Half of 6
6 shared into 2 equal groups gives 3 in each group.
6 shared into 2 equal groups
Half means one of two equal parts.
Year 2
Write simple fractions such as of 6 = 3 and recognise the equivalence of and
Write simple fraction statements and recognise that two quarters is the same amount as one half.
Lesson overview
Number - fractions
Equivalent fractions name the same amount. Two quarters and one half cover the same part of a whole when the parts are equal. We can also write simple fraction statements such as of 6 = 3 by finding half of a quantity.
Two quarters and one half
and can cover the same amount.
one of two equal parts
two of four equal parts
The names are different, but the amount is the same.
A fraction sentence
We can write a fraction fact as a number sentence.
Write the fraction, the whole amount, and the part you found.
Worked example
Show that is the same as , then find of 8.
- Look at the whole split into 4 equal parts.
- Two of the four parts make half of the whole.
- So is equivalent to .
- Now share 8 into 2 equal groups.
- Each half is 4, so of 8 = 4.
Try it
Use the fraction relationship or number sentence to choose or write the answer.
Question 1
Which fraction is equivalent to ?
Question 2
Complete the sentence: of 10 = __
Question 3
Which statement is correct?
Question 4
What is of 6?
Question 5
Why are and equivalent?
Common mistakes
Watch for these when working through the lesson.
- Thinking equivalent fractions must look the same to mean the same amount.
- Forgetting to split the whole into equal parts before finding half.
- Writing a fraction sentence without checking the answer.
Related topics
These ideas fit closely with this lesson.
- Recognise, find, name and write fractions , , and of a length, shape, set of objects or quantity.
- Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication, division and equals signs.