To solve this problem, we first convert the mixed number to an improper fraction:

[ -7\frac{1}{2} = -\left(\frac{2\times7 + 1}{2}\right) = -\frac{15}{2} ]

Now, we can divide this fraction by -5:

[ -\frac{15}{2} \div (-5) = -\frac{15}{2} \times \frac{1}{-5} = \frac{15}{2} \times \frac{1}{5} = \frac{15}{10} = \frac{3}{2} ]

So,

[ -7\frac{1}{2} /(-5) = \frac{3}{2} ] or [ -1\frac{1}{2} ]