How do you simplify $24 : 36$ $24 : 36$ ?

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Answer 1 · 2016-09-09T09:52:25

$24 : 36 \Leftrightarrow 2 : 3$ $24:36hArr2:3$

Ratios expressed as $x : y$ $x:y$ are same as fractions $\frac{x}{y}$ $x/y$ .

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

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

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

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

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

$24 : 36 \Leftrightarrow 2 : 3$ $24:36hArr2:3$

How do you simplify 24:3624 : 36?