What is the greatest whole number that is less than ( 5\2)^3 divided by (3\4)^2

First work out (5/2)³ by cubing both the numerator and denominator to give: 125/8

then work out (3/4)² by squaring both the numerator and denominator to give: 9/16 

then divide 125/8 by 9/16
using the stay-change-flip method of division:
the first term stays the same, the divide becomes multiply and the second fraction is flipped upside down.
so:
125/8 x 16/9 =2000/72
then just divide 2000 by 72 to give: 27.78 to 2 d.p
therefore the greatest whole number than 27.78 is 27.