Fractions of shapes worksheets

A fraction is easiest to meet as a picture: a shape cut into equal parts with some of them shaded. These free printable worksheets show a circle, a bar, or a many-sided shape divided into equal pieces and ask a child to write the fraction that is colored in.

Fractions of shapes
Fractions of shapes worksheet — Halves to twelfths, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

Every shape is split into equal parts, because that is the whole idea of a fraction: the bottom number counts how many equal pieces the whole was cut into, and the top number counts how many are shaded. A child reads it straight off the picture — count the shaded parts for the numerator, count all the parts for the denominator. Three shapes keep it fresh: a pie-cut circle, a bar of equal strips, and a regular polygon whose sides match its parts, so a triangle shows thirds and a hexagon shows sixths.

Why this sheet works

The answer is left exactly as the picture shows it and is never simplified — two of six shaded is written two sixths, not one third — because the point here is counting parts, not reducing them. Simplifying comes later, once naming a fraction is automatic, and keeping the fraction unreduced means the picture and the answer always agree part for part.

How this one works

One question from this sheet, worked through a step at a time.

Name the fraction

pieces in all:6
shaded:4
not shaded:2← not the bottom number
pieces in all:6
shaded:4
  1. Count the BOTTOM number first, and count every piece — shaded and unshaded together. It is how many the whole was cut into: 6.
  2. Only now count the shaded ones: 4. The number NOT shaded (2) is also sitting there in the picture, and writing that underneath is the usual mistake.
  3. Shaded over total: 4/6.