Erica had #3 1/2# yards of fabric and she used #2/3# of the piece. How much fabric she is now left with?

1 Answer
Sep 15, 2016

Erica has left with #1# yard and #6# inches of fabric.

Explanation:

When one uses #2/3# of a whole piece, what one does is divide the whole in to #3# pieces and use #2# of them.

Hence what is left is #1# piece out of #3#, which are equivalent to #1/3#.

enter image source here

Now Erica had #3 1/2# yards of fabric i.e. #7/2# yards, so what is left is

#7/2xx1/3=7/6=1 1/6# yards. As a yard has #36# inches, it is #1# yard and #1/6xx36=6# inches.

Hence, Erica has left with #1# yard and #6# inches of fabric.