Partitioning Shapes Worksheets

Practice partitioning shapes with equal parts, exact answers and worked examples.

Before you begin

Identify a numerator and denominator and recognize equal-sized parts.

Worked example

The rectangle is divided into 3 equal parts. What fraction of the whole is each part?

Count the equal parts.
Diagram not to scale.
  1. The denominator counts all equal parts.
  2. The numerator counts the parts selected.

Answer: 1/3

Check your result using the method in the example before moving to the next question.

Choose your level

  • Easy: Use halves, thirds and fourths.
  • Medium: Use more equal parts and larger denominators.
  • Hard: Use improper fractions or combine two steps.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
The rectangle is divided into 2 equal parts. What fraction of the whole is each part?
Count the equal parts.
Diagram not to scale.
2
The rectangle is divided into 4 equal parts. What fraction of the whole is each part?
Count the equal parts.
Diagram not to scale.
3
The rectangle is divided into 3 equal parts. What fraction of the whole is each part?
Count the equal parts.
Diagram not to scale.
4
The rectangle is divided into 4 equal parts. What fraction of the whole is each part?
Count the equal parts.
Diagram not to scale.
5
The rectangle is divided into 2 equal parts. What fraction of the whole is each part?
Count the equal parts.
Diagram not to scale.
6
The rectangle is divided into 4 equal parts. What fraction of the whole is each part?
Count the equal parts.
Diagram not to scale.

Answer Key

1. 1/22. 1/43. 1/34. 1/45. 1/26. 1/4

Full worksheet sets