Algebraic Techniques, SM-Bank 103 For the expression \(\dfrac{a}{2}+\dfrac{2a}{3}-\dfrac{a}{4}\), simplify and write an equivalent algebraic fraction. (3 marks) Show Answers Only \(\dfrac{11a}{12}\) Show Worked Solution \(\dfrac{a}{2}+\dfrac{2a}{3}-\dfrac{a}{4}\) \(=\dfrac{a}{2}\times \dfrac{6}{6}+\dfrac{2a}{3}\times \dfrac{4}{4}-\dfrac{a}{4}\times \dfrac{3}{3}\) \(=\dfrac{6a}{12}+\dfrac{8a}{12}-\dfrac{3a}{12}\) \(=\dfrac{11a}{12}\)