Answer:
Regan sold [tex]\mathbf{\frac{23}{12}}[/tex] gallons of lemonade
Step-by-step explanation:
Operations with Fractions
Mark sold [tex]2\frac{7}{8}[/tex] gallons of lemonade.
Regan sold [tex]\frac{2}{3}[/tex] as much lemonade as Mark
We can find the portion of lemonade Regan sold by multiplying both fractions. But first, we must convert to improper fraction:
[tex]2\frac{7}{8}=2+\frac{7}{8}=\frac{23}{8}[/tex]
Now we multiply:
[tex]\frac{23}{8}\cdot \frac{2}{3}=\frac{46}{24}=\frac{23}{12}[/tex]
Regan sold [tex]\mathbf{\frac{23}{12}}[/tex] gallons of lemonade
