Answer:
-10/7
Step-by-step explanation:
The numerator of the product of fractions is the product of the numerators.
The denominator of the product of fractions is the product of the denominators.
[tex]\dfrac{5}{3}\cdot\dfrac{-6}{7}=\dfrac{5(-6)}{3\cdot 7}=\dfrac{-(5\cdot 2)}{7}=\boxed{-\dfrac{10}{7}}[/tex]