Question

Christine baked a pumpkin pie she ate 1/6of the pie. Her brother ate 1/3 of it and gave leftovers to his friends. What fraction of the pie did he give to his friends

Answer 1

`(1)/(2)` 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.

`\text{The pie given to friends}=(6)/(6)-((1)/(6)+(1)/(3))`

`\text{The pie given to friends}=(6)/(6)-((1)/(6)+(2*1)/(2*3))`

`\text{The pie given to friends}=(6)/(6)-((1)/(6)+(2)/(6))`

`\text{The pie given to friends}=(6)/(6)-(3)/(6)`

`\text{The pie given to friends}=(6-3)/(6)`

`\text{The pie given to friends}=(3)/(6)`

`\text{The pie given to friends}=(1)/(2)`

Therefore, he gave
`(1)/(2)` of the pie to his friends.