A map of Levi’s property is being made with a scale of 2 centimeters : 3 meters. What is the scale factor?

Answer:  The scale factor is:  " 2 : 300 " .
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Explanation:
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2 cm : 3 m ; 
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Convert:  "2 cm "  to the value in "m" .

Note the exact conversion:  "100 cm = 1 m" .
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   2 cm * (1 m / 100 cm) =  (2/100) m = 0.02 m .

So we rewrite:  "2 cm: 3 m " ;  as:
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            0.02 m : 3 m ;

The units of "m" cancel out ; since "m/m = 1" ; 
and we are left with:

0.02 : 3 ; or, write as:  0.02/3 ; 

Now, multiply BOTH the numerator and the denominate by "100" ; to get rid of the decimal; since "scale factors" in maps do not use "decimals" ;

 "0.02 / 3 " =  [ (0.02)*100 ] / [(3 * 100)]  =  2/300 ;
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Answer:  The scale factor is:  " 2 : 300 " .
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