Answer:
[tex]\frac{1}{2}[/tex] of the pie.
Step-by-step explanation:
We have been given that Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it and gave leftovers to his friends.
Let us find out pie given to friends by subtracting amount of pie eaten by Christine and her brother from 1 pie, that will be 6/6.
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{1}{3})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{2*1}{2*3})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{2}{6})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-\frac{3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{6-3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{1}{2}[/tex]
Therefore, he gave [tex]\frac{1}{2}[/tex] of the pie to his friends.
