The cookie factory made 2 batches of cookies.
Steps
1. Divide 9 and 1/2 by 4 and 3/4
 
 1 3 19 19 19 4 76
9 --- ÷  4 ---  = ---- ÷ ----  =  ---- * ---- =  ---- = 2
 2 4 2 4 2 19 38
2. Check Your Answer, 4 and 3/4 times 2 should equal 9 and 1/2 if we are correct, if not we made a mistake.
 3 19 2 38 1
4 --- * 2 = ----  * --- = ---- = 9.50  = 9 ---
 4 4 1 4 2
3. Conclusion - The cookie Factory Made 2 Batches of Cookies