Maths
Fractions Worksheets
Free printable fraction practice with proper visual models. Name the fraction from a shaded bar or circle, shade one yourself, compare two fractions, find equivalents, or print the fraction wall as a reference. Answer keys throughout.
Four steps
How to make a fractions worksheet
- 1
Print the fraction wall
It prevents the biggest misconception before it forms.
- 2
Start with naming
Reading a shaded diagram comes before producing one.
- 3
Then shading
Harder, because the child has to make the equal parts.
- 4
Then compare and equivalence
Bars work better than circles for both.
Fractions need a picture
A child who meets fractions only as a pair of numbers learns to move the symbols around without any sense of size. That is why so many can add fractions correctly by rule and still cannot say whether the answer is bigger or smaller than a half. The picture is not a teaching aid to be dropped later; it is the meaning.
Four things worth saying out loud
- The parts must be equal. A shape cut into four pieces is not showing quarters unless all four pieces are the same size. This is the definition, and it is the part most often skipped.
- A bigger denominator means smaller pieces. A third is larger than a quarter, even though three is smaller than four. Cutting a cake into more pieces gives everyone less. This is the single most common fraction misconception.
- The line means divide. Three quarters is three divided by four. That is not an alternative reading of the notation, it is what the notation says, and it explains why fractions and division answers look alike.
- Equivalent fractions are the same amount. One half, two quarters and three sixths all cover the same space. The numbers differ because the pieces are different sizes, not because the amount changed.
Bars against circles
| Model | Best for | Weakness |
|---|---|---|
| Circles | Showing parts of one whole; matches the cake introduction | Two circles cannot be laid against each other to compare |
| Bars | Comparing, equivalence, and the number line later | Less obviously “one thing” to a young child |
Start with circles, move to bars once comparison starts. The bar is also the model that keeps working: it becomes the number line, and then it becomes the way ratios and percentages are drawn.
The equal parts rule
A shape cut into four pieces is not showing quarters unless all four pieces are the same size. This sounds obvious and it is the part most often skipped, including by printed worksheets with hand-drawn diagrams. Every diagram this generator produces divides the shape exactly, because a fraction diagram with unequal parts teaches the wrong thing while looking right.
Related printables
Number bonds and the math worksheet generator cover the arithmetic fractions build on, and 2D shapes covers the geometry that the circle model assumes.
Answers