How do you simplify $24 : 36$ ?

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Answer 1 · 2016-09-09T09:52:25

$24:36hArr2:3$

Ratios expressed as $x:y$ are same as fractions $x/y$ .

Hence to simplify them we can divide them by their Greatest Common Factor.

As factors of $24$ are ${1,2,3,4,6,8,color(magenta)12,24}$

and factors of $36$ are ${1,2,3,4,6,9,color(magenta)12,18,36}$

Common factors are ${1,2,3,4,color(magenta)6,12}$ and Greatest Common Factor is $12$ .

So dividing each of $24:36$ by $12$ , we get $2:3$ and we can say that

$24:36hArr2:3$

How do you simplify 24 : 3624 : 36?