Fractions in the UK Curriculum

Fractions are the single most important — and most difficult — strand of UK primary maths. Research across multiple countries shows that fraction fluency at age 10 is the strongest predictor of algebra success at age 14. Every UK primary year from Year 3 onwards includes significant fraction work.

Our full library of free printable fractions worksheets covers every year of KS2:

All are free, printable, and come with full answer keys.

Year 3 Fractions

Year 3 introduces fractions formally. Pupils learn to:

Recognise and name tenths
Find equivalent fractions of simple denominators (like 1/2 = 2/4)
Add and subtract fractions with the same denominator
Compare and order fractions with the same denominator

The focus is conceptual. What does 3/4 mean? Why is 2/4 the same as 1/2? Use visual models — fraction bars, pie slices, shaded shapes — to make the ideas concrete before drilling operations.

Year 4 Fractions

Year 4 extends fraction work to include:

Recognising hundredths
Finding equivalent fractions (including with larger denominators)
Adding and subtracting fractions with the same denominator (more complex numbers)
Fractions of amounts (e.g., 3/4 of 20)
Decimal equivalents of fractions (1/2 = 0.5, 1/4 = 0.25)

The key new skill is fractions of amounts. Teach the method: to find 3/4 of 20, first find 1/4 (divide by 4 = 5), then multiply by 3 (= 15). This becomes the foundation for percentage work in Year 5.

Year 5 Fractions

Year 5 is where fractions get serious. Pupils learn to:

Add and subtract fractions with different denominators (using common denominators)
Multiply fractions by whole numbers
Convert between improper fractions and mixed numbers
Work with decimal equivalents

Finding common denominators is the big new skill. Before operations, pupils need to understand why common denominators are necessary. Use visual models to show that 1/3 + 1/4 can't just be 2/7 — the pieces aren't the same size until you find a common denominator (1/3 = 4/12, 1/4 = 3/12, sum = 7/12).

The Year 5 fractions worksheet PDF covers all these skills with progressive difficulty.

Year 6 Fractions

Year 6 consolidates and extends everything from earlier years. Pupils add, subtract, multiply and divide fractions with different denominators, including mixed numbers. They also solve multi-step fraction problems — the kind that appear on KS2 SATs reasoning papers.

The Year 6 fractions worksheet PDF includes problems at SATs level, with answer keys so you can check work quickly.

By the end of Year 6, pupils should be able to:

Add and subtract fractions with any denominators
Multiply fractions, including mixed numbers
Divide fractions (using the "flip and multiply" method)
Convert between fractions, decimals and percentages fluently
Solve multi-step word problems involving fractions

The Most Common Mistakes

Across Years 3 to 6, these mistakes come up over and over:

Adding denominators: 1/4 + 1/4 = 2/8 (it should be 2/4, which simplifies to 1/2)
Not finding a common denominator: 1/2 + 1/3 = 2/5 (wrong — should be 5/6)
Forgetting to simplify: Leaving 4/8 instead of 1/2
Multiplying when you should be adding: Mixing up procedures
Ignoring what the fraction actually represents

Each is fixable with targeted practice. Print a worksheet, watch which problems go wrong, and focus the next session on that specific error.

Tips for Teaching Fractions at Home

Use visual models. Fraction bars and pie charts aren't training wheels — they're the concept.
Connect to money. 25p is 1/4 of a pound. Kids who handle money have a head start.
Connect to cooking. Half a cup, a quarter teaspoon — real-world fractions everywhere.
Be patient with misconceptions. The idea that 1/4 is smaller than 1/2 (even though 4 > 2) takes time to accept.
Keep practice short. Fifteen minutes a day beats an hour on Saturday.

How to Use These Worksheets

Pick the year level that matches your child. Start with a short warm-up on something they already know, then move to the focused practice. Review mistakes together at the end — that's where the real learning happens.

A typical week might rotate:

Monday: finding fractions of amounts
Wednesday: adding/subtracting with common denominators
Friday: mixed review

Short, focused, consistent — that's the formula.

Free, Printable, With Answer Keys

All our fractions worksheets are free to download, printable on any printer, and include answer keys. No login required.

Fractions are hard. They take time. But steady practice, with the right worksheets at the right level, turns confusion into confidence within a few months.

Fractions Worksheets for UK Curriculum (Years 3-6)