Answer: The required simplest mixed number is [tex]2\dfrac{1}{2}.[/tex]
Step-by-step explanation: We are given to write the following fraction as a mixed number in the simplest form :
[tex]f=\dfrac{20}{8}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To convert the given number into simplest mixed fraction, first we need to cancel the common factors of both of them.
We have from expression (i) that
[tex]f\\\\\\=\dfrac{20}{8}\\\\\\=\dfrac{4\times5}{4\times2}\\\\\\=\dfrac{5}{2}\\\\\\=2\dfrac{1}{2}.[/tex]
Thus, the required simplest mixed number is [tex]2\dfrac{1}{2}.[/tex]