$A=\dfrac{6}{7}.\dfrac{8}{13}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{3}{13}.\dfrac{6}{7}$
$A=\dfrac{6}{13}.\dfrac{8}{7}+\dfrac{6}{13}.\dfrac{9}{7}-\dfrac{3}{7}.\dfrac{6}{13}$
$A=\dfrac{6}{13}.\left(\dfrac{8}{7}+\dfrac{9}{7}-\dfrac{3}{7}\right)$
$A=\dfrac{6}{13}.2$
$A=\dfrac{12}{13}$