Fractions on a number line
A fraction is a number. It has one place on the line, the way 7 does. Children taught fractions as slices of a cake do not quite believe that - and it is why 7/4 and comparing 3/8 with 2/5 fall apart in Class 5.
Play the number line game
Pick a line
Drag each fraction to the mark where it belongs. A fraction is a number, so it has one place on the line - the way 7 does.
Why pizzas stop working in Class 5
Why the number line, and not more pizzas
Almost every child meets fractions as parts of a shape - half a chapati, a quarter of a cake. It works for about two years and then quietly stops.
It stops because a shape cannot show what a fraction actually is: a number. You cannot put 7/4 on one pizza. You cannot compare 3/8 and 2/5 by picturing two cakes. And you certainly cannot add 1/2 and 1/3 by imagining slices, which is where most children come unstuck in Class 5.
The number line has none of those limits, which is why NCERT and the NCF both push it. Every fraction has exactly one place on it. Bigger means further right, always. Improper fractions are simply the ones past 1, which stops being strange the moment you can see them there.
The tell that a child has only the shape picture is specific: asked whether 3/4 is bigger than 2/3 they go quiet and try to imagine two circles. Asked to put both on a line, they have to commit - and once both are down, nobody needs to be told which is bigger.
The four mistakes, and what fixes each
Fraction errors are unusually consistent. Almost everything a child gets wrong is one of these four.
| What you see | What it means | What fixes it |
|---|---|---|
| Says 1/8 is bigger than 1/4 | Reading the bottom number as a size, so 8 beats 4 | Put both on one line. The bigger denominator lands further left, visibly and every time. |
| Cannot place 7/4 at all | Fractions are still "part of a whole", so more than a whole is nonsense | A line that runs to 2. Once 4/4 is at 1, 7/4 has an obvious home. |
| Does not believe 2/4 is 1/2 | Equivalence was learnt as a rule about multiplying, not as a fact about position | Drop both. Same mark, same number - no rule needed. |
| Adds 1/2 + 1/3 and gets 2/5 | Treating a fraction as two separate numbers rather than one | The line makes the answer's size predictable: it must land past 1/2, which 2/5 does not. |
The first row is worth dwelling on because it is so common and so easily missed. A child who says 1/8 > 1/4 is not being careless - they are applying whole-number logic, which has served them well for four years. The line is the fastest way to show that this one time it does not hold.
How to help while your child plays
You need no more maths than your child has, and the useful questions are the same each time.
- Ask "bigger or smaller than a half?" before every drop. It is the single most useful benchmark in fractions, and it turns a guess into an estimate.
- When a fraction lands on an existing one, stop and name it. "So 3/6 and 1/2 are the same number?" is worth more than any explanation of equivalence you could give.
- Do not correct the denominator mistake with a rule. A child who thinks 1/8 > 1/4 should be asked to place both and look. Being told "the bigger the bottom, the smaller the piece" is a rule to forget by Friday.
- Draw one on paper afterwards. Sixty seconds, a ruler, 0 to 1, mark the quarters. The drawing is what transfers to the exam, where nothing is dragged.
Ten minutes twice a week is plenty. The maths worksheets carry the same topics on paper with answer keys, and Times Tables is the other half of it - fractions get much harder when the tables underneath are slow.
About this game
How do you teach fractions on a number line?
Start with one line from 0 to 1 and the marks already drawn, so the child is placing rather than measuring. Ask for a half first, then quarters, then thirds. The idea to keep repeating is that a fraction is a number with one place on the line - not a piece of something. Once that has landed, improper fractions and equivalence stop needing separate explanations.
Why is my child confused that 1/8 is smaller than 1/4?
Because they are using whole-number logic, which has been right for four years: 8 is bigger than 4. It is not carelessness. The quickest fix is not a rule but a line - put 1/4 and 1/8 on the same one and the eighth is visibly further left, every time, which is a fact rather than something to remember.
What class is this for?
Class 3 upwards. Halves and quarters suit Class 3, thirds and sixths Class 4, and the lines past 1 and with mixed denominators suit Class 5 and 6. Fractions appear in every year from Class 3 to 8, so it is worth returning to rather than doing once.
Why does the game accept 2/4 when it asked for 1/2?
Because they are the same number, and that is the lesson rather than a loophole. Equivalent fractions occupy the same point on the line, so accepting only one of them would be teaching something false. When it happens the game names it, because seeing both land on one mark explains equivalence better than the rule about multiplying top and bottom.
Is a number line better than pizza slices?
For anything past Class 4, yes, and it is not close. A pizza cannot show 7/4, cannot compare 3/8 with 2/5, and gives no help at all with adding unlike fractions. Shapes are a fine first introduction and a poor second one - which is why NCERT moves to the line and why most children who are stuck in Class 5 are still picturing circles.
How does it work on a phone?
A drop snaps to the nearest mark rather than to the exact pixel. On a line marked in twelfths the gap between marks is a few pixels on a phone, so pixel-accuracy would be unplayable - snapping means the child either chose the right mark or a different one, which is also the honest question.
My child can do fraction sums but fails word problems. Why?
Usually because the procedure was learnt without the size. A child who cannot say roughly where 5/8 sits has no way to notice that an answer of 3 is absurd. Estimating against a half, which this game asks for on every drop, is what makes a wrong answer feel wrong.
What should we do after playing?
Draw one. A ruler, a line from 0 to 1, and mark the quarters - sixty seconds. The exam asks for a drawn or read line, never a dragged one, and the drawing is what transfers.
Is there a timer?
No, deliberately. The whole activity is deciding where a number sits, and a clock would convert that into fast guessing - which is the habit this is meant to replace.
Is it free?
Yes, with no account, no email and no sign-up. Nothing your child does leaves the browser.
How do you play the number line game?
- 1
Pick a line
Halves and quarters to start, or a line that runs to 2 for improper fractions. Each names the class it suits.
- 2
Pick up a fraction and drop it on its mark
Ask 'bigger or smaller than a half?' before letting go - it is the most useful benchmark in fractions.
- 3
A wrong drop tells you where you landed
It names the mark you actually hit and says whether your fraction is further left or right, so the next try is a correction rather than a guess.
- 4
Watch for two landing on one mark
When 2/4 lands on 1/2 the game says so. That is equivalence, seen rather than explained.
What it actually practises
- Fractions as numbers with a position, which is what makes them comparable
- Equivalent fractions, seen as one point rather than learnt as a rule
- Improper fractions - the ones past 1 that a shape cannot show
- Estimating against a half, which is how a wrong answer starts to feel wrong
When not to use it: It builds the picture, not the procedure. A child who needs to add or divide fractions still has to learn how - this makes sure they can tell whether the answer they got is a sensible size.
Practise the same thing elsewhere
- Maths worksheetsFractions on paper, with answer keys
- Times tablesFractions get hard when the tables underneath are slow
- Class 5 maths tuitionWhere fractions and decimals meet
Fractions are where primary maths quietly goes wrong.
Almost every Class 6 child who is behind in maths is behind at fractions. It is fixable, and the first class is free with no card.
- You tell us the class, board and what is going wrong.
- We match a teacher who has taught exactly that, and send you a time.
- A free 20-minute assessment. Sit beside your child if you like.
- No card, no commitment
- Live classes, never a crowd
- The same teacher every week