Answer
$\frac{11}{60}$
Work Step by Step
Make the fractions similar using their LCD of $60$:
$\frac{3}{5}-\frac{5}{12}
\\=\frac{3\color{blue}{(12)}}{5\color{blue}{(12)}}-\frac{5\color{blue}{(5)}}{12\color{blue}{(5)}}
\\=\frac{36}{60}-\frac{25}{60}$
Subtract the numerators then copy the denominator to obtain:
$=\frac{36-25}{60}
\\=\frac{11}{60}$