"减到最小限度" can be translated into English as "reduce to the minimum" or "minimize to the greatest extent possible".
"Reduce to the minimum" is a direct and concise translation, emphasizing the action of bringing something down to the lowest possible level.
"Minimize to the greatest extent possible" provides a more detailed and slightly formal expression, highlighting the effort to achieve the smallest possible amount or degree.
Both expressions are appropriate depending on the context and desired level of formality.