Respuesta :

Answer:

[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]

Step-by-step 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:

[tex]\displaystyle \frac{54}{81}[/tex]

Since the denominator is odd, we cannot divide by 2, but we can divide by 3:

[tex]\displaystyle \frac{54}{81}=\frac{18}{27}[/tex]

We divide by 3 again:

[tex]\displaystyle \frac{18}{27}=\frac{6}{9}[/tex]

We divide by 3 one last time:

[tex]\displaystyle \frac{6}{9}=\frac{2}{3}[/tex]

[tex]\text{The reduced fraction is } \frac{2}{3}[/tex]