How to Simplify 106/36

Are you looking to calculate how to simplify 106/36? In this really simple guide, we'll teach you exactly how to simplify 106/36 and convert it to the lowest form (this is sometimes calling reducing a fraction to the lowest terms).

To start with, the number above the line (106) in a fraction is called a numerator and the number below the line (36) is called the denominator.

So what we want to do here is to simplify the numerator and denominator in 106/36 to their lowest possible values, while keeping the actual fraction the same.

To do this, we use something called the greatest common factor. It's also known as the greatest common divisor and put simply, it's the highest number that divides exactly into two or more numbers.

In our case with 106/36, the greatest common factor is 2. Once we have this, we can divide both the numerator and the denominator by it, and voila, the fraction is simplified:

106/2 = 53

36/2 = 18

53 / 18

What this means is that the following fractions are the same:

106 / 36 = 53 / 18

You might have noticed that the numerator is greater than the denominator in 106/36. This is known as an improper fraction and we can further simplify it down to a mixed fraction:

2 17/18

So there you have it! You now know exactly how to simplify 106/36 to its lowest terms. Hopefully you understood the process and can use the same techniques to simplify other fractions on your own. The complete answer is below:

2 17/18

Convert 106/36 to Decimal

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

106 / 36 = 2.9444