Fractions are one of those topics that can feel oddly slippery: a child can do loads of addition and subtraction, but then gets stuck the moment we say “one third” or “three quarters”. The good news is that fractions are not about being “good at maths” - they’re about seeing parts, wholes, and equal sharing.
Start With Parts Of A Whole
Fractions feel abstract until children can see them. Start with food, paper, LEGO, or anything you can split.
The key is to keep the language consistent. One simple sentence used again and again beats a long explanation. Try: “A fraction tells us how many parts we have out of the total equal parts.” Then point to the object and show it.
Use One Sentence, Then One Example
Children often stumble because they can say “one half” but they don’t connect it to the idea of equal parts. Make “equal parts” the phrase you repeat. If the parts are not equal, it’s not a fair fraction model yet.
Say: “A fraction tells us how many parts we have out of the total equal parts.” Then show one example.
For example, one half is .
Once that feels comfortable, you can build a bridge to equivalence (different fractions that mean the same amount). Fold paper into 2 parts, then fold the same size paper into 4 parts and shade the same area.
Three Mini Habits That Make Fractions Easier
- Always say the denominator: “out of 8” reminds them what the whole was split into.
- Compare to 1/2: is it smaller or bigger than a half? This builds number sense fast.
- Draw before calculating: a quick sketch prevents silly mistakes when questions get wordy.
A Quick 10-Minute Game
Draw a circle. Split it into 2, 3, 4, 6, and 8 equal slices across different rounds. Ask your child to shade “three eighths” and say it aloud.
To level it up for KS2, swap the circle for a bar model (a rectangle) and ask questions like: “If the whole bar is 24, what is?” Then reverse it: “If one third is 8, what is the whole?” These are exactly the thinking steps that show up in SATs-style word problems.
The goal isn’t speed. It’s confidence. If a child can look at a fraction and explain what it means in plain English, the marks follow naturally.
What Children Need To Know (In Plain English)
A fraction tells us two things. The denominator(bottom number) tells us how many equal parts the whole is split into. The numerator (top number) tells us how many of those parts we have.
If your child mixes those up, don’t try to fix it with definitions. Fix it with repetition and pointing. Use the same sentence every time: “Out of 8 equal parts, we have 3.” That phrase “out of” is the anchor.
Use Three Models (Not Just Circles)
Children often think fractions only live in pizzas and cakes. That’s a great start, but KS2 questions use different representations. Try to practise with three models:
- Shapes / area models: shaded parts of a bar, grid, or circle.
- Sets: “3 out of 10 counters are red.”
- Number line: fractions as numbers between whole numbers.
If you want quick, consistent practice, Mindsharp has fraction tasks that rotate through different models so children don’t get surprised by a new diagram on test day.
Try these:
KS1 fractions practice: identify shaded fractions
KS1 fractions practice: equivalent fractions
Equivalent Fractions (The “Same Amount” Idea)
Equivalent fractions are where many children begin to wobble, because it looks like the fraction is “changing”. The key idea is that the amount stays the same - we’re just splitting the whole into more equal parts.
A simple home demonstration: draw one rectangle, split it into 2 equal parts and shade 1. Draw the same rectangle again, split it into 4 equal parts and shade 2. Point at both shaded areas and say: same amount, different fraction.
Once that clicks, you can introduce the “multiply top and bottom by the same number” idea. For example:
Comparing Fractions Without Panic
A very common mistake is thinking a bigger denominator means a bigger fraction. It’s usually the opposite: if you split the whole into more parts, each part is smaller.
Teach a simple decision tree:
- Same denominator? Bigger numerator wins.
- Same numerator? Smaller denominator wins.
- Neither? Compare to a benchmark (often) or use equivalent fractions.
Fractions Of Amounts (Where Marks Are Won)
A lot of SATs-style questions ask for fractions of amounts, because it tests whether a child understands what a fraction does.
The best method is the unit fraction method:
- Find of the amount by dividing by .
- Multiply that result by the numerator.
Example: find of 24.
First find of 24: 24 ÷ 8 = 3.
Then multiply by 3: 3 × 3 = 9.
If your child jumps straight to multiplying or dividing “randomly”, bring them back to: “What is one part worth?” That’s the skill.
Try KS2 fraction practice here:
KS2 fractions: identify shaded fractions
KS2 fractions: mixed and improper fractions
KS2 fractions: match fractions to decimals
Fractions Greater Than 1
KS2 also includes improper fractions and mixed numbers. A helpful way to explain it is: improper fractions are “more than one whole”. For example, is “seven quarters” - that’s 4 quarters to make 1 whole, and 3 quarters left over.
So:
= 1 and.
Adding And Subtracting Fractions (A Gentle Start)
Many children assume fractions follow the same rules as whole numbers and try to add the denominators too. The key message is: the denominator tells you what the parts are. If the parts are the same size, you can add or subtract the number of parts.
With the same denominator:
With different denominators, you first make the parts the same size by finding an equivalent fraction (common denominator). KS2 often starts with friendly pairs like 3 and 6, or 4 and 8. Keep it visual at home (bars, folding, grids) so it feels like “same-sized parts”, not a rule to memorise.
Fractions, Decimals, Percentages (The Bridge)
In Upper KS2, children connect fractions to decimals and percentages. Some are worth learning because they come up constantly:
- = 0.5 = 50%
- = 0.25 = 25%
- = 0.75 = 75%
- = 0.1 = 10%
This is where your “benchmark” habit pays off. If a child knows that 0.5 is a half, they can quickly judge whether 0.6 is bigger or smaller before doing any calculation.
Common Mistakes (And Fast Fixes)
- Unequal parts: if the parts aren’t equal, it’s not a valid fraction model yet.
- Denominator confusion: always say “out of ___ equal parts”.
- Adding denominators: remind them the denominator is the type of part, not the number of parts.
- Word problems: ask “What is one part worth?” first.
If you want a single “hub” link for fraction practice, use:
Fractions practice on Mindsharp
A Calm Weekly Plan (10 Minutes A Day)
If fractions have become stressful, reduce the goal. Don’t aim to “finish the topic”. Aim for one small win a day:
- Mon: shaded fractions (shapes)
- Tue: fractions of amounts (unit fraction method)
- Wed: equivalent fractions (folding or bar models)
- Thu: compare/order fractions (benchmarks)
- Fri: one word problem (explain the “why”)
For the word-problem side, this is a good KS1 starting point:
KS1 fractions: solve word problems involving fractions
Fractions become much easier when a child can explain them. Ask for a short sentence: “What does this fraction mean?” Evidence of understanding beats ten rushed questions.