Step-by-step explanation:
An Egyptian fraction may be defined as a finite sum of some distinct unit fractions. Some example of the Egyptian fractions are
[tex]$\frac{1}{3}+\frac{1}{5}+\frac{1}{9}$[/tex] ,
[tex]$\frac{1}{4}+\frac{1}{6}+\frac{1}{13}$[/tex]
In this type of fractions, there is always a numerator in in the form of 1 and a denominator as a positive integer.
So every fraction can be written as sum of the fraction in Egyptian fraction form.
a). The given fraction [tex]$\frac{9}{20}$[/tex] cab be written in the form of Egyptian fraction form as the sum of
[tex]$\Rightarrow \frac{1}{4} + \frac{1}{5}$[/tex]
[tex]$\Rightarrow \frac{5}{20} + \frac{4}{20}$[/tex]
[tex]$\Rightarrow \frac{9}{20} $[/tex]
