At the 2007 Math Olympics, Team Canada won $17$ out of a possible $100$ medals. Which one of the following is closest to the fraction of medals that they won? $$
\frac{1}{4} \qquad \frac{1}{5} \qquad \frac{1}{6} \qquad \frac{1}{7} \qquad \frac{1}{8}
$$
I think that we should divide 17 by 100 to find what fraction of the medals Canada won. But which of the numbers in the list is closest to the result? We could just try them all and see which one gives us the smallest result. I agree. Let's start with $\frac{1}{4}$. If we divide 17 by 100, we get $\frac{17}{100}$. $\frac{1}{4}=0.25,\frac{1}{5}=0.2,\frac{1}{6}=0.16666666666666666666666666666667,\frac{1}{7}=0.1428571428571428571428571428571,\frac{1}{8}=0.125$. Now let's see which of these numbers is closest to $\frac{17}{100}$. To compare them easily, let's write all of them as decimals. $\frac{17}{100}=0.17$. So, the closest number is $0.16666666666666666666666666666667}$ which corresponds to $\boxed{\frac{1}{6}$.

