Given:
[tex]\frac{2}{3}t=\frac{5}{9}[/tex][tex]\text{ We know that the reciprocal of }\frac{2}{3}\text{ is }\frac{3}{2}\text{.}[/tex]Multiply both sides by 3/2, we get
[tex]\frac{3}{2}\times\frac{2}{3}t=\frac{3}{2}\times\frac{5}{9}[/tex]Cancel out the common multiples, we get
[tex]t=\frac{1}{2}\times\frac{5}{3}[/tex][tex]t=\frac{1\times5}{2\times3}[/tex][tex]t=\frac{5}{6}[/tex]The solution of the given equation is
[tex]t=\frac{5}{6}[/tex]or
[tex]t=0.8333.[/tex]
