Answer:
![\text{The reduced fraction is } (2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hkkfa6g7iiqvz22jb0ex901460yf46ap0f.png)
Explanation:
Fraction Reduction
To reduce a fraction, we try to divide both the numerator and denominator by the very same number until no more numbers can be found.
The fraction to reduce is:
![\displaystyle (54)/(81)](https://img.qammunity.org/2021/formulas/mathematics/high-school/t2z3g4uxoo02budxurif5bo1o5b0b8gk0v.png)
Since the denominator is odd, we cannot divide by 2, but we can divide by 3:
![\displaystyle (54)/(81)=(18)/(27)](https://img.qammunity.org/2021/formulas/mathematics/high-school/gjr5gus363ot3xd34jz0qbkvtwdlgua557.png)
We divide by 3 again:
![\displaystyle (18)/(27)=(6)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pwmii3bbdlg9b6tnnzxdnlli69guios6le.png)
We divide by 3 one last time:
![\displaystyle (6)/(9)=(2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ugwxf33abp3z3j128ljeimreb3o6u7g51j.png)
![\text{The reduced fraction is } (2)/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/hkkfa6g7iiqvz22jb0ex901460yf46ap0f.png)