Question

what is the common denominator of \\(\frac{1}{a}+\frac{1}{b}\\) in the complex fraction \\(\frac{\frac{1}{a}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b}}\\)?\
\\(\bigcirc\\ a^2b^2\\)\
\\(\bigcirc\\ a - b\\)\
\\(\bigcirc\\ a + b\\)\
\\(\bigcirc\\ ab\\)

Explanation:

Step1: Identify denominators

The terms $\frac{1}{a}$ and $\frac{1}{b}$ have denominators $a$ and $b$.

Step2: Find least common multiple

The least common multiple of $a$ and $b$ is their product, since they are distinct variables with no common factors.

Answer:

D. $ab$