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)` .