You have a quart of juice and you're filling juice glasses that each hold 2/3 cup of juice, how many glasses can you fill?

Question

You have a quart of juice and you're filling juice glasses that each hold 2/3 cup of juice, how many glasses can you fill?

Answer 1

1 quart is equal to 4 cups. When you have information on conversions, you can set it up as fractions. Keep in mind that numerator and denominator can cancel each other out if all terms are being multiplied.

 

Given that you have a quart of juice, start of the problem with 1 quart. And then you know 1 quart is the same as 4 cups, so you would set that as fraction. You would want quart to be in the denominator so that you can cancel the units like the following:

https://drive.google.com/file/d/0B8JQFy1F_AjxLVAtQlhOUkpGUkk/view?usp=sharing

 

And then the problem listed that each glass holds 2/3 cup. Since you would want to cancel out the unit cup, you would set that on the numerator like the following:

https://drive.google.com/file/d/0B8JQFy1F_AjxcF9ZQ3VlSlpQdTQ/view?usp=sharing

 

Now the only unit that is left is glass, which answers your question, "how many glasses," so all you need to do is multiply all the numerators and then divide by each denominator. 

 

Hope this helps! Let me know if you need any clarifications.