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

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Answer 1 · 2016-09-15T03:58:47

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 $1/3$ .

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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.

Erica had 3 1/23 1/2 yards of fabric and she used 2/32/3 of the piece. How much fabric she is now left with?