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#