#### Answer

a) 1 $\frac{25}{32}$ in
b)1 $\frac{19}{32}$ in

#### Work Step by Step

Let the thickness of the plate = 1 $\frac{7}{8}$ in
The planer takes a cut of $\frac{3}{32}$ in
a) Thickness of the plate after one cut = 1 $\frac{7}{8}$ in - $\frac{3}{32}$ in
= $\frac{15}{8}$ in - $\frac{3}{32}$ in
=$\frac{15}{8}\times$ $\frac{4}{4}$ - $\frac{3}{32}$
= $\frac{60}{32}$ - $\frac{3}{32}$
=$\frac{57}{32}$
=1 $\frac{25}{32}$ in
b)Thickness of the plate after three cut =1 $\frac{7}{8}$ in - $\frac{3}{32}$ in- $\frac{3}{32}$ in- $\frac{3}{32}$ in
=$\frac{15}{8}$ - $\frac{9}{32}$
=$\frac{15}{8}\times$ $\frac{4}{4}$ - $\frac{9}{32}$
=$\frac{60}{32}$ - $\frac{9}{32}$
= $\frac{51}{32}$
=1 $\frac{19}{32}$ in