Find the ratio of the following in the simplest form:
$1 m 44 c m$ to $2 m 40 c m$

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Solution

To get the ratio of given term in the simplest form,
Convert the given terms into same unit:
We know that.
$1 m = 100 c m$
$1 m 44 c m = 100 c m + 44 c m = 144 c m$
Also,
$2 m 40 c m = 200 c m + 40 c m = 240 c m$
Therefore, ratio of $1 m 44 c m$ to $2 m 40 c m$ $=$ $144 c m : 240 c m = 144 : 240$
Simplest form of $144 : 240$ can be obtained by dividing both term by their HCF $48$
$144 : 240 = \frac{144}{240} = \frac{3}{5} = 3 : 5$
Hence, ratio of $1 m 44 c m$ to $2 m 40 c m$ is $3 : 5$

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