Question

Find each of the following products by doing the multiplication first write your answers in simplified form and as a mixed number when necessary

Answer 1

`\begin{gathered} \text{Given} \\ (2)/(9)*12 \end{gathered}`
`\begin{gathered} (2)/(9)*12 \\ =(2*12)/(9) \\ =(24)/(9) \\ \\ \text{Reduce to lowest terms by dividing to 3} \\ (24)/(9)=(24/3)/(9/3) \\ =(8)/(3) \\ \\ \text{Convert to mixed fraction} \\ 8/3=2\text{ remainder }2 \\ (8)/(3)\Longrightarrow2(2)/(3) \\ \\ \text{Therefore,} \\ (2)/(9)*12=2(2)/(3) \end{gathered}`