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Mathematics

Find the compound ratio of 2a : 3b, mn : x2 and x : n

Ratio Proportion

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Answer

Compound ratio of 2a : 3b, mn : x2 and x : n,

=2a3b×mnx2×xn=2amnx3bx2n=2am3bx=2am:3bx.= \dfrac{2a}{3b} \times \dfrac{mn}{x^2} \times \dfrac{x}{n} \\[1em] = \dfrac{2amnx}{3bx^2n} \\[1em] = \dfrac{2am}{3bx} = 2am : 3bx.

Hence, compound ratio of 2a : 3b, mn : x2 and x : n is 2am : 3bx.

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