How to Multiply Mixed Numbers — Step-by-Step Guide
Multiplying mixed numbers is actually simpler than adding or subtracting — no common denominator needed. Convert, multiply, simplify. This guide shows the complete method with worked examples.
In this article
How to multiply mixed numbers
Convert both to improper fractions
Multiply whole × denominator, add numerator. Example: 3½ = 7/2 and 2⅓ = 7/3
Multiply the numerators
Multiply the top numbers together: 7 × 7 = 49
Multiply the denominators
Multiply the bottom numbers together: 2 × 3 = 6
Simplify and convert back
Simplify 49/6 and convert: 49 ÷ 6 = 8 remainder 1 → 8⅙
Worked example
Step 1 — Convert: 3½ = 7/2 and 2⅓ = 7/3
Step 2 — Multiply numerators: 7 × 7 = 49
Step 3 — Multiply denominators: 2 × 3 = 6 → 49/6
Step 4 — Convert: 49 ÷ 6 = 8 remainder 1 → 8⅙
Check your answer instantly
Use our free mixed number calculator — select Multiply for full step-by-step working.
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Common mistakes
- Not converting first — always convert to improper fractions before multiplying.
- Multiplying wrong parts — multiply numerator × numerator and denominator × denominator only.
- Forgetting to simplify — always reduce the final fraction before converting back.
Use the calculator
Our mixed number calculator handles all multiplication automatically. Select Multiply, enter your values, and click Calculate.