To find out how far Alanah walks to her friend's house, we first need to calculate how far she walks to school.
If she walks east for ninths of a mile to school every morning, then on Saturday, she walks the same distance to school, which is \(\frac{1}{9}\) of a mile.
To her friend's house, which is 1/3 mile further than her school, she walks an additional \(\frac{1}{3}\) mile.
So, the total distance she walks to her friend's house is:
\(\frac{1}{9} + \frac{1}{3} = \frac{1}{9} + \frac{3}{9} = \frac{4}{9}\) mile.
Therefore, Alanah walks \(\frac{4}{9}\) mile to her friend's house.