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

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

and

Compare this results (as ratio)

Divide both sides of the ratio by n

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

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step-by-step explanation: