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Algebraic Techniques, SM-Bank 096

For the difference \(\dfrac{a}{4}-\dfrac{a}{5}\), simplify and write an equivalent algebraic fraction.  (2 marks)

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\(\dfrac{a}{20}\)

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\(\dfrac{a}{4}-\dfrac{a}{5}\) \(=\dfrac{a}{4}\times \dfrac{5}{5}-\dfrac{a}{5}\times \dfrac{4}{4}\)
  \(=\dfrac{5a}{20}-\dfrac{4a}{20}\)
  \(=\dfrac{a}{20}\)

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

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