Creating website mobile friendly without revamping the theme?

[Liliana]

So I am getting pretty deep into my site design and content. Unfortunately, I just observed how badly my website design converts to mobile watching. Is there a way to create my website more mobile friendly without completely revamping the theme? I like the design of some of the other styles on mobile but observed that with them, there is actually some content that gets cut off on one side on occasion.

Any suggestions? Thanks