∿Mixed Number Calculator

Mixed number division tool

Dividing Mixed Numbers Calculator

Divide mixed numbers instantly using the Keep-Change-Flip method. See every step - conversion, KCF, cross-cancellation, and the simplified result.

FreeStep-by-stepGrade 5-7Instant answer

Updated

2026-03-20

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Calculator

Divide mixed numbers - enter values and press Calculate

Operand A

Operand B

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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.

Divide mixed numbers with Keep-Change-Flip

  1. 1

    Convert to improper fractions

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

    Keep the first fraction

    frac94 div frac32 rightarrow frac94 div frac32
  3. 3

    Change division to multiplication and flip the second

    frac94 times frac23
  4. 4

    Multiply, simplify, convert back

    frac1812 = frac32 = 1frac12

KCF Memory Card

K Keep - the first fraction stays exactly as it is

C Change - division sign becomes multiplication

F Flip - only the second fraction gets flipped

Common trap: never flip the first fraction.

See the full dividing mixed numbers guide with 3 methods and 10+ examples

Examples

Worked examples

Example 1

2 1/4 / 1 1/2

Simple: standard KCF

Answer: 1 1/2

  1. 1.Convert to 9/4 / 3/2.
  2. 2.Keep, change, flip: 9/4 x 2/3.
  3. 3.Multiply to get 18/12, simplify to 3/2 = 1 1/2.

Try this in the calculator ↑

Example 2

3 3/4 / 1 1/4

Medium: whole-number result

Answer: 3

  1. 1.Convert to 15/4 / 5/4.
  2. 2.Keep, change, flip: 15/4 x 4/5.
  3. 3.Cancel 4 with 4, then 15/5 = 3.

Try this in the calculator ↑

Example 3

2 2/3 / 1 1/5

Harder: simplification needed

Answer: 2 2/9

  1. 1.Convert to 8/3 / 6/5.
  2. 2.Keep, change, flip: 8/3 x 5/6.
  3. 3.Multiply to get 40/18, simplify to 20/9 = 2 2/9.

Try this in the calculator ↑

Tips

Common mistakes to avoid

Wrong: Flipping the first fraction.

Right: Only the second fraction, the divisor, gets flipped. The first fraction stays put.

Wrong: Forgetting to convert mixed numbers before KCF.

Right: Always convert to improper fractions first. KCF works on fractions, not mixed numbers.

Wrong: Skipping cross-cancellation.

Right: Cross-cancel before multiplying to keep numbers small and avoid large simplification later.

Related

Related tools and guides

How to Divide Mixed Numbers (full guide)

Learn Keep-Change-Flip with fuller examples and error checks.

Multiplying Mixed Numbers Calculator

Practice the multiplication step used after KCF.

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.