Comparing Fractions With Different Denominators

As we've begun our study of fractions, we've learned how to identify equivalent fractions.

We used the equal fractions property to create equivalent fractions.

We will also use this same property to help us compare fractions with different denominators.


Equal Fractions Property

If the numerator and denominator of a fraction are multiplied (or divided) by the same nonzero number, then the resulting fraction is equivalent to the original fraction.

Remember how we multiplied the numerator and denominator by the same number in order to create equivalent fractions?

We will use the same process to compare fractions. Take a look....


Example 1 -  Are these two fractions equal?


Are these two fractions equal?

If you are confused, please take a look at the video lesson below that will fully explain Example 1.


That example was pretty easy since 8 is a factor of 24.

Now let's take a look at another example that is a little harder. In this example we will use our knowledge of least common multiple.


Example 2 - Which fraction is greater?


Determining which fraction is greater


Take a look at this example on video!

In Order to Compare Fractions...

You must always make sure that the fractions have the same denominator.


Let's take a look at one more example for comparing fractions with different denominators. This time we'll compare more than two fractions.

Example 3 - Ordering from least to greatest


Comparing fractions with different denominators and ordering from least to greatest


Hopefully you now feel comfortable comparing and ordering proper fractions.


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