Answer:
Fraction of the original length of Ribbon used by Henry for each bracelet is [tex]\frac{1}{16}[/tex].
Step-by-step explanation:
Given that,
Length of Ribbon cut by Henry in 8 equal pieces and use five of pieces. then out of remaining length make six bracelets.
From the question,
Fraction of each piece of the ribbon will be [tex]\frac{1}{8}[/tex].
Then
He use 5 pieces and the number of remaining pieces is 3.
Now,
He makes 6 bracelets from those 3 pieces left So, fraction is [tex]\frac{3}{6} = \frac{1}{2}[/tex]
Here,
Fraction of length of bracelet to the original ribbon length will be [tex]\frac{1}{2} \times \frac{1}{8}[/tex]
Hence,
Fraction of the original length of Ribbon used by Henry for each bracelet is [tex]\frac{1}{16}[/tex].