How to Multiply Mixed Numbers

You cannot multiply mixed numbers directly. Convert each to an improper fraction, multiply the numerators and denominators straight across, then simplify and convert back to a mixed number.

Step by step

1. 1
   Convert to improper fractions
   2 1/2 becomes 5/2, and 1 1/3 becomes 4/3.
2. 2
   Multiply straight across
   Multiply numerators and denominators: 5 x 4 = 20, and 2 x 3 = 6, giving 20/6.
3. 3
   Simplify
   20/6 simplifies to 10/3.
4. 4
   Convert back to a mixed number
   10/3 is 3 1/3.

Worked example

Multiply 2 1/2 x 1 1/3. Convert: 5/2 x 4/3 = 20/6 = 10/3 = 3 1/3.

Common mistakes to avoid

• Multiplying the whole numbers and fractions separately (this does not work).
• Forgetting to convert to improper fractions first.
• Not simplifying or converting the answer back to a mixed number.

Practice this skill

Try it yourself on the Multiply Fractions Calculator, generate a printable worksheet, or work through it one step at a time in guided practice.