Number of bracelets she can make from 15 1/6 = 91/6 foot of string is :
[tex]n_1=\dfrac{\dfrac{91}{6}}{\dfrac{1}{2}}\\\\n_1=30.33[/tex]
So, number of bracelets from 15 1/6 foot string are 30.
Now,
Number of bracelets she can make from 12 1/3 = 35/3 foot of string is :
[tex]n_2=\dfrac{\dfrac{35}{3}}{\dfrac{1}{2}}\\\\n_2=23.33[/tex]
Number of bracelets from 12 1/3 foot string are 23.
Therefore, total number of bracelets she can make is 23 + 30 = 53.
Hence, this is the required solution.