#### Answer

$6\dfrac{13}{16}$

#### Work Step by Step

Make the fractions similar using their LCD, which is $16$, to obtain:
\begin{array}{cc}
&&10\dfrac{2}{16}
\\&- &\underline{3\dfrac{5}{16}}
\end{array}
Note that:
$10\dfrac{2}{16}
\\= (9+1)+\dfrac{2}{16}
\\= 9+\dfrac{16}{16}+\dfrac{2}{16}
\\=9+\dfrac{18}{16}
\\=9\dfrac{18}{16}$
Thus, the given subtraction expression is equivalent to:
\begin{array}{cc}
&&9\dfrac{18}{16}
\\&- &\underline{3\dfrac{5}{16}}
\end{array}
Subtract the whole numbers together and the fractions together to obtain:
$=(9-3) + \left(\dfrac{18-5}{16}\right)
\\=6+\dfrac{13}{16}
\\=6\dfrac{13}{16}$