SOLUTION: Each figure represents a Real Number and no denominators are zero. Choose the correct statement and briefly explain why the others are not correct. a) a/b+c/d=(a+c)/(bd)

Algebra ->  Real-numbers -> SOLUTION: Each figure represents a Real Number and no denominators are zero. Choose the correct statement and briefly explain why the others are not correct. a) a/b+c/d=(a+c)/(bd)       Log On


   

Question 1005494: Each figure represents a Real Number and no denominators are zero. Choose the correct statement and briefly explain why the others are not correct.

a) a/b+c/d=(a+c)/(bd)


b). a/b+c/d=(a+c)/(b+d)




c). a/b+c/d=(ad+bc)/(bd)
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
a) a/b+c/d=(a+c)/(bd)
This is incorrect (unless b=1 and d=1) because a/bd
does not equal a/b and c/bd does not equal c/d
.
b). a/b+c/d=(a+c)/(b+d)
This is incorrect because you cannot add fractions
merely by adding numerators and denominators.
.
c). a/b+c/d=(ad+bc)/(bd)
This is correct:
%28a%2Fb%29%2B%28c%2Fd%29=%28ad%2Bbc%29%2F%28bd%29
%28a%2Fb%29%28d%2Fd%29%2B%28c%2Fd%29%28b%2Fb%29=%28ad%2Bbc%29%2Fbd
%28ad%2Fbd%29%2B%28bc%2Fbd%29=%28ad%2Bbc%29%2Fbd
%28ad%2Bbc%29%2Fbd=%28ad%2Bbc%29%2Fbd