Final answer:
The least common denominator (LCD) of (1)/(x+5) and (1)/(x) is x(x+5).
Step-by-step explanation:
The least common denominator (LCD) is the smallest multiple that two or more denominators have in common. To find the LCD of (1)/(x+5) and (1)/(x), we need to determine the factors of each denominator:
(x+5): 1, (x+5)
(x): 1, x
The factors that are common to both denominators are 1 and x+5. Therefore, the LCD is x(x+5).