$\frac{1}{⑧}-\frac{1}{⑨}\ $
$=\frac{1}{7×8×9}- \frac{1}{8×9×10}$
$=\frac{1}{7}×\frac{1}{8}×\frac{1}{9}-\frac{1}{8}×\frac{1}{9}×\frac{1}{10}\ $
$=\frac{1}{9}×(\frac{1}{7}×\frac{1}{8}-\frac{1}{8}×\frac{1}{10})\ $
$=\frac{1}{9}×[\frac{1}{8}×(\frac{1}{7}-\frac{1}{10}))]\ $
$A=\frac{1}{8}×(\frac{1}{7}-\frac{1}{10})$
$=\frac{1}{8}×\frac{3}{70}$
$=\frac{3}{560}$