Filling a fraction to 1

You learn which fraction you need to add to make exactly 1 whole.

How to work it out

  1. A whole has the same number above and below the line: 1 is 88.
  2. Look how many parts you already have, and take that away from the denominator.
35

A worked example

38 + ? = 1

  1. One whole is 8 eighths: 1 = 88.
  2. You already have 3 eighths.
  3. Take the numerator away from the denominator: 8 − 3 = 5.
  4. You need 58 to make 1.
More examples

25 + ? = 1

  1. One whole is 55.
  2. Take 2 away from 5: 5 − 2 = 3.
  3. You need 35.

710 + ? = 1

  1. One whole is 1010.
  2. Take 7 away from 10: 10 − 7 = 3.
  3. You need 310.

Watch out

  • You add the denominators together instead of just the numerators.

    The denominator stays the same: 3 eighths plus 5 eighths is 8 eighths, not 8 sixteenths.

Tips

  • Look at the denominator: that is the number of slices in 1 whole.
  • Take the numerator away from the denominator to find how many slices are missing.

Why it works

A whole cake split into 8 slices is 88. If you have 3 slices, you need 5 more to make the whole cake. So you count on from the numerator to the denominator.