Question 849636
2  2/3 = 2 + 2/3


2  2/3 = 6/3 + 2/3


2  2/3 = (6+2)/3


2  2/3 = 8/3


--------------------------


"The length of the park is 2 2/3 the width of the park" ---> L = (8/3)*W


Let W = x


A = L*W


A = ((8/3)*W)*W


2/3 = ((8/3)*x)*x


2/3 = (8/3)*x^2


3*(2/3) = 3*(8/3)*x^2


2 = 8x^2


2/8 = x^2


1/4 = x^2


x^2 = 1/4


x = sqrt(1/4)


x = 1/2


The width is <font size = 4 color="red">1/2 of a mile</font>
the length is (8/3)*W = (8/3)*(1/2) = 8/6 = <font size=4 color="red">4/3 of a mile</font> 


Note: {{{4/3 = 1 & 1/3}}}