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