How long does it take to recover from a broken lower fibular/tibia?

3 months. Typically, in an uncomplicated case it takes 3 months (6-8 weeks for initial healing and an additional 6-8 weeks for early remodeling).
Fibula fracture. The tibia is on one side of the ankle and the fibula is on the other. Without an x ray to evaluate the extent of the injury this is best answered by a physician who can evaluate the injury.