Joe has fraction 5 over 6 pound of bird seed. He needs fraction 1 over 3 pound to feed the birds daily. Which of the rectangle models below shows how many days' worth of seed Joe has left? Rectangle model divided into six equal sections, five sections are labeled five-sixths and three sections are labeled one-third, equaling one and two-thirds days.

Since Joe has 5/6 pounds left and he only needs 1/3 pounds each day to feed the birds, therefore the number of remaining day’s worth of seed is:

days = (5/6) / (1/3) = 2.5

The remaining seed can run up to 2 and half days. This also means that after 2 days, he is remained with ½ of 1/3 pound. ½ of 1/3 pound is equivalent to 1/6 pound. Therefore the correct rectangle model to use is:

Rectangle model divided into 3 equal sections, two sections are labeled one-third and one section is labeled one-sixth, equaling two and one-half days.