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Algebraic Techniques, SM-Bank 105

Simplify the following products, giving your answer as an algebraic fraction in simplest form.

  1. \(\dfrac{2b}{3}\times \dfrac{9c}{5}\)  (2 marks)

  2. \(\dfrac{8x}{5}\times \dfrac{25y}{12}\)  (2 marks)

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a.    \(\dfrac{6bc}{5}\)

b.    \(\dfrac{10xy}{3}\)

Show Worked Solution
a.    \(\dfrac{2b}{3}\times \dfrac{9c}{5}\) \(=\dfrac{2b\times 9c}{3\times 5}\)
    \(=\dfrac{18bc\ ÷\ 3}{15\ ÷\ 3}\)
    \(=\dfrac{6bc}{5}\)

 

b.    \(\dfrac{8x}{5}\times \dfrac{25y}{12}\) \(=\dfrac{8x\times 25y}{5\times 12}\)
    \(=\dfrac{200xy\ ÷\ 20}{60\ ÷\ 20}\)
    \(=\dfrac{10xy}{3}\)