First, we need to find a common denominator for each pair of fractions:

5/24 + 11/60 = $5<em>5$/$24</em>5$ + $11<em>2$/$60</em>2$ = 25/120 + 22/120 = 47/120

13/60 + 1/24 = $13<em>2$/$60</em>2$ + 5/120 = 26/120 + 5/120 = 31/120

Now, we can add the pairs of fractions together:

47/120 + 31/120 = 78/120 = 13/20

Therefore, $5/24+11/60$ + $13/60+1/24$ = 13/20.