Answer: The greatest number she can cut from is 2 pieces.
And the length of ribbon would be left after cutting is
![(1)/(4)](https://img.qammunity.org/2019/formulas/mathematics/college/uvah8srijoolvb1xwlyapdljmkw8sncji8.png)
Explanation:
Since we have given that
Length of a ribbon =
![(3)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3plulv07o1q6lxwcwi5q9gkjxxpacyi9ql.png)
Length of piece for an art project =
![(1)/(3)](https://img.qammunity.org/2019/formulas/mathematics/college/c3maqdeqjn9ukzpfgt6blhwa4xjde5bp1b.png)
So, the greatest number of piece measuring
meter that can be cut from the ribbon is given by
![(3)/(4)/ (1)/(3)\\\\=(3)/(4)* (3)/(1)\\\\=(9)/(4)\\\\=2(1)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/k34l4mcvhvllssau7xmqdx63ahmksxeuyp.png)
So, the greatest number she can cut from is 2 pieces.
And the length of ribbon would be left after cutting is
![(1)/(4)](https://img.qammunity.org/2019/formulas/mathematics/college/uvah8srijoolvb1xwlyapdljmkw8sncji8.png)