Nathan has some pencils. 3/4 of his pencils are yellow pencils. 2/3 of those lead pencils do not have erasers. What fraction of Nathan's pencils are yellow pencils without erasers?

The fraction of Nathan's pencils that are yellow without erasers is 1/2.

Step-by-step explanation:

The problem gave us two informations, the first one is the fraction of the total amount of pencils that Nathan has that are yellow, the second one is the fraction of those yellow pencils that don't have erasers. So in order to find the fraction of the total pencils that are yellow pencils without erasers we need to multiply the two fractions that were given to us. So we have:

yellow pencils without erasers = (3/4) * (2/3) = 6/12 = 1/2