Given the bag contains mulch at a amount of,
[tex]2\frac{7}{16}[/tex]Used fraction of mulch is,
[tex]\frac{8}{9}[/tex]To find the amount of mulch used.
At first we need to convert the given improper fraction into proper fraction. so we get,
[tex]\begin{gathered} 2\frac{7}{16}=\frac{2\times16+7}{16} \\ \text{ =}\frac{39}{16} \end{gathered}[/tex]So to find the amount of mulch used, we multiply the fraction used with the total amount of mulch.
[tex]\begin{gathered} \frac{8}{9}\times\frac{39}{16}=\frac{1}{9}\times\frac{39}{2} \\ \text{ =}\frac{1}{3}\times\frac{13}{2} \\ \text{ =}\frac{13}{6} \end{gathered}[/tex]So the amount of mulch used is,
[tex]\frac{13}{6}[/tex]