Guide
How to Compare and Order Fractions
To compare fractions fairly, you have to measure them with the same-size pieces.
You can't always tell which fraction is bigger just by looking, because the pieces are different sizes. Give them a common denominator (or convert to decimals) so they're directly comparable.
Step by step
- 1Find a common denominator
For 2/3 and 3/5, the common denominator is 15. - 2Rewrite each fraction
2/3 = 10/15 and 3/5 = 9/15. - 3Compare the numerators
10 is greater than 9, so 2/3 is greater than 3/5. - 4Order them
To order a list, convert all to the common denominator and arrange by numerator.
Worked example
Compare 2/3 and 3/5. The common denominator is 15. Rewrite as 10/15 and 9/15. Since 10 > 9, 2/3 > 3/5.
Common mistakes to avoid
- Assuming the fraction with the bigger numbers is larger.
- Comparing numerators without first matching the denominators.
- Forgetting that with the same numerator, the smaller denominator is the larger fraction.
Practice this skill
Try it yourself on the Comparing Fractions Calculator, generate a printable worksheet, or work through it one step at a time in guided practice.
Frequently asked
How do you compare two fractions?
Give them a common denominator and compare the numerators, or convert both to decimals and compare those.
Which is bigger, 2/3 or 3/5?
Over a common denominator of 15, they are 10/15 and 9/15, so 2/3 is bigger.
If two fractions have the same numerator, which is bigger?
The one with the smaller denominator, because the pieces are larger. For example 1/3 is bigger than 1/5.