This is our numerator.Write a 9 for every periodic digit, and a 0 for every non periodic digits. we have 5 decimal digits, 3 non-periodic and 2 periodic. So, our denominator is 99000.

So, our fraction is

Which can be reduced by dividing both numerator and denominator by 2:

The mode of the numbers is 29.