Question 431417
Each figure represents a real number and no denominators are 0. Choose the correct statement and briefly explain why the others are not correct. 

a) (Ο/Δ)+(Ω/Ο)=(Ο+Ω)/(ΔΟ) 
b) (Ο/Δ)+(Ω/Ο)=(Ο+Ω)/(Δ+Ο) 
c) (Ο/Δ)+(Ω/Ο)=(ΟΟ+ΩΔ)/(ΔΟ)
<pre>

The correct answers should be counterexamples, not just "it has the
wrong denominator":


a) (&#927;/&#916;)+(&#937;/&#927;)=(&#927;+&#937;)/(&#916;&#927;) 

is not correct because

   (4/1)+(8/4)=(4+8)/(1*4)
        4 + 2 = 12/4
            6 = 3

which is false, and so we have a counterexample.

b) (&#927;/&#916;)+(&#937;/&#927;)=(&#927;+&#937;)/(&#916;+&#927;)

is not correct because

   (6/3)+(12/6)=(6+12)/(3+6)
         2 + 2 = 18/9
             4 = 2

which is false, and so we have a counterexample

c) is correct

Edwin</pre>