Answer: The greatest number she can cut from is 2 pieces.
And the length of ribbon would be left after cutting is 
Step-by-step explanation:
Since we have given that
Length of a ribbon = 
Length of piece for an art project = 
So, the greatest number of piece measuring
meter that can be cut from the ribbon is given by

So, the greatest number she can cut from is 2 pieces.
And the length of ribbon would be left after cutting is 