Answer :
To solve this problem, we need to determine how many pieces of ribbon of length [tex]\frac{1}{5}[/tex] m can be cut from a ribbon that is 5 m long.
Here's a step-by-step explanation:
Understand the task: We have a ribbon that is 5 meters long, and we have to cut it into smaller pieces, each piece being [tex]\frac{1}{5}[/tex] meter long.
Determine the number of pieces: To find out how many pieces of length [tex]\frac{1}{5}[/tex] m we can get from a ribbon of 5 m, we divide the total length of the ribbon by the length of each piece.
[tex]\text{Number of pieces} = \frac{5}{\frac{1}{5}}[/tex]
Perform the division: Dividing by a fraction is the same as multiplying by its reciprocal. So,
[tex]\frac{5}{\frac{1}{5}} = 5 \times 5 = 25[/tex]
Conclusion: Therefore, you can cut the ribbon into 25 pieces, each of length [tex]\frac{1}{5}[/tex] m.
In summary, you can cut the 5 m ribbon into 25 smaller pieces, each measuring [tex]\frac{1}{5}[/tex] m.