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

Question

Everly Taylor · Accepted Answer

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

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#.

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.

Riley Anderson · Answer

undefined To find out how much fabric Erica is now left with, we need to calculate 2/3 of 3 1/2 yards, and then subtract that amount from the total fabric she had.

First, let's convert the mixed number 3 1/2 into an improper fraction:
3 1/2 = (2 * 3 + 1) / 2 = 7/2 yards

Now, we can find 2/3 of 7/2 yards:
(2/3) * (7/2) = (2 * 7) / (3 * 2) = 14/6 yards

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
14/6 = (2 * 7) / (2 * 3) = 7/3 yards

So, Erica used 7/3 yards of fabric.

Now, to find out how much fabric she is left with, we subtract 7/3 yards from the total fabric she had:
3 1/2 yards - 7/3 yards = (3 * 2/2) - (7/3) = 6/2 - 7/3
                               = 9/3 - 7/3
                               = 2/3 yards

Therefore, Erica is now left with 2/3 yards of fabric.