Hello!
Answer:
[tex]\huge\boxed{\frac{12}{20}}[/tex]
To find the numerator and denominator, we can set up a proportion where:
x = denominator
x -8 = numerator
[tex]\frac{3}{5} = \frac{x-8}{x}[/tex]
Cross multiply:
[tex]3(x) = 5(x - 8)[/tex]
[tex]3x = 5x - 40[/tex]
Simplify:
[tex]3x - 5x = -40\\\\-2x = -40\\\\x = 20[/tex]
Substitute in this value of x to find the numerator and denominator:
[tex]\frac{(20) - 8}{(20)} = \frac{12}{20}[/tex]
Hope this helped you! :)
