A fraction with a numerator greater than one

can be written as the **sum of unit fractions**.

A **unit fraction** is a fraction that has 1 as its numerator.

A unit fraction is **one part of a whole divided into equal parts**.

The fraction

$\frac{2}{3}$ is two parts of a whole divided into three equal parts.

Two-thirds can be separated into two equal parts that are each

$\frac{1}{3}$ of the whole.

So, the sum $\frac{1}{3}+\frac{1}{3}$ is the same as $\frac{2}{3}$.

The fraction

$\frac{1}{6}$ is one part of a whole divided into six equal parts.

Five parts that are each

$\frac{1}{6}$ of the same whole can be combined into one fraction.

So, $\frac{5}{6}$ is the same as $\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}$.