[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2}{3}\times\dfrac{5}{9}}[/tex]
[tex]\mathsf{= \dfrac{2\times5}{3\times9}}[/tex]
[tex]\mathsf{= \dfrac{2 + 2 + 2 + 2 + 2}{3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3}}}}[/tex]
[tex]\mathsf{= \dfrac{4 + 4 + 2}{6 + 6 + 6 + 6 + 3}}[/tex]
[tex]\mathsf{= \dfrac{8 + 2}{12 + 12 + 3}}[/tex]
[tex]\mathsf{= \dfrac{10}{24 + 3}}[/tex]
[tex]\mathsf{= \dfrac{10}{27}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{\dfrac{10}{27}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]