The thickness of the board was decreased from 3 / 4 inches to 9 / 16 inches.
Therefore,
[tex]\text{ the decrement = }\frac{3}{4}-\frac{9}{16}=\frac{12-9}{16}=\frac{3}{16}\text{ inches}[/tex]So the board's thickness in inches decreased by
[tex]\frac{3}{16}[/tex]