Does It Terminate?

<p>You might ask yourself the following question: <strong><span style="color:#27ae60;">Does the fraction terminate</span></strong>? To answer that question, follow these steps:</p> <ul> <li>Simplify the fraction to its simplest form so that there are no shared factors among the numerator and denominator.</li> <li>If there are only powers of $2$ in the denominator, it definitely terminates.</li> <li>If there are only powers of $5$ in the denominator, it definitely terminates.</li> <li>If there is a combination of only powers of $2$ and $5$ in the denominator, it definitely terminates.</li> </ul> <p><span style="font-size:20px;"><span style="color:#e74c3c;">Example</span></span></p> <p>$$\frac{n}{2^45^7}$$</p> <p>If $n$ is an integer -- any integer -- then the fraction above will&nbsp;<strong><u>always</u></strong>&nbsp;terminate. Test it out with some various integers.</p>