Answer :

To simplify the fraction [tex]\(\frac{63}{81}\)[/tex]:

1. Identify the Greatest Common Divisor (GCD) of 63 and 81:
- The GCD of 63 and 81 is 9. This is the largest number that can divide both 63 and 81 without leaving a remainder.

2. Divide both the numerator and the denominator by the GCD:
- Dividing the numerator (63) by the GCD (9):
[tex]\[ \frac{63}{9} = 7 \][/tex]
- Dividing the denominator (81) by the GCD (9):
[tex]\[ \frac{81}{9} = 9 \][/tex]

3. Rewrite the fraction using the simplified numerator and denominator:
- The simplified form of the fraction [tex]\(\frac{63}{81}\)[/tex] is [tex]\(\frac{7}{9}\)[/tex].

So, the simplified fraction is [tex]\(\frac{7}{9}\)[/tex].