A fraction with a numerator greater than one can be written as the

**sum of unit fractions** with the same denominator as the fraction.

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

$\frac{5}{8}$ is five parts of a whole divided into eight equal parts.

Since the numerator is five, five-eighths can be separated into five equal parts that are each

$\frac{1}{8}$ of the whole.

So, $\frac{5}{8}$ is equal to the sum of five $\frac{1}{8}$'s, or $\frac{1}{8}$ + $\frac{1}{8}$ + $\frac{1}{8}$ + $\frac{1}{8}$ + $\frac{1}{8}$.

The fraction

$\frac{7}{5}$ is seven parts of wholes divided into five equal parts.

Since the numerator is seven, seven-fifths can be separated into seven equal parts that are each

$\frac{1}{5}$ of the whole.

So, $\frac{7}{5}$ is equal to the sum of seven $\frac{1}{5}$'s, or

$\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$ + $\frac{1}{5}$.