Question

the answer is x-2/3(x-3) but i need the explanation

Answer 1

Answer:

$\frac{x-2}{3(x-3)}$

Step-by-step explanation:

The area of the shaded rectangle is $A_1=\frac{x-2}{3}\times\frac{x+1}{4}$

The area of the large rectangle is $A_2=\frac{x-3}{2}\times\frac{x+1}{2}=\frac{(x-3)(x+1)}{4}$

So the fraction is $\frac{A_1}{A_2}=A_1\times\frac{1}{A_2}=\frac{x-2}{3}\times\frac{x+1}{4}\times\frac{4}{(x-3)(x+1)}=\frac{x-2}{3(x-3)}$