Answer:
[tex]\frac{1}{6}[/tex] part of the original pot will be served the next day lunch.
Step-by-step explanation:
Let us assume that x is the whole pot of chili.
Now, Sarah's mom has [tex]\frac{1}{2}[/tex] of a pot of chili leftover after dinner.
Therefore, she has [tex]\frac{x}{2}[/tex] part of the whole pot left.
Again she wants to divide into three equal parts for servings for lunch the next day.
Therefore, in each servings there will be [tex]\frac{x}{2 \times 3} = \frac{x}{6}[/tex] part of whole pot.
Therefore, [tex]\frac{1}{6}[/tex] part of the original pot will be served the next day lunch. (Answer)