Answer:
15/33
Explanation:
Let x represent the numerator of the original fraction. Then that fraction is ...
... x/(2x+3)
Decreasing numerator and denominator by 1 gives ...
... (x-1)/(2x +3 -1) = 7/16
Multiplying by the product of the denominators, we get ...
... 16(x -1) = 7(2x +2)
... 16x -16 = 14x +14 . . . . eliminate parentheses
... 2x = 30 . . . . . . . . . . . add 16-14x
... x = 15 . . . . . . . . . . . . divide by 2
And the original fraction is
... 15/(2·15+3) = 15/33