Answer:
[tex]12\frac{1}{8}\ yd[/tex]
Step-by-step explanation:
we know that
The total fabric that Mrs. Lin needs is equal to
[tex]3(1\frac{2}{3})+2\frac{5}{8}+2(2\frac{1}{4})[/tex]
Convert mixed number to an improper fraction
[tex]1\frac{2}{3}=1+\frac{2}{3}=\frac{5}{3}[/tex]
[tex]2\frac{5}{8}=2+\frac{5}{8}=\frac{21}{8}[/tex]
[tex]2\frac{1}{4}=2+\frac{1}{4}=\frac{9}{4}[/tex]
substitute
[tex]3(\frac{5}{3})+\frac{21}{8}+2(\frac{9}{4})[/tex]
[tex]5+\frac{21}{8}+\frac{9}{2}[/tex]
[tex]\frac{40+21+36}{8}=\frac{97}{8}\ yd[/tex]
Convert to mixed number
[tex]\frac{97}{8}\ yd= \frac{96}{8}+\frac{1}{8}=12\frac{1}{8}\ yd[/tex]