Fractions, Decimals and Percentages: Help Your Child See the Connection

½, 0.5 and 50% are the same amount described three different ways. Nothing about the amount changes — only the language.

Put ½, 0.5 and 50% in front of a child and they can look like three completely unrelated bits of maths, each with its own rules to remember.

They aren't. They're three ways of describing exactly the same amount — and a child who sees that has far less to memorise than one who doesn't.

One chocolate bar, three descriptions

Half a bar of chocolate can be written ½. As a decimal, 0.5. As a percentage, 50%.

The amount of chocolate never changed. Only the way we wrote it down.

Learn three links, not a table

Don't start with a conversion chart. Start with three relationships and make them genuinely solid:

½ = 0.5 = 50%
¼ = 0.25 = 25%
¾ = 0.75 = 75%

Almost everything at this level can be reasoned out from those three. A child who knows them cold can work out 12.5% or 0.2 by thinking; a child with a memorised table can only look things up.

Try this together — 2 minutes

Draw a square. Divide it into four equal parts. Colour one in.

Then ask three questions about the same picture: “what fraction is coloured?” (¼) — “what percentage?” (25%) — “what decimal?” (0.25).

One picture. Three answers. That's the whole lesson, and it takes about ninety seconds.

The mistake children often make

They assume each topic needs a brand-new method, so they learn three sets of procedures and keep them in separate boxes.

The fix is a habit rather than a lesson. Whenever one of the three comes up — in homework, in a shop, on a screen — ask:

“Could we write that another way?”

Ask this to see if they've got it

“Which is bigger — 0.5 or 40%?”

It looks like a trick question and it isn't. It's just asking whether they can move between the two forms.

If they're stuck, prompt once: “what's 0.5 as a percentage?” Once it's 50% versus 40%, the comparison is obvious — and that is the skill.

Practise it