Question

On Saturday, Mark sold 2 7/8 gallons of lemonade.

On the same day, Regan sold 2/3 as much lemonade as Mark.

How much lemonade, in gallons, did Regan sell?

Answer 1

Regan sold
`\mathbf{(23)/(12)}` gallons of lemonade

Explanation:

Operations with Fractions

Mark sold
`2(7)/(8)` gallons of lemonade.

Regan sold
`(2)/(3)` 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:

`2(7)/(8)=2+(7)/(8)=(23)/(8)`

Now we multiply:

`(23)/(8)\cdot (2)/(3)=(46)/(24)=(23)/(12)`

Regan sold
`\mathbf{(23)/(12)}` gallons of lemonade