Fractions are the first topic in primary school where a child can understand the idea in a minute and still get every question wrong for a week. That's because fractions live in two places at once: the concrete world of pizzas and chocolate bars, and the abstract world of a small number stacked on top of another. In Class 3, your job as a parent is to keep those two worlds tightly connected. This guide shows you how, step by step.
Start with the words, not the numbers
Before you write a single fraction, spend one sitting on vocabulary. Your child needs to be completely comfortable saying:
- Whole — the full thing before cutting.
- Equal parts — the cuts have to be the same size, otherwise it's not a fraction.
- Half — 1 out of 2 equal parts.
- Third — 1 out of 3 equal parts.
- Quarter — 1 out of 4 equal parts.
Cut a real chapati, roti or paper circle. Ask: "If I cut this into 4 equal parts and eat 1, how much have I eaten?" The answer is one quarter, and hearing themselves say the word is worth ten worksheets.
Then introduce the notation
Only once the words are solid, show the notation. Draw it like this on paper:
- 1/2 — the bottom number (denominator) tells us the whole was cut into 2 equal parts. The top number (numerator) tells us we're talking about 1 of them.
- 1/3 — cut into 3 equal parts, take 1.
- 1/4 — cut into 4 equal parts, take 1.
A useful trick: read the bottom number first. "Bottom is 4, so 4 equal parts. Top is 1, so I'm taking 1 of them." Children who read top-first often confuse themselves.
A worked example
Draw a rectangle. Divide it into 4 equal columns. Shade 3 of them. Ask: "What fraction is shaded?"
- Bottom number: 4 (four equal parts).
- Top number: 3 (three of them are shaded).
- Answer: 3/4.
Now ask the twin question — "What fraction is not shaded?" — and let them see that 3/4 + 1/4 makes the whole. This one exchange plants the seed for Class 4 addition of fractions without you having to teach it.
Common Class 3 mistakes and how to fix them
- Unequal parts. The child draws a circle, splits it into 4 wonky slices, and calls each one "a quarter". Fix: fold the paper before drawing. Folded halves are always equal.
- Confusing 1/3 and 1/4. Bigger bottom number = smaller piece. Do a taste test: one piece of chocolate cut into 4 vs. one cut into 3. Which piece is bigger? The one from 3. So 1/3 > 1/4.
- Reading 2/3 as "two three". Correct to "two thirds" every time. Fractions are one of the few topics where saying it wrong causes lasting confusion.
A 5-day practice plan
You don't need an hour a day. Twenty focused minutes will do.
- Day 1: Fold and cut paper into halves, thirds, quarters. Label each piece.
- Day 2: Colour-shading worksheet — shade the given fraction on a set of shapes.
- Day 3: Word problems — "Anya cut a cake into 4 equal pieces and ate 1. What fraction did she eat?"
- Day 4: Compare fractions — put 1/2, 1/3 and 1/4 in order (biggest to smallest).
- Day 5: Mixed worksheet — combine everything from days 1–4.
Our fractions worksheets are built exactly to this pattern, with answer keys so you can check work in a minute.
What comes next (Class 4)
Once halves, thirds and quarters are automatic, Class 4 introduces equivalent fractions (1/2 = 2/4 = 3/6) and simple addition of like fractions. Everything gets easier if the Class 3 foundation is solid. If you want to peek ahead, browse the Class 4 Mathematics hub — but only after your child can look at 3/4 and instantly say "three out of four equal parts". That single sentence is the whole game.
When to slow down
If your child is guessing rather than reasoning — pointing at random answers, or writing 4/3 for "three out of four" — stop the worksheet, put it away, and go back to paper folding for two days. Fractions are one of those topics where five extra minutes of concrete practice today saves five extra weeks of confusion later.
Related free worksheets
- Fractions worksheets (Class 3) — halves, thirds and quarters with answer keys.
- Class 3 Mathematics hub — full set of Class 3 topics.
- Class 4 Mathematics hub — equivalent fractions and beyond.
- Multiplication worksheets — pairs beautifully with fractions.
- Division worksheets — division and fractions are the same idea in disguise.
If you'd like a full-year plan rather than a five-day one, our holiday homework guide has a week-by-week rhythm for Class 3 maths.