yoshio is cutting fabric to make tenugui he needs a total of 5^3/4 yards of fabric he already has 2^1/4 yards of fabric yoshio wants to know how many more yards of fabric he should buy let y be the number of fabric yoshio should buy

First, let's convert all the fractions to the same denominator:

5^3/4 = 20/4 + 3/4 = 23/4
2^1/4 = 8/4 + 1/4 = 9/4

Now, we can find the difference between the total amount of fabric needed and the amount Yoshio already has:
23/4 - 9/4 = 14/4 = 3.5 yards

Therefore, Yoshio should buy 3.5 yards of fabric to make the tenugui.