Is 3/9 Less Than 6/9?

Are you looking to calculate whether 3/9 is less than 6/9? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 3/9 is smaller than 6/9 and walk you through the step-by-process of how the calculation is made.

Want to quickly learn or show students how to compare 3/9 and 6/9? Play this very quick and fun video now!

A quick reminder on fractions before we start: the number at the top of the fraction is called the numerator and the number at the bottom of the fraction line is called the denominator.

There are two methods to calculate if 3/9 is smaller than 6/9 and which one you use will depend on the problem you're trying to solve:

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 3/9 and 6/9 side by side so they are easier to see:

Converting Denominator

3 / 9 & 6 / 9

As you can see, the denominator is the same for both fractions already, so we don't need to convert either fraction. All we need to do is look at the numerators above the fraction line.

We can clearly see by looking at the numerators that 3 is less than 6 which also means that 3/9 is smaller than 6/9.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

3/9 = 0.3333
6/9 = 0.6667

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.3333 is less than 0.6667 which also means that 3/9 is less than 6/9.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is less than another or not!

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