How to Divide Mixed Numbers

To divide mixed numbers, first convert each to an improper fraction. Then divide as you would any fractions: keep the first, change division to multiplication, and flip the second.

Step by step

1. 1
   Convert to improper fractions
   2 1/2 becomes 5/2, and 1 1/4 becomes 5/4.
2. 2
   Keep, change, flip
   Keep 5/2, change ÷ to x, and flip 5/4 to 4/5.
3. 3
   Multiply straight across
   5/2 x 4/5 = 20/10.
4. 4
   Simplify and convert back
   20/10 = 2.

Worked example

Divide 2 1/2 ÷ 1 1/4. Convert: 5/2 ÷ 5/4. Keep-change-flip: 5/2 x 4/5 = 20/10 = 2.

Common mistakes to avoid

• Flipping the first fraction instead of the second.
• Forgetting to convert mixed numbers to improper fractions first.
• Not simplifying the final answer.

Practice this skill

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