it is given that,
the distance cover by may is 6 3/4 miles = 27/4 miles,
and fot noah , 4 1/2 miles = 9/2 miles,
so, the relation between the both rides is,
take ratio



thus, Noah's bike ride was2/3 times of Mays bike ride
and
thus, the answer is Mays bike ride was 3/2 times of noah's bike ride.