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Algebraic Techniques, SM-Bank 104

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

  1. \(\dfrac{a}{2}\times \dfrac{1}{5}\)  (1 mark)

  2. \(\dfrac{3x}{5}\times \dfrac{2y}{7}\)  (1 mark)

  3. \(\dfrac{5r}{9}\times \dfrac{4s}{5}\)  (2 marks)

Show Answers Only

a.    \(\dfrac{a}{10}\)

b.    \(\dfrac{6xy}{35}\)

c.    \(\dfrac{4rs}{9}\)

Show Worked Solution
a.    \(\dfrac{a}{2}\times \dfrac{1}{5}\) \(=\dfrac{a\times 1}{2\times 5}=\dfrac{a}{10}\)

 

b.    \(\dfrac{3x}{5}\times \dfrac{2y}{7}\) \(=\dfrac{3x\times 2y}{5\times 7}=\dfrac{6xy}{35}\)

 

c.    \(\dfrac{5r}{9}\times \dfrac{4s}{5}\) \(=\dfrac{5r\times 4s}{9\times 5}=\dfrac{4rs}{9}\)