11/30 bags of mulch is needed.
Explanation:
We have to find the number of bags of mulch.
7 (1/2) sq. yards need 2(3/4) bags of mulch.
So one sq. yd need 2(3/4) / 7(1/2)
We have to change the mixed fraction into improper fraction and then dividing them we will get the answer.
2(3/4) = ((2×4)+ 3)/4 = (8+ 3)/4 = 11/4
7(1/2) = ((7×2)+1)/2 = (14+1)/2 = 15/2
11/4 ÷ 15/2
It change into multiplication as,
11/4 × 2/15 = 11/30 bags of mulch is needed.