How to Divide Mixed Numbers — Step-by-Step Guide
Dividing mixed numbers uses the reciprocal method — flip the second fraction and multiply. Once you understand this trick, dividing mixed fractions becomes straightforward. This guide explains the full process with examples.
In this article
How to divide mixed numbers
Convert both to improper fractions
Multiply whole × denominator, add numerator. Example: 4¾ = 19/4 and 1½ = 3/2
Flip the second fraction
Take the reciprocal of the second fraction — numerator and denominator swap. 3/2 → 2/3
Multiply the two fractions
Multiply numerators together and denominators together: 19/4 × 2/3 = 38/12
Simplify and convert back
Simplify 38/12 = 19/6, then convert: 19 ÷ 6 = 3 remainder 1 → 3⅙
Worked example
Step 1 — Convert: 4¾ = 19/4 and 1½ = 3/2
Step 2 — Flip second: 3/2 → 2/3
Step 3 — Multiply: 19/4 × 2/3 = 38/12
Step 4 — Simplify and convert: 38/12 = 19/6 → 3⅙
Check your answer instantly
Use our free mixed number calculator — select Divide for full step-by-step working.
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Common mistakes
- Flipping the wrong fraction — always flip the second fraction (the divisor), never the first.
- Forgetting to convert first — always convert to improper fractions before applying the reciprocal method.
- Not simplifying before multiplying — you can cross-cancel common factors to keep numbers smaller.
- Forgetting to simplify the final answer — always reduce to lowest terms.
Use the calculator
Our mixed number calculator handles all division automatically. Select Divide, enter your mixed numbers, and click Calculate for the full working.