Question

Samantha is making soup. to make the broth, she combines 2/5 cup of vegetable stock and 2/3 cup of chicken soup stock. Boiling the broth causes 1/4 cup of the liquid to evaporate. How much broth is left after it is boiled?

Answer 1

Add 2/5 + 2/3, but first change the fractions so that they have an equal denominator. Since 3 and 5 (the denominators) both have 15 in common lets multiply 2/5 by 3/3 which gets you 6/15. 2/3 x 5/5 equals 10/15. 6/15 + 10/15= 16/15. Don't change 16/15 into a mixed number yet we still have to subtract 1/4 cup of liquid (after it's boiled) from the total amount of liquid (before it's boiled): 16/15. 16/15 and 1/4 don't have the same denominator, we're going to have to change that. 15 and 4 both have 60 in common. So now let's multiply 1/4 by 15/15 which equals 15/60. Now we're going to change 16/15 by multiplying it by 4/4 which equals 64/60. Finally, we're going to subtract 64/60 - 15/60=49/60.49/60 cups of broth is left after its boiled.

Answer 2

First,you do,2/5+2/3,but since you will need a common denominator,you will find the least common denominator for 5 and 3.The LCD(Least Common Denominator) will be 15 since both 5 and 3 could go in 15.Now,the equation looks like this: 2/15+2/15 since whatever you do to the bottom numbers,you NEED to do to the top numbers:2 and 2.Now you will need to do,2x3,since 5x3=15 and the answer to 2x3=6 then you do 2x5,since 3x5=15 the answer is 10 now the equation looks like this:6/15+10/15 now you add them together,and the answer will be 16/15 and if you want the answer to be a mixed number,it would look like this: 1 1/15. Hope this helps!