∿Mixed Number Calculator

Mixed number multiplication tool

Multiplying Mixed Numbers Calculator

Multiply mixed numbers instantly - no LCD needed. See the improper fraction conversion, cross-cancellation, and simplified result in full step-by-step detail.

FreeStep-by-stepGrade 5-7Instant answer

Updated

2026-03-20

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Open the complete guide

Calculator

Multiply 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.

Multiply mixed numbers in four steps

  1. 1

    Convert to improper fractions

    2frac12 = frac52,quad 1frac13 = frac43
  2. 2

    Multiply straight across

    frac52 times frac43 = frac206
  3. 3

    Simplify

    frac206 = frac103
  4. 4

    Convert back to mixed number

    frac103 = 3frac13

Golden Rule

No LCD needed for multiplication.

Convert -> Multiply -> Simplify -> Convert back.

Works every single time.

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

Examples

Worked examples

Example 1

2 1/2 x 1 1/3

Simple: standard workflow

Answer: 3 1/3

  1. 1.Convert to 5/2 x 4/3.
  2. 2.Multiply to get 20/6.
  3. 3.Simplify to 10/3, then convert to 3 1/3.

Try this in the calculator ↑

Example 2

2 2/3 x 1 7/8

Medium: cross-cancellation helps

Answer: 5

  1. 1.Convert to 8/3 x 15/8.
  2. 2.Cancel 8 with 8 and 15 with 3.
  3. 3.Multiply the remaining factors to get 5.

Try this in the calculator ↑

Example 3

1 3/4 x 2 2/5

Harder: simplification needed

Answer: 4 1/5

  1. 1.Convert to 7/4 x 12/5.
  2. 2.Cross-cancel 12 and 4 to get 3 and 1.
  3. 3.Multiply 7 x 3 over 5 to get 21/5 = 4 1/5.

Try this in the calculator ↑

Tips

Common mistakes to avoid

Wrong: Looking for a common denominator before multiplying.

Right: Multiplication never needs an LCD. Convert and multiply straight across.

Wrong: Multiplying the whole number parts separately.

Right: Always convert to improper fractions first. Do not multiply 2 x 1 and 1/2 x 1/3 separately.

Related

Related tools and guides

How to Multiply Mixed Numbers (full guide)

Learn the full multiplication workflow with examples and shortcuts.

Dividing Mixed Numbers Calculator

Use the matching calculator for Keep-Change-Flip division.

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.