Answer:
[tex]x=\frac{9}{8}\ yards[/tex]
[tex]x=1.125\ yards[/tex]
Step-by-step explanation:
Let's call x the length of each piece in yards
If the ribbon is cut into 8 equal pieces then the sum of the pieces is:
[tex]x+x+x+x+x+x+x+x=8x[/tex]
Then:
[tex]8x=9\ yards[/tex]
Now we solve the equation for x
[tex]8x=9\ yards[/tex]
Divide both sides of equality by 8
[tex]\frac{8}{8}x=\frac{9}{8}\ yards[/tex]
[tex]x=\frac{9}{8}\ yards[/tex]
So the length of each piece is [tex]\frac{9}{8}[/tex] of a yard.
This is: 1.125 yards
