Mastering Arithmetic Reasoning: Converting Percentages to Fractions

When gearing up for the Armed Forces Classification Test (AFCT), mastering arithmetic reasoning is crucial. Let’s tackle one essential aspect: turning percentages into fractions. You might be wondering, "Why does this matter?" Well, it’s fundamental math that often pops up in real-world situations and tests alike. So, how do we convert 15% into a fraction, anyway?

First off, the term “percent” means “per hundred.” So, when you hear 15%, think of it as 15 out of 100. Mathematically, you can express it like this:

[ 15% = \frac{15}{100} ]

Pretty simple, right? But wait, there’s more! To make this fraction truly shine, you need to simplify it. Both 15 and 100 share a greatest common divisor (GCD) of 5, which means we can cut them down a notch. Here’s how you do it:

[ \frac{15 \div 5}{100 \div 5} = \frac{3}{20} ]

And there you have it! 15% expressed as a fraction is simplified to 3/20. This fraction perfectly conveys the percentage, while our other options — 1/8, 1/6, and 1/5 — fall short of matching that.

Now, you might ask, “What’s the point of all this?” Great question! Understanding how to convert percentages into fractions not only helps you ace the AFCT but also makes you sharper in everyday financial decisions—like calculating discounts or determining interest rates. These skills come in handy in a myriad of situations, like snagging a deal at your favorite store or budgeting your finances.

But there’s more; practicing these conversions can build your confidence and mathematical fluency. Think of it this way: each little bit of knowledge adds up to a bigger understanding, kind of like stacking building blocks. The more you practice, the easier it gets–before you know it, you'll be converting percentages into fractions like a pro!

So, as you prepare for the AFCT, don’t just memorize the steps; really dig into the why behind it. Can you see the bigger picture now? It’s not just about passing a test; it’s about developing skills that will serve you throughout your life. So, grab your calculator, mix in a bit of practice, and let's express those percentages with confidence!