Inspiring to Inspire Maths


Expanding: Fractions 2 (Finding Fractions of a Number)


halves, thirds, quarters

sixths, eights, twelfths

fifths, tenths

Hints and Tips

Our familiarity with the metric system and decimal currency may seem to have made calculations with fractions less important but in many ways, it is more convenient to use common fractions in everyday life.

It is unlikely that we would ask for a 0.5 pint of milk, rather than a half pint.

Also, it is easier to cut material into one third of a metre rather than 0.333!

When writing fractions in symbols, NEVER say over, line or slash.

These words mean nothing in this context and can cause confusion for your child. Use out of or divided by which have meaningBlue Fractions 1

Essential Prior Knowledge

Know finding fractions is splitting the whole into equal parts.


Fractions of a Number-video       Fractions of a Number-poster

Watch the video prior to introducing this activity to your child.

After watching the activity on the video carry out a similar activity with your child.

Do this a number of times to consolidate understanding, using different fractions each time.

Ensure at this point you are only asking your child to find unitary fractions (Those with a numerator of 1)

Ask questions to encourage your child’s mathematical thinking and, if writing the fractions, please write in words as learning the meaning of the symbols is relatively new.

After your child has found the answer to each calculation, you write down the answer, for example,

Use words first then use symbols for the fractions.

 ⅟₄ of 8 = 2   Make sure you write it first to model the process for your child.

After lots of practise, encourage your child to write the answers.

Ask your child how he/she would find two quarters of 8. Discuss this with your child.