$\text{a)}\\A=\dfrac{7}{n+3}\\\text{1)}\\\text{Để A là phân số }\leftrightarrow n+3\ne0\\\to n\ne-3\\\text{2)}\\A=\dfrac{7}{n+3}\,\,(n\ne-3)\\\text{Để A nguyên }\leftrightarrow n+3\in{Ư(7)=\{\pm1;\,\pm7\}}\\\to n\in{\{-2;\,-4;\,4;\,-10\}}\\\text{b)}\\ B=\dfrac{5}{n-3}\\\text{1)}\\\text{Để B là phân số }\leftrightarrow n-3\ne0\\\to n\ne3\\\text{2)}\\B=\dfrac{5}{n-3}\,\,(n\ne3)\\\text{Để B nguyên }\leftrightarrow n-3\in{Ư(5)=\{\pm1;\,\pm5\}}\\\to n\in{\{4;\,2;\,8;\,-2\}} $