you cut off half of a strip of paper. then you cut half of the piece was left. then you cut half of the remaining piece.


what fraction of the original strip is left?

Respuesta :

Answer:

The fraction of the original strip left is [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

We have that,

A strip of paper is cut in [tex]\frac{1}{2}[/tex]. So, the strip of paper left is [tex]\frac{1}{2}[/tex].

Now, again the remaining part is cut in half. The part left will be  [tex]\frac{1/2}{2}[/tex] i.e.  [tex]\frac{1}{4}[/tex].

Finally, the remaining part is again cut in half.

We get, the final part of the paper remaining is  [tex]\frac{1/4}{2}[/tex] i.e.  [tex]\frac{1}{8}[/tex].

So, the fraction of the original strip left is [tex]\frac{1}{8}[/tex].