Apologies if this is in the wrong category...

I have the dinette chairs that open for storage underneath the seats.  The seats are covered with fabric, which has become very dirty.  Is there any way to clean the fabric rather than recovering the chairs?

While I'm at it, any suggestions on how to clean beige carpet without using a water based solution which needs a lot of drying time (not to mention the risk of getting the floorboards underneath soaked)?

Thanks!