To find the answer, change the fractions into whole numbers.
$$49\frac{1}{4}+3\frac{3}{8}\\\\=49\frac{2}{8}+3\frac{3}{8}$$
Now, add the whole numbers.
$${\mathtt{49}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}} = {\mathtt{52}}$$
Now, add the fractions.
$${\frac{{\mathtt{2}}}{{\mathtt{8}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{3}}}{{\mathtt{8}}}} = {\frac{{\mathtt{5}}}{{\mathtt{8}}}}$$
Now, combine the final answer of the fractions and whole numbers together and you get the answer $$52\frac{5}{8}$$.
$$\mbox{Final\;Answer}:\;52\frac{5}{8}$$
Hope it helps!