A recipe calls for some sugar. You have 2/3 cup of sugar in our pantry, but that' only 3/4 of what you need. How much sugar do you need for the recipe?

Question

Draw an illustration to support your answer.

Answer 1

I don't know if you're studying algebra yet, so here's a way to solve it without algebra.

 

You have THREE quarters of what you need.  So a third of what you have would be ONE quarter of what you need. 

 

What is 1/3 of what you have?  That's 1/3 of 2/3, which is 1/3 times 2/3, which is 2/9.

 

So 2/9 is one quarter of what you need.  That means that 4 times 2/9 would the the whole of what you need, since there are 4 quarters in a whole.  So 4 times 2/9 is 8/9.  So the answer is that you need 8/9 cup.