Annie has $\frac{3}{2}$ pounds of cookie dough. If she needs $\frac{1}{16}$ of a pound of cookie dough to make one cookie, how many cookies can she make?
To find out how many cookies Annie can make, I need to divide the total amount of cookie dough by the amount of cookie dough per cookie. I can write this as a fraction division problem: $\frac{3}{2} \div \frac{1}{16}$. To divide fractions, I can multiply by the reciprocal of the divisor: $\frac{3}{2} \times \frac{16}{1}$. I can simplify this by canceling out common factors: $\frac{3}{2} \times \frac{16}{1} = \frac{3}{1} \times \frac{8}{1}$. I can multiply the numerators and the denominators: $\frac{3}{1} \times \frac{8}{1} = \frac{24}{1}$. I can write this as a whole number: $\frac{24}{1} = 24$. This means Annie can make 24 cookies with $\frac{3}{2}$ pounds of cookie dough.

