Algebraic Techniques, SM-Bank 094 For the sum \(\dfrac{a}{2}+\dfrac{a}{3}+\dfrac{a}{4}\), simplify and write an equivalent algebraic fraction. (3 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only \(\dfrac{13a}{12}\) Show Worked Solution \(\dfrac{a}{2}+\dfrac{a}{3}+\dfrac{a}{4}\) \(=\dfrac{a}{2}\times \dfrac{6}{6}+\dfrac{a}{3}\times \dfrac{4}{4}+\dfrac{a}{4}\times \dfrac{3}{3}\) \(=\dfrac{6a}{12}+\dfrac{4a}{12}+\dfrac{3a}{12}\) \(=\dfrac{13a}{12}\)