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Converting Improper Fractions to Mixed Numbers

11+ Maths, topic 2.2.3

Converting Improper Fractions to Mixed Numbers

You can convert improper fractions to mixed numbers. Look at this example, using the improper fraction 5⁄4.

Look at the denominator

Look at the denominator

  • Look at the denominator (the bottom number). This number will stay the same.
  • So the improper fraction will have a denominator of 4.
Step 2

Step 2

  • Calculate how many times the denominator ‘goes into’ the numerator.
  • 4 goes into 5 once.
    • This gives us our whole number 1.
Work out the remainder

Work out the remainder

  • Calculate the remainder.
  • 4 goes into 5 once with a remainder of 1.
  • Use the remainder as the numerator of the new fraction.
  • The numerator of the fraction will be 1.
5⁄4 11⁄4

5⁄4 = 11⁄4

  • The improper fraction 5⁄4 is 11⁄4 as a mixed number.

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