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Fractions, SM-Bank 018

  1. List all factors of 20 and 36.  (2 marks)

  2. What is the highest common factor (HCF) of 20 and 36?  (1 mark)

  3. Use the HCF of 20 and 36 to simplify `20/36`.  (1 mark)

Show Answers Only

a.    `text(Factors of)\ 20: 1, 2, 4, 5, 10, 20`

`text(Factors of)\ 36: 1, 2, 3, 4, 6, 9, 12, 16, 36`

b.    `text(HCF) = 4`

c.    `20/36 = (20 ÷ 4)/(36 ÷ 4) = 5/9`

Show Worked Solution

a.    `text(Factors of)\ 20: 1, 2, 4, 5, 10, 20`

`text(Factors of)\ 36: 1, 2, 3, 4, 6, 9, 12, 16, 36`
  

b.   `text(Common Factors:)\ 1, 2, 4`

`text(HCF) = 4`
  

c.    `text(To simplify, divide the numerator and denominator by HCF.)`

`20/36 = (20 ÷ 4)/(36 ÷ 4) = 5/9`