Answer:
[tex]\large\boxed{0.0825=\dfrac{33}{400}}[/tex]
Step-by-step explanation:
[tex]0.\underbrace{0825}_{4}=\dfrac{825}{1\underbrace{0000}_{4}}\\\\\dfrac{825}{1000}=\dfrac{825:25}{10000:25}=\dfrac{33}{400}[/tex]