Answer: Jose mowed half of the yard.
Step-by-step explanation: Given that Sam and Jose mowed [tex]\dfrac{2}{3}[/tex] of the yard and Jose mowed [tex]\dfrac{3}{4}[/tex] of that amount.
We are to find the part of the yard that Jose mowed.
According to the given information, the part of the yard that Jose mowed is given by
[tex]P_j=\dfrac{3}{4}\times\dfrac{2}{3}=\dfrac{1}{2}.[/tex]
Thus, Jose mowed half of the yard.
