The area of a rectangular patio is 5 5/8 square yards, and its length is 1 1/2 yards. what is the width in yards

Area=legnth times width

area=5 and 5/8

legnth=1 and 1/2

convert all to imporopoer fractions

5 and 5/8=5+5/8=40/8+5/8=45/8

1 and 1/2=1+1/2=2/2+1/2=3/2

area=45/8

legnth=3/2

area=legnth times width

45/8=3/2 times width

multiply both sides by 2/3 to clear fraction (3/2 times 2/3=6/6=1 and 1 times width=width so)

90/24=width

simplify

15/4=width

15/4=12/4+3/4=3+3/4=3 and 3/4

width=3 and 3/4 yards