Ok, I'm helping my SiL with her college math class -which is a basic math course ("Fundamentals of Math 111'") anyway we've encountered a problem that is confusing her, me and my mother because the "logic" of the problem and how it's solved aren't equaling.
First of all, her teacher wants her to do the solving using diagrams
and the homework she has (as well as the text book) are very grade-school. But I guess that's just the nature of this class.
Anyway, here's the problem that has us all scratching our heads.
My mind instantly tells me "1/8 of a liter."
Right?
If you made a diagram with eight segments in it (depicting the eighths of the milk bottle) and shaded in three of them (depicting the original 3/8 of a liter in the bottle) you'd have a representation of this problem, right?
So if you drink 2/3 of 3/8 whouldn't that be 1/8 of the bottle is left (removing two of those three segments leaving us with one of those segments left, or 1/8.)
But if you do the math of it, multiplying 2/3 and 3/8 you get 6/24, or 1/4.
Which, well, doesn't make sense. Does it?
First of all, her teacher wants her to do the solving using diagrams

Anyway, here's the problem that has us all scratching our heads.
A bottle contains 3/8 of a liter of milk. Jerry drinks 2/3 of it. How much milk is left in the bottle?
My mind instantly tells me "1/8 of a liter."
Right?
If you made a diagram with eight segments in it (depicting the eighths of the milk bottle) and shaded in three of them (depicting the original 3/8 of a liter in the bottle) you'd have a representation of this problem, right?
So if you drink 2/3 of 3/8 whouldn't that be 1/8 of the bottle is left (removing two of those three segments leaving us with one of those segments left, or 1/8.)
But if you do the math of it, multiplying 2/3 and 3/8 you get 6/24, or 1/4.
Which, well, doesn't make sense. Does it?