How do you simplify #24 : 36#?

Answer 1

Emery Allen

#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#

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Answer 2

Noah Archer

To simplify the fraction ( \frac{24}{36} ), find the greatest common divisor (GCD) of 24 and 36, which is 12. Then, divide both the numerator and denominator by this common divisor:

[ \frac{24}{36} = \frac{24 \div 12}{36 \div 12} = \frac{2}{3} ]

So, ( \frac{24}{36} ) simplifies to ( \frac{2}{3} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.