Find the ratio of the following:$2 \frac{1}{2}$ to $4$ to $3 \frac{1}{3}$

Given:

The given numbers are $2 \frac{1}{2}$, $4$, and $3 \frac{1}{3}$.

To do:

We have to find the ratio of $2 \frac{1}{2}$ to $4$ to $3 \frac{1}{3}$.

Solution:

$2 \frac{1}{2} = \frac{(2\times2+1)}{2} = \frac{(4+1)}{2} = \frac{5}{2}$

$3 \frac{1}{3}= \frac{(3\times3+1)}{3} = \frac{(9+1)}{3} = \frac{10}{3}$

Therefore,

$2 \frac{1}{2} : 4 : 3 \frac{1}{3}  = \frac{5}{2} : 4 :  \frac{10}{3}$

                             $=\frac{5}{2}\times 2 : 4 \times 2 :  \frac{10}{3} \times 2$

                            $ = 5 : 8 : \frac{20}{3}$

                             $= 5\times3 : 8\times3 : \frac{20}{3} \times 3$

                             $= 15 : 24 : 20$.

Therefore, the ratio of  $2 \frac{1}{2}$ to $4$ to $3 \frac{1}{3}$ is $15 : 24 : 20$

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Updated on: 10-Oct-2022

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