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11+ Maths Guide · Year 5–6 · Free lesson

What Are Fractions?

A fraction shows part of a whole. In this free 3-minute lesson, your child will learn what the top and bottom numbers of a fraction mean, using pizza and chocolate examples they can picture instantly.

What Are Fractions?
A fraction shows part of a whole. The bottom number tells us how many equal parts the whole is split into. The top number tells us how many of those parts we have.

🕐 3 minute read  ·  📊 Builds confidence
A fraction shows part of a whole.
14
One quarter
1 of 4 equal parts
12
One half
1 of 2 equal parts
38
Three eighths
3 of 8 equal parts
1

The Step-by-Step Method

1Look at the Whole

This is the whole object or amount.

2Count the Parts

Count how many equal parts the whole is divided into. That is the bottom number (the denominator).

3Count the Parts You Have

Count how many of those equal parts you have. That is the top number (the numerator).

💡 Key IdeaA fraction is always part of a whole.
Top number = how many parts you have.  Bottom number = how many equal parts in the whole.
2

Worked Example

StepExplanationExampleWhat it means
1Look at the whole.This whole cake is our whole.
2Count the parts.The cake is cut into 4 equal parts. Bottom number = 4
3Count the parts you have.You have 1 piece. Top number = 1
So, the fraction is:  14   One quarter
3

Watch Out! Common Mistakes

Thinking the top number is the total number of parts.
14 ← the 1 means the parts you have

The top number is how many parts you have, not the total. The total parts is the bottom number.

Bigger top number (same bottom) = bigger fraction.
14 < 34

34 is bigger than 14 because more parts are shaded — 3 out of 4 instead of 1 out of 4.

Not making the parts equal.
✕ Not equal   ✓ Equal parts

The parts must all be the same size. Unequal pieces are not fractions of the whole.

📄 Free printable: Download the What Are Fractions? cheat sheet (PDF) — keep it by your child's desk.

Quick summary

Frequently asked questions

What is a fraction in simple words?

A fraction is a way of describing part of a whole. If a pizza is cut into 4 equal slices and you take 1 slice, you have 1/4 (one quarter) of the pizza.

What do the top and bottom numbers of a fraction mean?

The bottom number (the denominator) tells you how many equal parts the whole is divided into. The top number (the numerator) tells you how many of those parts you have.

When do children learn fractions at school?

In England, children meet halves and quarters in Years 1–2, learn the words numerator and denominator around Year 3, and work with equivalent fractions, comparing and calculating with fractions through Years 4–6.

What mistakes do children commonly make with fractions?

The most common mistakes are thinking the top number is the total number of parts, and forgetting that the parts must be equal in size. Visual models like pizzas and bars help fix both.

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