Fractions of a whole: printable worksheets

Name, shade, partition and build fractions as equal parts of one whole, with bars, circles, sets and grids.

Sample worksheet

The first 6 problems of a real worksheet, made the way the builder makes it. Open it in the builder to change the number of problems, the difficulty and the layout, then print.

What fraction of the bar is shaded?

Shade

\frac{1}{8}

of the bar.

What fraction of the circle is shaded?

Shade

\frac{1}{4}

of the circle.

What fraction of the set is circled?

Circle

\frac{1}{2}

of the set.

Show answers

\frac{1}{8}

one eighth

\frac{1}{8}

one eighth

\frac{1}{2}

one half

\frac{1}{4}

one fourth

\frac{2}{4}

two fourths

\frac{1}{2}

one half

What students practise

I can describe shapes by their sides and corners and split a shape into equal shares.

Students tell the defining attributes of shapes, put shapes together, and partition circles and rectangles into equal shares named with the words halves, thirds and fourths.

Key words

half: one of two equal shares
third: one of three equal shares
fourth (quarter): one of four equal shares
equal shares: parts that are exactly the same size
side: a straight edge of a flat shape
vertex: the point where two sides meet

Common mistakes

Counts the parts without checking that they are the same size.
Thinks more parts means a bigger share.

Standards

Common Core State Standards this worksheet practises.

3.NF.A.1: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b. (unverified)

Before this: Shapes, arrays and equal shares (Grade 2)
Next: Fractions on a number line (Grade 3)