\[14\frac{5^{\backslash 2}}{24}a - 3\frac{7^{\backslash 4}}{12}a - 5\frac{9^{\backslash 3}}{16}a =\]
\[= 6\frac{10 - 28 - 27}{48}a =\]
\[= \left( 6 - \frac{45}{48} \right)a =\]
\[= 5\frac{3}{48}a = 5\frac{1}{16}a\]