Ratio, SM-Bank 013

Fully simplify the following ratios.

\(\dfrac{1}{2}:3\) (1 mark)

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

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a. \(1:6\)

b. \(3:4\)

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a.	\(\dfrac{1}{2}:3\)	\(=\Bigg(\dfrac{1}{2}\times 2\Bigg):\Bigg(3\times 2\Bigg)\)	\(\ \ \text{Multiply by LCM of 2 and 1.}\)
		\(=1:6\)

b.	\(\dfrac{1}{4}:\dfrac{1}{3}\)	\(=\Bigg(\dfrac{1}{4}\times 12\Bigg):\Bigg(\dfrac{1}{3}\times 12\Bigg)\)	\(\ \ \text{Multiply by LCM of 3 and 4. }\)
		\(=3:4\)