Mixed number addition tool

Adding Mixed Numbers Calculator

Add two mixed numbers instantly and see every step - from finding the LCD to simplifying the result. Free, mobile-friendly, and shareable.

FreeStep-by-stepGrade 4-6Instant answer

Calculator

Add 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

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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.

Add mixed numbers in three steps

  1. 1

    Convert to improper fractions

    1frac12 = frac32,quad 2frac14 = frac94
  2. 2

    Find the LCD and add

    frac64 + frac94 = frac154
  3. 3

    Simplify and convert back

    frac154 = 3frac34
See the full adding mixed numbers guide with 3 methods and 10+ examples

Examples

Worked examples

Example 1

1 1/2 + 2 1/4

Simple: unlike denominators, no regrouping

Answer: 3 3/4

  1. 1.Convert 1 1/2 to 3/2 and 2 1/4 to 9/4.
  2. 2.Rename 3/2 as 6/4, then add 6/4 + 9/4 = 15/4.
  3. 3.Convert 15/4 back to 3 3/4.

Try this in the calculator ↑

Example 2

2 3/4 + 1 2/3

Medium: unlike denominators with regrouping

Answer: 4 5/12

  1. 1.Convert to 11/4 + 5/3.
  2. 2.Use LCD 12: 33/12 + 20/12 = 53/12.
  3. 3.Convert 53/12 to 4 5/12.

Try this in the calculator ↑

Example 3

3 5/6 + 2 7/8

Harder: larger LCD

Answer: 6 17/24

  1. 1.Convert to 23/6 + 23/8.
  2. 2.Use LCD 24: 92/24 + 69/24 = 161/24.
  3. 3.Convert 161/24 to 6 17/24.

Try this in the calculator ↑

Tips

Common mistakes to avoid

Wrong: Adding denominators, such as 1/2 + 1/3 = 2/5.

Right: Find the LCD first, then add only the numerators.

Wrong: Forgetting to regroup when the fraction part is 1 or more.

Right: If the fraction sum is 5/4, convert it to 1 1/4 and add the extra whole.

Related

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