Answer: 3/5
Step-by-Step Explanation:
Let x represent the denominator of the fraction, then we have [tex]\dfrac{x-2}{x}[/tex]
Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:
[tex]\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5[/tex]
Substitute x = 5 into the original fraction:
[tex]\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}[/tex]
