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Ratio, SM-Bank 012

Fully simplify the following ratios.

  1. \(10:32\)  (1 mark)

  2. \(144:60\)  (1 mark)

  3. \(36:18:66\)  (1 mark)

Show Answers Only

a.    \(5:16\) 

b.    \(12:5\)

c.    \(6:3:11\)

Show Worked Solution
a. \(10:32\) \(=\dfrac{10}{2}:\dfrac{32}{2}\) \(\ \ \text{(Divide by HCF of 10 and 32.)}\)
    \(=5:16\)  

 

b. \(144:60\) \(=\dfrac{144}{12}:\dfrac{60}{12}\) \(\ \ \text{(Divide by HCF of 144 and 60.)}\)
    \(=12:5\)  

 

c. \(36:18:66\) \(=\dfrac{36}{6}:\dfrac{18}{6}:\dfrac{66}{6}\) \(\ \ \text{(Divide by HCF of 36, 18 and 66.) }\)
    \(=6:3:11\)