Fractions: Halves, Quarters & Thirds (Year 3)

🔢 Maths Year 3 Foundation

A fraction is a fair share of one whole, like a half or a quarter.

Open this lesson, with practice and a printable worksheet →

A fraction shows a part of one whole thing. If you split a chocolate bar into equal pieces, each piece is a fraction of the bar.

Why this matters: Fractions help us share fairly. Cutting a pizza for friends, giving out sweets, or sharing sadaqah all use fractions.

The top and bottom numbers

Every fraction has two numbers. The bottom number tells you how many equal parts the whole is split into. The top number tells you how many of those parts you have.

In ¾ the bottom is 4 (split into 4 equal parts) and the top is 3 (you have 3 of them).

Common fractions

FractionMeans
½1 out of 2 equal parts
¼1 out of 4 equal parts
1/31 out of 3 equal parts
1/101 out of 10 equal parts

Fractions of numbers

To find a fraction of a number, share it equally. Half of 8 sweets means split 8 into 2 groups: 4 in each. So ½ of 8 = 4.

¼ of 12 buses: split 12 into 4 groups, that is 3 in each. So ¼ of 12 = 3.

Equivalent fractions

Some fractions look different but are worth the same. If you cut a cake in half, then cut each half again, you get quarters. Two of those quarters is the same as one half.

So ½ = 2/4. They are equivalent fractions.

Comparing fractions

If the bottom numbers are the same, the bigger top number is the bigger fraction. So 3/4 is bigger than 1/4. And a half is always bigger than a quarter of the same whole.

Put these fractions in order, smallest first:

  1. ¼
  2. ½
  3. ¾

Drag the slider until it shows exactly three quarters (3 out of 4):

Get the printable worksheet →
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