Converting Mixed Numbers to Improper Fractions

11+ Maths, topic 2.2.2

Converting Mixed Numbers to Improper Fractions

You can convert mixed numbers to improper fractions. Look at this example, using the mixed number 12⁄3.

Step 1

Step 1

  • Look at the denominator (the bottom number). This number will stay the same.
  • So the mixed number will have a denominator of 3.
Step 2

Step 2

  • Look at the whole number. Multiply this number by the denominator.
  • 1 × 3 = 3
Step 3

Step 3

  • Add the number from step 2 to the numerator (the top number).
  • 2 + 3 = 5
    • This number will be the numerator in the improper fraction.
The answer

The answer

  • The mixed number 12⁄3 is 5⁄3 as an improper fraction.

Test yourself on Converting Mixed Numbers to Improper Fractions

  • What is 33⁄5 as an improper fraction?

  • What is 42⁄9 as an improper fraction?

  • What is 51⁄6 as an improper fraction?

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