basically we are trying to solve for x. the equation 2 1/2 = 3 1/4x involves multiplication, so to undo that, we divide. we turn 2 1/2 and 3 1/4 into improper fractions, which is 5/2 = 13/4x. in order to get x by itself, you divide both sides by 13/4. 13/4 divided by 13/4 = x. and 5/2 divided by 13/4 is 10/13. so, X = 10/13
ANSWER 10/13