Answer:
Hence the simplification of [tex]\dfrac{66}{81}[/tex] is [tex]\dfrac{22}{27}[/tex]
Step-by-step explanation:
" Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter),
for example: Simplification of a fraction to an irreducible fraction ".
Here we are given a fraction as:
[tex]\dfrac{66}{81}[/tex]
As both the numerator and denominator are divisible by a factor of 3 hence we take out the common factor and obtain the reduced fraction which is further irreducible.
As 66=3×22 and 81=3×27
Hence [tex]\dfrac{66}{81}=\dfrac{3\times22}{3\times27}=\dfrac{22}{27}[/tex]
Hence the simplification of [tex]\dfrac{66}{81}[/tex] is [tex]\dfrac{22}{27}[/tex]