Subtracting Mixed Numbers with Different Denominators: Step-by-Step Example
22 October 2026
Subtracting mixed numbers with different denominators can seem tricky at first. The key is to make the denominators the same before you start subtracting.
Here is a clear, step-by-step example to help your child see exactly how it works.
Worked example
4 1/3 - 2 1/6
Step 1. Find a common denominator for the fractions. The denominators are 3 and 6. The lowest common denominator is 6.
Step 2. Change 1/3 to sixths. 1/3 = 2/6. So, 4 1/3 = 4 2/6.
Step 3. Now subtract 2 1/6 from 4 2/6.
Step 4. Subtract the whole numbers: 4 - 2 = 2.
Step 5. Subtract the fractions: 2/6 - 1/6 = 1/6.
Step 6. Put the answers together: 2 1/6.
The correct answer is 2 1/6.
| Step | Working |
|---|---|
| Start | 4 1/3 - 2 1/6 |
| Common denominator | 4 2/6 - 2 1/6 |
| Subtract whole numbers | 4 - 2 = 2 |
| Subtract fractions | 2/6 - 1/6 = 1/6 |
| Final answer | 2 1/6 |
After following these steps, your child will recognise how to line up the denominators and subtract both the whole numbers and fractions. They can now try similar questions to build confidence with subtracting mixed numbers in 11+ maths.
