Nathan used 2/3 cup of olive oil in a batch of hummus he made. He then ate 5/7 of the batch of hummus. What fraction of a cup of olive oil did Nathan consume?

(5/7) * (2/3) = 10/21

how many does that equal?

10/21 = 10/21

That's a little less than 1/2.

To find out what fraction of a cup of olive oil Nathan consumed, we need to multiply the amount of olive oil used in the batch by the fraction of the batch that he ate.

Nathan used 2/3 cup of olive oil in the batch of hummus.
He ate 5/7 of the batch.

So, to find out the fraction of a cup of olive oil he consumed, we can multiply 2/3 by 5/7:

(2/3) * (5/7) = (2 * 5) / (3 * 7) = 10/21

Therefore, Nathan consumed 10/21 of a cup of olive oil.