Final answer:
The greatest number of pieces measuring 1/6 meter that can be cut from a 5 meter ribbon is 30. 0.2 meters of ribbon will be left after cutting.
Step-by-step explanation:
To find the greatest number of pieces measuring 1/6 meter that can be cut from a 5 meter ribbon, we need to divide the length of the ribbon by the length of each piece.
5 meters ÷ (1/6 meter) = 5 ÷ (1/6) = 5 x (6/1) = 30
So, the greatest number of pieces measuring 1/6 meter that can be cut from the ribbon is 30.
To find out how much ribbon will be left after cutting, we subtract the length of the pieces from the original length of the ribbon.
5 meters - (30 x 1/6 meter) = 5 meters - (30/6 meters) = 5 meters - 5 meters = 0 meters
Therefore, the correct answer is option a) 30 pieces, 0.2 meters left.