Question 91279
First, convert 1.3636... to its fractional equivalent.
n = 1.3636... Multiply by 100.
100n = 136.3636... Subtract n from both sides.
100n-n = 136.3636 - 1.3636
99n = 135 Divide both sides by 99
n = 135/99 Reduce the fraction.
n = 15/11 Substitute n = 1.3636...
1.3636... = 15/11 this is the p/q where p = 15 and q = 11.  Add p+q
p+q = 15+11 = 26
Answer is 26.