Students in a cooking class made 4 1/2 quarts of soup. they served 4/5 of the soup to friends. each serving is 3/5 quart. hector incorrectly says that there were 3 3/5 serving of soup. what is the correct number of servings ? what did hector do wrong ?

So the students mad 4 and 1/2 quarts of soup.

they served 4/5 of that 4 and 1/2 to some friends....well, what's 4/5 of 4 and 1/2?  well is just their product.



so, each friend got to drink 3/5 quart, how many servings, and therefore friends, can one get out of 18/5 quarts of soup?

well, how many times does 3/5 go into 18/5?  let's check.



so, there were 6 servings, meaning there were 6 friends about.

now, whatever happened to Hector?   well, 18/5 in mixed is 3 and 3/5, so he's correct, there were 3 and 3/5 "quarts in total" served to the friends, but each serving wasn't that much, was just a fraction of that.