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Ratio, SM-Bank 011

Fully simplify the following ratios.

  1. \(24:18\)  (1 mark)

  2. \(180:81\)  (1 mark)

  3. \(14:49:56\)  (1 mark)

Show Answers Only

a.    \(4:3\) 

b.    \(20:9\)

c.    \(2:7:8\)

Show Worked Solution
a.    \(24 :18\) \(=\dfrac{24}{6}:\dfrac{18}{6}\) \(\ \ \text{(Divide by HCF of 24 and 18.)}\)
    \(=4:3\)  

 

b.    \(180 :81\) \(=\dfrac{180}{9}:\dfrac{81}{9}\) \(\ \ \text{(Divide by HCF of 180 and 81.)}\)
    \(=20:9\)  

 

c.    \(14 :49:56\) \(=\dfrac{14}{7}:\dfrac{49}{7}:\dfrac{56}{7}\) \(\ \ \text{(Divide by HCF of 14, 49 and 56.)}\)
    \(=2:7:8\)