Answer:
[tex]\large\boxed{n=\dfrac{27}{20}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ n\ \text{is a number.}\\\\\text{The product of a number and}\ -\dfrac{2}{3}\ \text{is}\ -\dfrac{9}{10}:\\\\-\dfrac{2}{3}\cdot n=-\dfrac{9}{10}\\\\-\dfrac{2n}{3}=-\dfrac{9}{10}\qquad\text{change the signs}\\\\\dfrac{2n}{3}=\dfrac{9}{10}\qquad\text{cross multiply}\\\\(2n)(10)=(3)(9)\\\\20n=27\qquad\text{divide both sides by 20}\\\\\dfrac{20n}{20}=\dfrac{27}{20}\\\\\boxed{n=\dfrac{27}{20}}[/tex]
