a recipe calls for 3 cups of milk, what fraction of the recipe can be made with 2/3 cup of milk

Question

solve the problem by drawing a diagram

 

what fraction represents the situation

Answer 1

Hi Keisha--

 

if you need to answer as a fraction, think of it this way:

 

the recipe calls for 3 cups, but you only have 2/3 of 1 cup. You'd need a whole bunch more "thirds" to make a full recipe.

 

3 whole cups = 9/3, right? (because 1 whole cup would be 3/3.)

 

So if you need 9/3 but you only have 2 of those 9, you can make 2/9 of the recipe.

 

(And 2/9 here is equivalent to D.Y.'s percentage answer below.)

 

Just another take... hope it's helpful!

 

Matt

Answer 2

Hello,  Keisha

 

OK.  There are many different ways you can do this problem.  I am going to set it up as a proportion.  I am going to put the number of cups in the numerator and the percentages in the denominators. Again, you can set this proportion up in 3 additional ways. 

 

3 cups/ 100% =  (2/3) cup/ x%      

 

This means that with 3 cups you can make the whole recipe (100%). And you are trying to find out what percentage (x%), you can make 

with 2/3 of a cup.

 

 

(2/3cups) (100%) = (x)(3cups)              I did Cross Products: 

   (200/3)             = 3x                          (2/3)(100)= 200/3 and 

                                                             (3)(x)= 3x

 

    (200/9)            = x                           I divided by 3.  [(200/3)/3]=    

                                                           (200/3)(1/3)= 200/9

 

       22.22%         = X

 

With 2/3 of a cup you can make approximately 22.22 % of recipe.

 

I hope this helps out.

D.Y. Taylor