Scale Factor of 78 and 3

What is the Scale Factor of 78 and 3? What is the Scale Factor between 78 and 3? More specifically, what is the Scale Factor from a length of 78 to a length of 3? In other words, what (Scale Factor) can you multiply by 78 to get 3 as illustrated below?:

78 × Scale Factor = 3

To solve the equation above, you simply divide both sides by 78 to get the Scale Factor alone on the left side:

(78 × Scale Factor)/78 = 3/78
Scale Factor = 3/78

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 = 1/26
Decimal answer ≈ 0.038462

You may also be interested to know that we verified that 78 × 1/26 = 3 is true, which means that our answer is correct. Also, note that since 78 is greater than 3, this is a Reduction Scale Factor.

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