Answer:
[tex]\frac{1}{2}[/tex] of the whole pie
Step-by-step explanation:
The problem calls for a multiplication of fractions. In order to know how much pie Reuben got, we have to multiply [tex]\frac{2}{3}[/tex] by the pie Gabriella has, which is [tex]\frac{6}{8}[/tex].
So: [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{8}[/tex] = [tex]\frac{12}{24}[/tex]
Let's reduce the answer to its lowest term by dividing both the numerator and the denominator by 12.
Numerator: 12÷12 = 1
Denominator: 24÷12 = 2
So, this makes Reuben's share being [tex]\frac{1}{2}[/tex] of the whole pie.