Imagine you have a delicious **pizza** cut into 6 equal slices. Your friend asks if they can have a piece. Being the generous person you are, you say “Of course! Help yourself to 5/6 of the pizza.”

Your friend looks at you quizzically. “Uh, how much is that as a **decimal**?” Great question! Let’s break it down in a way that’s as easy as pie (or pizza pie in this case).

## A Slice of Fraction Knowledge

Before we dive into decimals, let’s do a quick refresher on **fractions**. A fraction represents a part of a whole. The number on top is called the numerator and the number on bottom is the denominator.

So in our pizza example, the fraction is 5/6. If we wanted to say that in plain English, it would be “five sixths.” The numerator 5 represents the number of slices, and the denominator 6 represents the total slices the pizza was cut into.

## Converting Our Pizza Fraction to a Decimal

Now that we’ve whet our appetite on fractions, let’s sink our teeth into changing 5/6 into a **decimal**. The good news is, it’s actually pretty simple! Here’s the recipe:

- Take the numerator (in this case 5) and divide it by the denominator (6).
- Carry out the long division until you either have no remainder or the decimal starts repeating.
- And voila! There’s your decimal.

So let’s work it out:

5 ÷ 6 = 0.8333333…

The decimal goes on forever, with the 3 repeating over and over. In math lingo, we call that a **repeating decimal**.

### A Shorthand for Repeating Decimals

Writing out a bunch of 3’s forever can get pretty tedious. Luckily, mathematicians came up with a nifty shorthand. They place a line or vinculum over the repeating part, like so:

0.8̅3̅

Much easier than an infinite string of 3’s, right? This notation means “0.8, followed by 3’s that go on forever.” It’s like a secret code that says “Repeat the part under the line, over and over into oblivion!” (Okay maybe not that dramatic, but you get the point.)

## Putting It All Together

So to recap, when somenoe asks you **what is 5/6 as a decimal**, you can confidently reply:

“5/6 as a **decimal** is 0.8̅3̅, my friend! It’s like saying you can have 0.8333333… of my pizza, forever and ever. Or, if we’re rounding, about 0.83 or 83% of the pizza. Buon appetito!”

Congratulations, you’ve just mastereed converting fractions to decimals! No more scratching your head when your pizza-loving pal asks for their share as a **decimal**. Now who wants a slice?