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Algebraic Techniques, SM-Bank 090

For the sum \(\dfrac{m}{3}+\dfrac{m}{2}\), simplify and write an equivalent algebraic fraction.  (2 marks)

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\(\dfrac{5m}{6}\)

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\(\dfrac{m}{3}+\dfrac{m}{2}\) \(=\dfrac{m}{3}\times \dfrac{2}{2}+\dfrac{m}{2}\times \dfrac{3}{3}\)
  \(=\dfrac{2m}{6}+\dfrac{3m}{6}\)
  \(=\dfrac{5m}{6}\)

Filed Under: Algebraic Fractions Tagged With: num-title-ct-core, smc-4697-30-Add/Subtract

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