\[5\frac{13^{\backslash 4}}{15} + 1\frac{7^{\backslash 5}}{12} = 5\frac{52}{60} + 1\frac{35}{60} =\]
\[= 6\frac{52 + 35}{60} = 6\frac{87}{60} = 7\frac{27}{60} = 7\frac{9}{20}\]