# Divide a paper into equal parts

A piece of paper can easily be divided into equal parts. As for 2, 4, or 8 parts, this is very straightforward. But you can also divide a paper into 3, 5, 6, or 7 parts without using a ruler. It is also quite simple to prove the correctness of the resulting partition:

The intersection of *f* and *g* can be calculated by solving
the equation *f(x) = g(x) ⟷ 2x = -x + ½ ⟷ x = ⅙*

## Folding instructions

## Divide a paper into fifths and sevenths

To divide a paper into seven rectangles of equal size, the paper is divided into thirds first.