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

Fractions: The Complete Guide for Ages 9–11

Everything your child needs to master fractions — 13 short visual lessons, from ‘what is a fraction?’ to percentages. Each lesson takes about 3 minutes, uses pizza-and-chocolate models children actually understand, and comes with a printable cheat sheet.

🍕 Why fractions matter

Fractions are the foundation for decimals, percentages, ratio and algebra. They're also the topic children most often lose confidence in — which is why every lesson here starts with a picture, not a rule.

🏫 What children learn in Years 4–6

Equivalent fractions and simplifying (Y4–5), comparing, ordering, adding and subtracting with different denominators (Y5–6), multiplying and dividing fractions, mixed numbers, fractions of amounts, and percentages (Y5–6).

🎯 Built for 11+ preparation

Every lesson highlights the exact mistakes examiners see most, in a ‘Watch Out!’ section. Two stretch topics go slightly beyond the Year 6 curriculum — just like the 11+ does.

The learning path

Work through the lessons in order — each one builds on the last.

1
What Are Fractions?
Learn what fractions are with simple pizza and chocolate examples.
2
Equivalent Fractions
Equivalent fractions made simple: why 1/2 = 2/4 = 4/8.
3
Simplifying Fractions
How to simplify fractions step by step: find the biggest common factor and divide.
4
Comparing Fractions
Teach your child to compare fractions: same denominators, equivalent fractions and common mistakes.
5
Ordering Fractions
How to order fractions from smallest to largest using equivalent fractions.
6
Adding Fractions (Same Denominator)
Adding fractions with the same denominator: add the tops, keep the bottom.
7
Adding Fractions (Different Denominator)
How to add fractions with different denominators: find a common denominator, make equivalents, add the tops.
8
Subtracting Fractions (Same Denominator)
Subtracting fractions with the same denominator: subtract the tops, keep the bottom.
9
Multiplying Fractions
How to multiply fractions: multiply the tops, multiply the bottoms, then simplify.
10
Dividing Fractions
Dividing fractions made easy with Keep, Flip, Multiply.
11
Mixed Numbers
Convert between mixed numbers and improper fractions both ways, step by step.
12
Fraction of an Amount
How to find a fraction of an amount: divide by the denominator, multiply by the numerator.
13
Percentage
Percent means out of 100.

Printable cheat sheets

One-page summaries of every method — print them and keep them by your child's desk.

📄 What Are Fractions?Printable cheat sheet (PDF)📄 Equivalent FractionsPrintable cheat sheet (PDF)📄 Simplifying FractionsPrintable cheat sheet (PDF)📄 Comparing FractionsPrintable cheat sheet (PDF)📄 Ordering FractionsPrintable cheat sheet (PDF)📄 Adding Fractions (Same Denominator)Printable cheat sheet (PDF)📄 Adding Fractions (Different Denominator)Printable cheat sheet (PDF)📄 Subtracting Fractions (Same Denominator)Printable cheat sheet (PDF)📄 Multiplying FractionsPrintable cheat sheet (PDF)📄 Dividing FractionsPrintable cheat sheet (PDF)📄 Mixed NumbersPrintable cheat sheet (PDF)📄 Fraction of an AmountPrintable cheat sheet (PDF)📄 PercentagePrintable cheat sheet (PDF)

Related topics

🔢 Decimals — 14 lessons 💯 Percentages — 12 lessons ⚖️ Ratio & Proportion — 10 lessons 📏 Measurement — 18 lessons 📐 Geometry — 20 lessons 📊 Statistics — 10 lessons 🔤 Algebra — 12 lessons

Frequently asked questions

What order should my child learn fractions in?

Follow the numbered learning path on this page — it moves from understanding what a fraction is, through equivalent fractions and simplifying, to calculating with fractions and finally percentages. Each lesson builds on the one before.

What ages are these fraction lessons for?

The lessons are written for children aged 9–11 (Years 5–6 in England) and are ideal for 11+ exam preparation. Younger confident learners and older children revising the basics will also find them useful.

Are these lessons free?

Yes — every lesson, worked example and printable cheat sheet on this page is completely free. The MindBlaze app adds daily practice, games and rewards if your child wants more.

Do the lessons match the school curriculum?

Yes. The content follows the England national curriculum for Key Stage 2 maths, with two clearly-marked stretch topics (dividing fractions by fractions, and percentage problems) that go slightly beyond — exactly the stretch 11+ exams expect.

How should we use these lessons at home?

Little and often beats marathon sessions: one 3-minute lesson, then a few practice questions. If your child gets stuck, ask ‘which step do you understand so far?’ rather than giving the answer.

What are the most common fraction mistakes?

Adding denominators (1/2 + 1/3 = 2/5), thinking a bigger denominator means a bigger fraction, and forgetting to simplify answers. Every lesson has a ‘Watch Out!’ section covering the mistakes examiners see most.

🛡️ Curriculum aligned⭐ Builds confidence💜 Made for 9–13 year olds
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