Gọi \(ƯCLN\)\(\left(5n+3;7n+4\right)=d\)
\(\Rightarrow\orbr{\begin{cases}5n+3⋮d\Rightarrow7.\left(5n+3\right)⋮d\Rightarrow35n+21⋮d\\7n+4⋮d\Rightarrow5.\left(7n+4\right)⋮d\Rightarrow35n+20⋮d\end{cases}}\)
\(\Rightarrow\left(35n+21\right)-\left(35n+20\right)⋮d\)
\(\Rightarrow1⋮d\Rightarrow d=1\)
\(\Rightarrow\frac{5n+3}{7n+4}\)tối giản