How to Add Mixed Numbers with Regrouping
Learn what to do when adding mixed numbers gives you an improper fraction. Follow the worked examples, then try it yourself.
See It
Study the worked examples below. Each step is shown so you can follow exactly how the problem is solved.
Do It
Now it's your turn. Grab a pencil and paper and try these problems using the method you just studied.
Check It
Done? Reveal the answer key to check your work.
What Is Regrouping When Adding Mixed Numbers?
When you add two mixed numbers, sometimes the fraction parts add up to more than a whole — for example, 2 3/4 + 1 3/4 gives you 3 and 6/4. Since 6/4 is an improper fraction, you need to regroup: convert 6/4 to 1 2/4 (or 1 1/2), then add that extra 1 to the whole number part, giving you 4 1/2.
The process is: add the whole numbers, add the fractions, and if the fraction sum is improper, convert it to a mixed number and combine. It's the same idea as carrying in addition — when a column adds up to more than its place value, you regroup.
Adding mixed numbers with regrouping appears throughout everyday math — from adding measurements in recipes to combining lengths in building projects. Once you master the regrouping step, mixed number addition becomes straightforward.
This Is One Activity From Book 2: Fractions
The full book has 40 activities just like this one — each with worked examples, matching practice problems, and a complete answer key. No tutor needed. No app. Just a pencil and a workbook.
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