Respuesta :

There are a few ways to do this

When doing a ratio, its a comparison of numbers which often is was multiplied and then compared

So since you can't find a common factor above one to make it smaller, you have to multiply instead.

You can multiply each side by 3 and it would be 9:33 and it would be equivalent to
 3:11 if you divide each side by 3

Other examples:

Multiplying each side by 5⇒ 15: 55

Multiplying each side by 10⇒30:110 

A ratio given as p : q can be written as a fraction → [tex]\frac{p}{q}[/tex]

If we multiply the numerator and the denominator of the fraction [tex]\frac{p}{q}[/tex] with 2 or 3, fraction remains unchanged.

[tex]\frac{p}{q} =\frac{2p}{2q}= \frac{3p}{3q}[/tex]

Following the same rule, ratio given as 3 : 11 can be written as,

[tex]\frac{3}{11}= \frac{3\times 2}{11\times 2}= \frac{3\times 3}{11\times 3}[/tex]

[tex]\frac{3}{11}= \frac{6}{22}= \frac{9}{33}[/tex]

Therefore. equivalent ratios to [tex]3:11[/tex] will be [tex]6:22[/tex] and [tex]9:33[/tex].

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