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].
