Complex fractions are fractions that have fractions in the numerator, denominator, or both. To simplify a complex fraction, we must first rewrite it as a simple fraction. This can be done by multiplying the numerator and denominator of the complex fraction by the least common multiple (LCM) of the denominators of the fractions in the numerator and denominator.
For example, to simplify the complex fraction $\frac{\frac{1}{2}}{\frac{1}{3}}$, we would first find the LCM of the denominators 2 and 3, which is 6. Then, we would multiply the numerator and denominator of the complex fraction by 6, which gives us $\frac{\frac{1}{2} 6}{\frac{1}{3} 6} = \frac{3}{2}$.
