Answer:
[tex]\frac{5}{8}[/tex] yards.
Step-by-step explanation:
We have been given that Sharyn needs 3 3/8 yards of fabric to make a dress for herself and 2 1/8 yards of the same fabric to make a matching dress for her daughter.
To find the yards of fabric left, we will subtract sum of yards used for both dresses from total fabric.
[tex]6\frac{1}{8}-(3\frac{3}{8}+2\frac{1}{8})[/tex]
Convert mixed fractions into improper fractions:
[tex]\frac{6\times 8+1}{8}-(\frac{3\times8+3}{8}+\frac{2\times8+1}{8})[/tex]
[tex]\frac{49}{8}-(\frac{27}{8}+\frac{17}{8})[/tex]
Since denominators are equals, so we will combine numerators as:
[tex]\frac{49}{8}-(\frac{27+17}{8})[/tex]
[tex]\frac{49}{8}-\frac{44}{8}[/tex]
[tex]\frac{49-44}{8}[/tex]
[tex]\frac{5}{8}[/tex]
Therefore, Sharyn has [tex]\frac{5}{8}[/tex] yards of fabric left.
