Verify the Fraction Equation: Is (a+c)/(b+a) = c/b True?

Let's examine the problem first:

$\frac{a+c}{b+a}\stackrel{?}{= }\frac{c}{b}$

Note that the expression on the left side cannot be simplified, despite the fact that both in the numerator and denominator there is the term $a$ however, it is connected to the other term (both in numerator and denominator) and does not multiply it, therefore simplification - which is essentially applying the division operation which is the inverse operation of multiplication, is not possible, and therefore the current form of the expression on the left side:

$\frac{a+c}{b+a}$

is its final and most simplified form,

The term on the right side is:

$\frac{b}{c}$

Therefore the expressions on both sides of the (assumed) equality are not equivalent, meaning:

$\frac{a+c}{b+a}\stackrel{!}{\neq }\frac{c}{b}$

(In other words, there is no identical equality- that holds true for all possible values of the parameters $a,b,c$)

Therefore, the correct answer is answer B.