No borrowing needed
- 1
Find the LCD and rename fractions
frac78 - frac38Same denominator, so the LCD step is already done.
- 2
Subtract whole numbers and fractions
5 - 2 = 3,quad frac78 - frac38 = frac48 - 3
Simplify
3frac48 = 3frac12
Mixed number subtraction tool
Subtract mixed numbers instantly with full step-by-step work - including borrowing when needed. Free, mobile-friendly, and shareable.
Updated
2026-03-20
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Calculator
History
Your last 10 calculations
History
Your last 10 calculations
How it works
The calculator shows the same core arithmetic students are expected to write, but in a shorter format focused on getting the answer and checking each step.
Find the LCD and rename fractions
frac78 - frac38Same denominator, so the LCD step is already done.
Subtract whole numbers and fractions
5 - 2 = 3,quad frac78 - frac38 = frac48Simplify
3frac48 = 3frac12Check whether the top fraction is large enough
frac14 < frac34Borrow 1 from the whole number
3frac14 rightarrow 2 + frac44 + frac14 = 2frac54Subtract
2 - 1 = 1,quad frac54 - frac34 = frac24Simplify
1frac24 = 1frac12Examples
Example 1
Simple: same denominator, no borrowing
Answer: 3 1/2
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Example 2
Medium: same denominator with borrowing
Answer: 1 1/2
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Example 3
Harder: unlike denominators and borrowing
Answer: 1 7/12
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Tips
Wrong: Subtracting immediately when the top fraction is smaller.
Right: Check first. If the top fraction is smaller, borrow before subtracting.
Wrong: Forgetting to reduce the whole number after borrowing.
Right: Borrowing takes 1 away from the whole number, so write the new whole number down.
Wrong: Changing the denominator when borrowing.
Right: The denominator stays the same. Only the numerator grows by the denominator value.
Related
How to Subtract Mixed Numbers (full guide)
See the complete borrowing and improper-fraction workflows.
Adding Mixed Numbers Calculator
Switch to the matching calculator for addition problems.
Fraction Calculator
A broader fraction calculator for pure fraction operations.
Mixed Number Calculator
Return to the full mixed number calculator hub.
Simplify Fractions
Reduce final answers to lowest terms after calculating.
Mixed Number to Improper Fraction
Review the conversion step used before most mixed number operations.