Answer
$-\dfrac{3}{35}$
Work Step by Step
The product of two numbers with opposite signs is negative.
Thus,
$\require{cancel}
(\frac{2}{7})(-\frac{3}{10})
\\=-\frac{2(3)}{7(10)}
\\=-\frac{\cancel{2}(3)}{7\cancel{(10)}5}
\\=-\frac{3}{35}$