Answer:
Each will receive [tex]\frac{1}{6}th[/tex] of the cake.
Step-by-step explanation:
Let the amount of cake = c
Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.
Number of persons = 3
Part of the cake shared = [tex]\frac{c}{2}[/tex]
Fraction of the cake shared by each = [tex]\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}[/tex]
= [tex]\frac{\frac{1}{2}c}{3}[/tex]
= [tex]\frac{1}{6}c[/tex]
Therefore, fraction of total cake shared by each member will be [tex]\frac{1}{6}[/tex] of the total amount of cake.