Algebraic Techniques, SM-Bank 092 For the sum \(\dfrac{2x}{3}+\dfrac{x}{5}\), simplify and write an equivalent algebraic fraction. (2 marks) Show Answers Only \(\dfrac{13x}{15}\) Show Worked Solution \(\dfrac{2x}{3}+\dfrac{x}{5}\) \(=\dfrac{2x}{3}\times \dfrac{5}{5}+\dfrac{x}{5}\times \dfrac{3}{3}\) \(=\dfrac{10x}{15}+\dfrac{3x}{15}\) \(=\dfrac{13x}{15}\)