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? (1 point)
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.
Rectangle model divided into six equal sections, five sections are labeled five-sixths and two sections are labeled one-third, equaling two and one-half days.
Rectangle model divided into three equal sections, three sections are labeled five-sixths and one section is labeled one-third, equaling three days.
Rectangle model divided into six equal sections, five sections are labeled five-sixths and one section is labeled one-third, equaling five days.
The correct rectangle model is the one divided into six equal sections, where five sections are labeled five-sixths and two sections are labeled one-third, equaling two and one-half days.
To solve this problem, we need to compare the fraction 5/6 pound of bird seed that Joe has with the fraction 1/3 pound he needs to feed the birds daily.
We can start by calculating how many days' worth of seed Joe has left by dividing the amount of seed he has (5/6) by the amount he needs daily (1/3).
To do this, we divide the numerator of the first fraction (5) by the numerator of the second fraction (1), and we divide the denominator of the first fraction (6) by the denominator of the second fraction (3).
Doing the division, we have: (5 ÷ 1) / (6 ÷ 3) = 5/2 = 2 1/2.
So, Joe has 2 1/2 days' worth of seed left.
Looking at the given options, the rectangle model that represents 2 1/2 days' worth of seed is:
Rectangle model divided into six equal sections, five sections are labeled five-sixths and two sections are labeled one-third, equaling two and one-half days.