we know that
1) You have [tex]3/4[/tex] of a pie leftover after your party
2) Each
guest takes home [tex]1/6[/tex] of the leftover pie
To find the fraction of the original pie does each guest take home,
Multiply [tex]3/4[/tex] by [tex]1/6[/tex]
so
[tex]\frac{3}{4} *\frac{1}{6} =\frac{3}{24}[/tex]
Simplify
Divide by [tex]3[/tex] both numerator and denominator
[tex]\frac{3}{24}=\frac{1}{8}[/tex]
therefore
the answer is
[tex]\frac{1}{8}[/tex]
