There are 1296 square inches in a square yard
To convert those units, let's use rules of three
For the gray fabric:
Therefore,
[tex]x=\frac{523\times1}{1296}\rightarrow x=0.40yd^2[/tex]
Rounded to the nearest quarter yard,
[tex]0.5yd^2\rightarrow\frac{1}{2}yd^2[/tex]
For the burgundy:
Therefore,
[tex]y=\frac{1318\times1}{1296}\rightarrow y=1.02yd^2[/tex]
Rounded to the nearest quarter yard,
[tex]y=1yd^2[/tex]
Therefore, she'll have to buy
[tex]1\text{ }\frac{1}{2}yd^2[/tex]
in total
