Alex can only cut 2 pieces 1 5/9 yards long from the length of the ribbon
Given the following parameters
Length of ribbon = 3 1/2 yards
We need to get the amount of 1 5/9 yard piece that Alex can cut from the ribbon.
To do that, we will divide 3 1/2 by 1 5/9 as shown:
[tex]L=\frac{3\frac{1}{2}}{1\frac{5}{9}}[/tex]Convert the mixed fraction to improper fraction:
[tex]\begin{gathered} L=\frac{\frac{7}{2}}{\frac{14}{9}} \\ L=\frac{7}{2}\div\frac{14}{9} \\ L=\frac{7}{2}\times\frac{9}{14} \\ L=\frac{63}{28} \\ L=2.25 \end{gathered}[/tex]This shows that Alex can only cut 2 pieces 1 5/9 yards long from the length of the ribbon
