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
[tex]\frac{\text{may}}{\text{noah}}=\frac{\frac{27}{4}}{\frac{9}{2}}[/tex][tex]\frac{may}{noah}=\frac{27}{18}=\frac{3}{2}[/tex][tex]\begin{gathered} \text{noah = }\frac{2}{3}\text{may} \\ \text{mays ride = }\frac{3}{2}\text{noah' ride} \end{gathered}[/tex]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.