Multiplication and Division of Algebraic Fractions - SS2 Mathematics Lesson Note

Example: Simplify \(\frac{c}{a + b} \times \frac{5a + 5b}{2c^{2} + 2c}\)

Solution

\[\frac{c}{a + b} \times \frac{5a + 5b}{2c^{2} + 2c} = \ \frac{c}{a + b} \times \frac{5(a + b)}{2c(c + 1)} = \ \frac{1}{1} \times \frac{5}{2(c + 1)} = \ \frac{5}{2c + 2}\]