SOLUTION: Trisha needs 41/2 yards of fabric to do a project. If she already has 2/3 of a yard of fabric, what is the minimum amount of fabric she must buy to be able to complete her project

Question 827227: Trisha needs 41/2 yards of fabric to do a project. If she already has 2/3 of a yard of fabric, what is the minimum amount of fabric she must buy to be able to complete her project?

Found 2 solutions by josgarithmetic, LinnW:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
A guess that you did not mean "41/2", but , or , is what she needs according to her project. She already has of the fabric.

Letting b = how much to buy,

, LCD is 6

Reduce the number,

Change to mixed number

Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
She will need at least ( 4 1/2 - 2/3)
Since 2/3 is greater than 1/2
rewrite 4 1/2 as 3 3/2.
We can do this because 4 1/2 = 3 + 1 + 1/2 = 3 + 1 1/2 = 3 + 3/2 = 3 3/2
( 4 1/2 - 2/3 ) is the same as
( 3 3/2 - 2/3 )
using a common denominator of 6
( 3 9/6 - 4/6 )
( 3 5/6 )
She needs at least 3 5/6 . She might need more if she cannot cut the necessary
parts from the two pieces ( 3 5/6 and 2/3 ).
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