How to Subtract Mixed Numbers — Step-by-Step Guide
Subtracting mixed numbers follows the same basic process as addition — but with one extra challenge: borrowing. This guide covers both the standard method and the borrowing method with clear worked examples.
In this article
Standard method for subtracting mixed numbers
Convert to improper fractions
Multiply whole × denominator, add numerator. Example: 5⅓ = 16/3
Find the common denominator
Find the LCD of both denominators and rewrite both fractions.
Subtract the numerators
Subtract the second numerator from the first, keeping the denominator.
Simplify and convert back
Simplify and convert the improper fraction back to a mixed number.
Worked example
Step 1 — Convert: 5⅓ = 16/3 and 2⅔ = 8/3
Step 2 — Same denominator (3), no change needed
Step 3 — Subtract: 16 − 8 = 8 → 8/3
Step 4 — Convert: 8 ÷ 3 = 2 remainder 2 → 2⅔
Check your answer instantly
Use our free mixed number calculator — select Subtract for full step-by-step working.
Try the Mixed Number Calculator →The borrowing method
When the fraction part of the first mixed number is smaller than the second, you need to borrow 1 from the whole number.
¼ is smaller than ¾ so borrow. Take 1 from whole: 3¼ = 2 + 5/4
Now subtract: whole 2−1=1, fraction 5/4−3/4=2/4=½
Answer: 1½
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Common mistakes
- Forgetting to borrow — when the first fraction is smaller than the second, borrowing is required.
- Borrowing incorrectly — add the full denominator when borrowing, not just 1.
- Not finding a common denominator — required when denominators differ.
- Forgetting to simplify — always reduce the final fraction to lowest terms.
Use the calculator
Our mixed number calculator handles all subtraction cases automatically including borrowing. Select Subtract, enter your values, and click Calculate.