Scale Factor of 27 and 3

What is the Scale Factor of 27 and 3? What is the Scale Factor between 27 and 3? More specifically, what is the Scale Factor from a length of 27 to a length of 3? In other words, what (Scale Factor) can you multiply by 27 to get 3 as illustrated below?:

27 × Scale Factor = 3

To solve the equation above, you simply divide both sides by 27 to get the Scale Factor alone on the left side:

(27 × Scale Factor)/27 = 3/27
Scale Factor = 3/27

We could leave the answer like that, but we have also converted the answer to its simplest fraction form and to decimal form:

Fraction answer = 1/9
Decimal answer ≈ 0.111111

You may also be interested to know that we verified that 27 × 1/9 = 3 is true, which means that our answer is correct. Also, note that since 27 is greater than 3, this is a Reduction Scale Factor.

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