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
is two parts of a whole divided into three equal parts.
Two-thirds can be separated into two equal parts that are each
of the whole.
So, the sum is the same as .
The fraction
is one part of a whole divided into six equal parts.
Five parts that are each
of the same whole can be combined into one fraction.
So, is the same as .