[tex]\begin{gathered} \text{Given} \\ \frac{2}{9}\times12 \end{gathered}[/tex][tex]\begin{gathered} \frac{2}{9}\times12 \\ =\frac{2\times12}{9} \\ =\frac{24}{9} \\ \\ \text{Reduce to lowest terms by dividing to 3} \\ \frac{24}{9}=\frac{24\div3}{9\div3} \\ =\frac{8}{3} \\ \\ \text{Convert to mixed fraction} \\ 8\div3=2\text{ remainder }2 \\ \frac{8}{3}\Longrightarrow2\frac{2}{3} \\ \\ \text{Therefore,} \\ \frac{2}{9}\times12=2\frac{2}{3} \end{gathered}[/tex]
