Question

# Express each of the following ratios in its simplest form $$2 \dfrac{1}{3} : 3 \dfrac{1}{2} : 1 \dfrac{1}{4}$$

Solution

## $$2 \dfrac{1}{3} : 3 \dfrac{1}{2} : 1 \dfrac{1}{4}$$ This can be written as $$\dfrac{7}{3} : \dfrac{7}{2} : \dfrac{5}{4}$$ Now , taking L.C.M of $$3 , 2$$ and $$4$$ we get $$\dfrac{7}{3} \times 12 : \dfrac{7}{2} \times 12 : \dfrac{5}{4} \times 12$$ $$= 28 : 42 : 15$$ Hence , the simplest form of $$2 \dfrac{1}{3} : 3 \dfrac{1}{2} : 1 \dfrac{1}{4}$$ is $$28 : 42 : 15$$ Maths

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