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Ratio, SM-Bank 015

Change these ratios to the same units and then write in simplest form.

  1. \(40\ \text{cm}: 1.2\ \text{m}\)  (2 marks)

  2. \(4\ \text{hours}:20\ \text{minutes}\)  (2 marks)

  3. \(15\ \text{days}: 3\ \text{weeks}\)  (2 marks)

Show Answers Only

a.    \(1:3\) 

b.    \(6:1\)

c.    \(5:7\)

Show Worked Solution
a.    \(40\ \text{cm}:1.2\ \text{m}\) \(=40\ \text{cm}:120\ \text{cm}\)
    \(=40:120\)
    \(=1:3\)

 

b.    \(4\ \text{hours}:20\ \text{minutes}\) \(=240\ \text{minutes}:40\ \text{minutes}\)
    \(=240:40\)
    \(=6:1\)

 

c.    \(15\ \text{days}:3\ \text{weeks}\) \(=15\ \text{days}:21\ \text{days}\)
    \(=15:21\)
    \(=5:7\)