Answer:
Alex can only cut 2 pieces 1 5/9 yards long from the length of the ribbon
Step-by-step explanation:
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:
![L=(3(1)/(2))/(1(5)/(9))](https://img.qammunity.org/2023/formulas/mathematics/college/twg5l0rmxc86i1xxe4fi6b6ydkvfrwj7dj.png)
Convert the mixed fraction to improper fraction:
![\begin{gathered} L=((7)/(2))/((14)/(9)) \\ L=(7)/(2)/(14)/(9) \\ L=(7)/(2)*(9)/(14) \\ L=(63)/(28) \\ L=2.25 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/g429ehl3ou0fc07p378a8zc6qjbx5m2xwy.png)
This shows that Alex can only cut 2 pieces 1 5/9 yards long from the length of the ribbon