We have to represent the fraction [tex]\frac{6}{9}[/tex] in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore, [tex]\frac{6}{9} = \frac{6 \times 2}{9 \times 2} = \frac{12}{18}[/tex]
Therefore, [tex]\frac{12}{18}[/tex] is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore, [tex]\frac{6}{9} = \frac{6 \times 3}{9 \times 3} = \frac{18}{27}[/tex]
Therefore, [tex]\frac{18}{27}[/tex] is the second way to represent the given fraction.
Therefore, [tex]\frac{12}{18}[/tex] and [tex]\frac{18}{27}[/tex] are the different ways to represent the fraction [tex]\frac{6}{9}[/tex].