The quilt require 10 1/2 yards of fabric.
He has two pieces 4 1/4 and 2 1/2
So, the total yards that he has =
[tex]4\frac{1}{4}+2\frac{1}{2}=\frac{17}{4}+\frac{5}{2}=\frac{17}{4}+\frac{10}{4}=\frac{27}{4}=6\frac{3}{4}[/tex]But the quilt need 10 1/2 yards
So, he will need more =
[tex]=10\frac{1}{2}-6\frac{3}{4}=\frac{21}{2}-\frac{27}{4}=\frac{42}{4}-\frac{27}{4}=\frac{42-27}{4}=\frac{15}{4}=3\frac{3}{4}[/tex]so, he will need 3 3/4 yard of fabric.