Let's first convert 2 and 1/2 into an improper fraction, it will help later:
[tex]2 \frac{1}{2} = \frac{2*2+1}{2} = \frac{5}{2} [/tex]
Now, just divide:
[tex] \frac{15}{ \frac{5}{2} } [/tex]
Which is the same thing as:
[tex]15 * \frac{2}{5} [/tex]
Which you can simplify to:
[tex] \frac{30}{5} = 6 [/tex]
So your answer will be 6 smaller bags.