Answer:
When 5 and 6 are multiplied by a common factor, the ratio is always 5 : 6
Step-by-step explanation:
Given
5 and 6 multiplied by the same factor
Required
Compare the result to 5 : 6
Let the factor be represented with n
Such that
[tex]5 * n = 5n[/tex]
and
[tex]6 * n = 6n[/tex]
Compare this results (as ratio)
[tex]Ratio = 5n : 6n[/tex]
Divide both sides of the ratio by n
[tex]Ratio = \frac{5n}{n} : \frac{6n}{n}[/tex]
[tex]Ratio = 5 : 6[/tex]
Hence, when 5 and 6 are multiplied by a common factor, the ratio is always 5 : 6
