Comparing Fractions Worksheets
Free printable comparing fractions worksheets with answer keys. Write <, > or = between two fractions.
Using this page
Write <, > or = between two fractions. Choose questions with the same denominator, the same numerator, or any fractions, where some pairs are equal. The Common Core asks Grade 3 children to compare fractions with the same numerator or denominator and Grade 4 children to compare any two fractions, for example by finding a common denominator. Suits around Year 4 to Year 6 in Australia and Grades 3 and 4 in the US (Common Core 3.NF.A.3 and 4.NF.A.2), but use whatever level fits the child.
Tips
- Draw a quick bar or circle when a question feels abstract; pictures make fraction rules make sense.
- Say fractions in words, such as 'three eighths', to keep the size of the parts in mind.
- Simplify answers at the end unless your class does it differently.
- Link fractions to money and time: a quarter of a dollar is 25 cents and a quarter of an hour is 15 minutes.
Worked example
3/4 and 5/8. Make the denominators the same: 3/4 = 6/8. Now compare 6/8 and 5/8: six eighths is more, so 3/4 > 5/8. With the same numerator, as in 2/5 and 2/7, fifths are bigger pieces than sevenths, so 2/5 > 2/7.
Common mistakes
Thinking a bigger denominator means a bigger fraction, so 1/8 > 1/4. More pieces means smaller pieces.
Mixing up the < and > signs. The open side faces the bigger number.
How to use this generator
Choose the options above the sheet: the number of questions and the settings for this kind of worksheet. Every change makes a new sheet straight away, and New worksheet gives a different set of questions with the same settings.
Each sheet has a worksheet number printed at the top. Type the same number later, or keep the page link, to print exactly the same questions and answer key again. Leave Answer key page ticked to print the answers on a second page, then press Print. Every printed page carries the makekite logo and web address.
Common questions
Is cross-multiplying allowed?
Yes, as a quick check: for a/b and c/d compare a × d with c × b. It is best used after children understand common denominators.
How are answers written in the key?
Fraction answers are given in simplest form, and answers greater than one are written as mixed numbers, such as 1 1/3.
Can I print the same worksheet again?
Yes. Note the worksheet number printed at the top, or keep the link in your browser's address bar, which ends with that number. Entering it later gives the same questions and answers.
Is it free?
Yes. There is no sign-up, and nothing you choose is sent anywhere: the sheets are made in your browser.