Answer
27
Work Step by Step
We convert mixed fractions to improper fractions and use the order of operations to simplify as follows:
$$
1\frac{3}{8}-\frac{1}{2}\frac{3}{4}+1\frac{5}{8}\div \frac{1}{16}=
\frac{11}{8}-\frac{3}{8}+\frac{13}{8}\div \frac{1}{16}\\
=\frac{11-3}{8}+\frac{13}{8}\cdot 16=\frac{8}{8}+26=27.\\
.$$
