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### Course: 4th grade (2018 edition)>Unit 3

Lesson 4: Comparing fractions with unlike denominators

# Comparing fractions review

Review comparing fractions with common denominators, and try some practice problems.

## Comparing fractions

We can compare fractions by seeing which one takes up a greater portion of the same whole.

### Comparing fractions using common denominators

Let's look at an example.
Compare.
start fraction, 3, divided by, 4, end fraction __ start fraction, 5, divided by, 10, end fraction
Let's change the fractions to have a common denominator of 20: (Want to review common denominators? Check out this article.)
$\begin{array}{rcl}\frac{3}{4}×\frac{5}{5}& =& \frac{15}{20}\\ \\ \frac{5}{10}×\frac{2}{2}& =& \frac{10}{20}\end{array}$
Now that our fractions have the same denominator, we compare their numerators:
start color #11accd, 15, end color #11accd, is greater than, start color #1fab54, 10, end color #1fab54
start color #11accd, start fraction, 15, divided by, 20, end fraction, end color #11accd, is greater than, start color #1fab54, start fraction, 10, divided by, 20, end fraction, end color #1fab54
start color #11accd, start fraction, 3, divided by, 4, end fraction, end color #11accd, is greater than, start color #1fab54, start fraction, 5, divided by, 10, end fraction, end color #1fab54