Mixed number subtraction tool

Subtracting Mixed Numbers Calculator

Subtract mixed numbers instantly with full step-by-step work - including borrowing when needed. Free, mobile-friendly, and shareable.

FreeStep-by-stepGrade 4-6Instant answer

Calculator

Subtract mixed numbers - enter values and press Calculate

Operand A

Enter a whole part and a fraction.

Use +/- or drag a field sideways to adjust quickly.

Operand B

Enter a whole part and a fraction.

Use +/- or drag a field sideways to adjust quickly.

Choose an operator

Open history

History

Your last 10 calculations

Your solved problems appear here for one-tap reload.

How it works

How the calculator 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.

No borrowing needed

  1. 1

    Find the LCD and rename fractions

    frac78 - frac38

    Same denominator, so the LCD step is already done.

  2. 2

    Subtract whole numbers and fractions

    5 - 2 = 3,quad frac78 - frac38 = frac48
  3. 3

    Simplify

    3frac48 = 3frac12

Borrowing needed

  1. 1

    Check whether the top fraction is large enough

    frac14 < frac34
  2. 2

    Borrow 1 from the whole number

    3frac14 rightarrow 2 + frac44 + frac14 = 2frac54
  3. 3

    Subtract

    2 - 1 = 1,quad frac54 - frac34 = frac24
  4. 4

    Simplify

    1frac24 = 1frac12
See the full subtracting mixed numbers guide with 3 methods and 10+ examples

Examples

Worked examples

Example 1

5 7/8 - 2 3/8

Simple: same denominator, no borrowing

Answer: 3 1/2

  1. 1.Subtract wholes: 5 - 2 = 3.
  2. 2.Subtract fractions: 7/8 - 3/8 = 4/8.
  3. 3.Simplify 3 4/8 to 3 1/2.

Try this in the calculator ↑

Example 2

3 1/4 - 1 3/4

Medium: same denominator with borrowing

Answer: 1 1/2

  1. 1.Borrow from 3 1/4 to make 2 5/4.
  2. 2.Subtract 2 5/4 - 1 3/4 = 1 2/4.
  3. 3.Simplify 1 2/4 to 1 1/2.

Try this in the calculator ↑

Example 3

4 1/3 - 2 3/4

Harder: unlike denominators and borrowing

Answer: 1 7/12

  1. 1.Use LCD 12: 4 4/12 - 2 9/12.
  2. 2.Borrow to make 3 16/12 - 2 9/12.
  3. 3.Subtract to get 1 7/12.

Try this in the calculator ↑

Tips

Common mistakes to avoid

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

Related tools and guides