Is the normal rib fractures recovery time 9 months?

No: That is not normal. Bony fractures, in an otherwise health individual with good nutrition will take anywhere from 2-6 weeks to heal. At 9 months after rib fracture, two most common things would be a 1. "fracture non-union" or 2. Healed bone with some injury and or entrapment of intercostal nerve.

6 weeks: A rib fracture heals like any other bone, taking six weeks to achieve sufficient strength. Soreness may be present far longer, but the actual fracture should be healed in a normal time period.