To add or subtract fractions, we first need to find a common denominator.

1) 5/13 + 4/13
(5 + 4) / 13 = 9 / 13

2) 9/13 + (5/13 + 49/60)
To find a common denominator for 9/13, 5/13, and 49/60, we need to find the least common multiple of 13 and 60, which is 780.

9/13 = 468/780
5/13 = 300/780
49/60 = 637/780

So, the calculation becomes:
468/780 + 300/780 + 637/780
= (468 + 300 + 637) / 780
= 1405 / 780

Therefore, the final result is 1405/780, which can be further simplified if needed.