Respuesta :

jaykegamer
It would be 6:4:3 because you divide each number by a factor they all have in common, which would be 7.

Answer:  The required simplified ratio is 6 : 4 : 3.

Step-by-step explanation:  We are given to simplify the following ratio :

[tex]R=42:28:21.[/tex]

We know that

for any two numbers a and b,

[tex]a:b=\dfrac{a}{b}.[/tex]

We have

[tex]42:28=\dfrac{42}{28}=\dfrac{7\times6}{7\times4}=\dfrac{6}{4}.[/tex]

And,

[tex]28:21=\dfrac{28}{21}=\dfrac{7\times4}{7\times3}=\dfrac{4}{3}.[/tex]

Therefore, we get

[tex]42:28:21=6:4:3.[/tex]

Thus, the required simplified ratio is 6 : 4 : 3.