How to Convert Improper Fractions to Mixed Numbers

An improper fraction has a numerator larger than its denominator. You can rewrite it as a mixed number — a whole number plus a proper fraction — by dividing.

Step by step

1. 1
   Divide the numerator by the denominator
   For 7/3, divide 7 by 3: it goes in 2 times with a remainder of 1.
2. 2
   The quotient is the whole number
   2 becomes the whole-number part.
3. 3
   The remainder is the new numerator
   The remainder 1 goes over the original denominator: 1/3.
4. 4
   Write the mixed number
   Combine them: 7/3 = 2 1/3.

Worked example

Convert 7/3 to a mixed number. 7 ÷ 3 = 2 remainder 1. The whole number is 2, the remainder 1 stays over 3, giving 2 1/3.

Common mistakes to avoid

• Putting the remainder over the wrong number (it stays over the original denominator).
• Forgetting to simplify the fractional part.
• Mixing up the quotient and the remainder.

Practice this skill

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