Charlene has 2 5/8 yards of fabric. The curtain she is making requires 3 3/4 yards. How much more fabric does she need?
3 3/4 - 2 5/8 =
3 6/8 - 2 5/8 = 1 1/8
1 1/8
To find out how much more fabric Charlene needs, we need to subtract the length of the fabric she already has from the length of fabric required for the curtain.
First, let's convert the mixed numbers to improper fractions for easier calculations.
Charlene has 2 5/8 yards of fabric. This can be written as:
2 + 5/8 = (2 * 8/8) + 5/8 = 16/8 + 5/8 = 21/8 yards
The curtain requires 3 3/4 yards, which can be written as:
3 + 3/4 = (3 * 4/4) + 3/4 = 12/4 + 3/4 = 15/4 yards
Now let's subtract the length of fabric Charlene has from the length required for the curtain:
15/4 - 21/8
To subtract these fractions, we need a common denominator, which is the least common multiple (LCM) of 4 and 8, which is 8.
Converting both fractions to have a denominator of 8:
(15/4) * (2/2) = 30/8
21/8 - 30/8 = (21 - 30)/8 = -9/8
Therefore, Charlene needs -9/8 yards of fabric.
However, negative values do not make sense in this context. So we can interpret -9/8 as meaning that Charlene has an excess of 9/8 yards of fabric, or 1 1/8 yards.
Therefore, Charlene needs an additional 1 1/8 yards of fabric for the curtain.