Free printable fraction chart

Grades 3–6A fraction wall from one whole down to twelfths, with the vocabulary, equivalent fractions and how the same amount can wear a dozen different names. Print it for the wall, or use the live one below to see which fractions really are equal.

Fractions math chart for kids Tap the chart to open it at full size

Interactive fraction wall, halves to twelfths

Every row below is one whole, cut into a different number of equal pieces. That is the entire idea behind fractions, and seeing all the rows stacked to the same width is what makes it land.

Tap any piece and everything up to it lights up. Then look down the wall: every row whose highlighted section ends at exactly the same place is an equivalent fraction, and it will be listed underneath. Tap the third piece of the sixths row and you will see 1/2, 2/4, 3/6, 4/8, 5/10 and 6/12 all stop at the same edge.

That is worth doing a few times before anything else. Equivalent fractions are usually taught as a rule about multiplying the top and bottom by the same number, and children who only have the rule cannot tell you why 1/2 and 6/12 are the same amount. The wall shows them.

Rows

You selected
Tap any piece to begin
Equivalent fractions
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Tap a piece to select everything up to it, then look down the wall for the rows that line up exactly.

How to use this fractions chart at home

Start with the wall and a question, not a rule. Ask which is bigger, 2/3 or 3/5, and let them find both on the wall before anyone reaches for a common denominator. The arithmetic method is worth learning, but it should arrive as a faster way of answering a question they can already answer.

Say the fraction the long way round for a while. Not "three quarters" but "the whole was cut into four and I have three." It sounds laborious and it fixes an enormous amount, because most fraction errors come from treating the two numbers as independent rather than as a description of one action.

Come back to the wall whenever an answer looks wrong. If a child adds 1/2 and 1/3 and gets 2/5, do not correct the arithmetic. Ask them to find 2/5 on the wall and check it against a half. It is smaller than what they started with, which is visibly impossible, and they will see it themselves.

Why fractions break children who were fine at arithmetic

Up to this point, every rule they have learned has held. Bigger numbers meant bigger amounts. Multiplying made things larger. Adding meant putting the numbers together. Fractions break all three at once, and children who were confident often stall hard.

The bottom number works backwards: 1/8 is smaller than 1/3, even though 8 is bigger than 3. Multiplying by a fraction makes numbers smaller. And you cannot add 1/2 and 1/3 by adding the tops and the bottoms, even though that is exactly what every previous rule would suggest.

None of this is a sign that a child is bad at fractions. It is a sign that the rules changed and nobody said so out loud. Saying it out loud helps more than another worksheet does.

Proper, improper and mixed

A proper fraction is smaller than one whole: the top is less than the bottom, like 3/4. Everything on the wall above is built from these.

An improper fraction is one whole or more, with a top bigger than the bottom, like 7/4. It is not wrong or badly written, whatever the name suggests — it is just more than one whole, and it is often the easier form to calculate with.

A mixed number writes the same thing as a whole and a part: 7/4 is 1 3/4. It is easier to picture and harder to multiply, which is why children learn to convert between the two forms and why so much of Grade 5 is spent doing it.

Where fractions usually go wrong

Adding the bottoms. 1/2 + 1/3 = 2/5. This is the classic, and it is a reasonable guess from everything they knew before. The wall is the fastest cure, because 2/5 is visibly less than the 1/2 they started with.

Reading the denominator as a size. Believing 1/8 is bigger than 1/3 because 8 is bigger than 3. Cutting the same cake into eight rather than three is the argument that lands.

Forgetting the pieces must be equal. A shape divided into four unequal parts does not have quarters in it. Children rarely say this out loud, but it shows up when they shade a diagram and cannot say why the answer is wrong.

Simplifying halfway and stopping. Taking 8/12 to 4/6 and leaving it there, because 2 divided out once and they stopped looking. Checking whether anything still divides into both, every time, is the habit that fixes it.

After the chart goes up

A chart explains the idea but gives a child nothing to do. These do the rest.

Everything at this level: Grade 3 math · Grade 4 math · Grade 5 math · Grade 6 math

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Questions parents ask

What do the top and bottom of a fraction mean?

The bottom number, the denominator, says how many equal pieces the whole was cut into. The top number, the numerator, says how many of those pieces you have. In 3/4 the whole was cut into four and you have three of them. Reading it in that order — bottom first, then top — is the habit worth building, because it matches how the wall above is drawn.

What are equivalent fractions?

Different names for the same amount. 1/2, 2/4, 3/6 and 6/12 are all the same length on the wall above, so they are all worth the same. The usual rule is to multiply or divide the top and bottom by the same number, but the rule is a shortcut for something you can simply see.

How do you compare two fractions?

If the denominators match, the one with the bigger numerator is bigger. If the numerators match, the one with the smaller denominator is bigger — fewer pieces means bigger pieces, which is the part children find counter-intuitive. Otherwise, find a common denominator, or just look them up on the wall above and see which reaches further.

Why is 1/3 bigger than 1/4?

Because cutting a whole into three gives bigger pieces than cutting it into four. The bigger the bottom number, the more pieces, and the smaller each one is. This is the single most common misconception in fractions and it comes from applying whole-number logic, where 4 beats 3.

What grade is this fractions chart for?

Grades 3 to 6. Grade 3 is usually where fractions of a whole are introduced and where the wall does the most work; equivalent fractions and comparing arrive around Grade 4, and adding and simplifying by Grade 5. It stays useful all the way through.

Is this fractions chart free to print?

Yes. Open it full size and print as many copies as you need for home or a classroom, with no account and no watermark. Reselling it or re-hosting the file elsewhere is not allowed — link to this page instead.

How should I print it so the numbers are readable?

Print at 100% scale rather than Fit to page, match the orientation to the chart's shape, and turn off headers and footers. A fraction wall is one worth printing per child rather than only for the wall, because comparing works best with a finger on the paper.