Subtracting a Mixed Number from a Mixed Number: Step-by-Step Example
22 October 2026
When your child is learning to subtract mixed numbers, it helps to break the process into calm, simple steps. This example shows how to handle regrouping when the fraction part of the first number is smaller than the second.
Key insight: Regrouping is a useful skill for subtracting mixed numbers, especially when the fractions are different sizes. This step-by-step guide makes it clear.
Worked example
Subtract 4 1/3 from 6 1/4.
Step 1: Look at the fractions. 1/4 is smaller than 1/3, so we need to regroup.
Step 2: Take 1 whole from 6. Now we have 5 wholes. Change the 1 whole into 4/4.
Step 3: Add the 4/4 to 1/4. That makes 5/4.
Step 4: Now subtract the fractions: 5/4 - 1/3. We need a common denominator. 4 and 3 both go into 12.
Step 5: Change 5/4 to twelfths. 5/4 = 15/12. Change 1/3 to twelfths. 1/3 = 4/12.
Step 6: Subtract the fractions: 15/12 - 4/12 = 11/12.
Step 7: Subtract the whole numbers: 5 - 4 = 1.
Step 8: Put the answer together. 1 whole and 11/12.
The correct answer is 1 11/12.
| Step | Working |
|---|---|
| Start | 6 1/4 - 4 1/3 |
| Regroup | 5 5/4 - 4 1/3 |
| Common denominator | 5 15/12 - 4 4/12 |
| Subtract fractions | 15/12 - 4/12 = 11/12 |
| Subtract wholes | 5 - 4 = 1 |
| Final answer | 1 11/12 |
After working through this example, your child will recognise when regrouping is needed in mixed number subtraction. They will also see how to use common denominators to finish the calculation.
A similar question is ready to practise, so your child can build confidence with subtracting mixed number fractions on their own.
