We have that the conclusion Keisha make is
[tex]A+B=\frac{mp+(nq)}{qp}[/tex] from the options below
Therefore
Option C is correct
From the Question we are told that
m, n, p, and q are all integers
[tex]p \neq 0 q \neq 0\\\\\A=\frac{m}{q} B=\frac{ n}{p}[/tex]
Generally the equation for A.B is mathematically given as
[tex]A*B=\frac{m}{q}*\frac{n}{p}\\\\A*B=\frac{mn}{qp}[/tex]
Generally the equation for A.B is mathematically given as
[tex]A+B=\frac{m}{q}+\frac{n}{p}[/tex]
Finding LCM of the denominators and adding through we have
[tex]A+B=\frac{mp+(nq)}{qp}[/tex]
The conclusion Keisha make is
[tex]A+B=\frac{mp+(nq)}{qp}[/tex] from the options below
Therefore
Option C is correct
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