In some math textbooks for primary level, the mixed numbers are written with the integer almost the same height as the fraction. For example:

I want to write in LaTeX mixed numbers like the above image, in math mode and in a text line using \dfrac for write the fraction. My first approach (MWE) is very grotesque, but it does illustrate what I want:
\documentclass{article}
\usepackage{amsmath}
\usepackage{amssymb}
\setlength{\parindent}{0pt}
\begin{document}
In text mode:
{\Huge 3}$\dfrac{1}{5}$.\\
In math mode:
$$\textrm{\Huge 3}\dfrac{1}{5}+\textrm{\Huge 2}\dfrac{4}{7}$$
\end{document}


$$...$$ought not be used in LaTeX.\\ought not be used to break a line outside special contexts such astabularandarray.