You have 3/4 of a pie leftover after your party. each guest takes home 1/6 of the leftover pie.

what fraction of the original pie does each guest take home?

we know that

1) You have of a pie leftover after your party

2) Each

guest takes home of the leftover pie

To find the fraction of the original pie does each guest take home,

Multiply by

so

Simplify

Divide by both numerator and denominator

therefore

the answer is