Question

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?

Answer 1

The fraction of the original strip left is
`(1)/(8)`.

Explanation:

We have that,

A strip of paper is cut in
`(1)/(2)`. So, the strip of paper left is
`(1)/(2)`.

Now, again the remaining part is cut in half. The part left will be
`(1/2)/(2)` i.e.
`(1)/(4)`.

Finally, the remaining part is again cut in half.

We get, the final part of the paper remaining is
`(1/4)/(2)` i.e.
`(1)/(8)`.

So, the fraction of the original strip left is
`(1)/(8)`.