Ratio, SM-Bank 014

Fully simplify the following ratios.

\(\dfrac{5}{12}:\dfrac{11}{8}\) (2 mark)

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\(1\dfrac{1}{4}:3\dfrac{1}{2}\) (2 marks)

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a. \(10:33\)

b. \(5:14\)

Show Worked Solution

a.	\(\dfrac{5}{12}:\dfrac{11}{8}\)	\(=\bigg(\dfrac{5}{12}\times 24\bigg):\bigg(\dfrac{11}{8}\times 24\bigg)\)	\(\ \ \text{Multiply by LCM of 12 and 8.}\)
		\(=10:33\)

b.	\(1\dfrac{1}{4}:3\dfrac{1}{2}\)	\(=\dfrac{5}{4}:\dfrac{7}{2} \ \ \ \text{Convert to improper fractions }\)
		\(=\bigg(\dfrac{5}{4}\times 4\bigg):\bigg(\dfrac{7}{2}\times 4\bigg)\ \ \ \ \text{Multiply by LCM of 4 and 2. }\)
		\(=5:14\)