(15-2/x)/(x/5+4) Simplify the complex fraction.

To simplify the given complex fraction (15-2/x)/(x/5+4) , we may look for the LCD or least common denominator.
The denominators are x and 5 . Both are distinct factors.
Thus, we get the LCD by getting the product of the distinct factors from denominator side of each term.
LCD =5*x=5x
Multiply each term by the LCD=5x .
(15*5x-2/x*5x)/(x/5*5x+4*5x)
(75x-10)/(x^2+20x)
Another method is to simplify top and bottom as single fraction.
Let 15= (15x)/x and 4 =20/5 .
(15-2/x)/(x/5+4)
((15x)/x-2/x)/(x/5+20/5)
((15x-2)/x)/((x+20)/5)
Flip the fraction at the bottom to proceed to multiplication.
((15x-2)/x)* (5/(x+20))
Multiply across fractions.
((15x-2)*5)/(x*(x+20x))
(75x-10)/(x^2+20x)
 The complex fraction (15-2/x)/(x/5+4)  simplifies to (75x-10)/(x^2+20x) .