To solve the question, change every denominator into the lowest denominator.
So, $$2\frac{3}{8}+\frac{1}{2}+7\frac{3}{4}=2\frac{3}{8}+\frac{4}{8}+7\frac{6}{8}$$.
$$2\frac{3}{8}=2\frac{3}{8}$$
$$\frac{1}{2}=\frac{4}{8}$$
$$7\frac{3}{4}=7\frac{6}{8}$$
So, our lowest common denominator is $${\mathtt{8}}$$.
For now, let's ignore the whole numbers. So, we only add the fractions.
$$\frac{3}{8}+\frac{4}{8}+\frac{6}{8}=\frac{13}{8}$$
Now, make $${\frac{{\mathtt{13}}}{{\mathtt{8}}}}$$ into a whole number.
$$\frac{13}{8}=1\frac{5}{8}$$
Now, let's add the whole numbers.
$${\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}} = {\mathtt{10}}$$
Now, combine the whole answer together and they make the answer.
$$Answer: 10\frac{5}{8}$$ is the answer in simplest form.
Hope it helps!