Question

When 5 and 6 are multiplied be the same factor, how do the ratios compare to the ration 5:6

Answer 1

When 5 and 6 are multiplied by a common factor, the ratio is always 5 : 6

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

`5 * n = 5n`

and

`6 * n = 6n`

Compare this results (as ratio)

`Ratio = 5n : 6n`

Divide both sides of the ratio by n

`Ratio = (5n)/(n) : (6n)/(n)`

`Ratio = 5 : 6`

Hence, when 5 and 6 are multiplied by a common factor, the ratio is always 5 : 6