1. Stating the problem: Simplify the expression $\frac{a}{b}\left(\frac{c}{d} + \frac{e}{f}\right)$. 2. Use the distributive property and fraction addition rules: $$\frac{a}{b}\left(\frac{c}{d} + \frac{e}{f}\right) = \frac{a}{b} \times \left(\frac{c}{d} + \frac{e}{f}\right)$$ 3. Find a common denominator for the sum inside the parentheses: $$\frac{c}{d} + \frac{e}{f} = \frac{cf}{df} + \frac{ed}{df} = \frac{cf + ed}{df}$$ 4. Substitute back: $$\frac{a}{b} \times \frac{cf + ed}{df} = \frac{a}{b} \times \frac{cf + ed}{df}$$ 5. Multiply the fractions: $$\frac{a}{b} \times \frac{cf + ed}{df} = \frac{a(cf + ed)}{bdf}$$ 6. Final simplified expression: $$\boxed{\frac{a(cf + ed)}{bdf}}$$ This is the simplified form of the original expression.