First, convert all fractions to the lowest common denominator: 20
It takes 5/20 of an hour to string bracelets and 2/20 of an hour to string them. Thus, it takes 7/20 of an hour to make one bracelet.
Megan has 5 and 4/20 hours, or 104/20 hours, to make bracelets. Here, we must divide 104/20 hours by 7/20 hours.
Really, it is dividing 104 by 7 since they have the same denominator. 104/7 is 14.86, so she can make 14 whole bracelets in 5 and 1/4 hours.