The rate of the Perseid is 1 meteor in 1 1/5 minutes
The rate of the Leonid is 1 meteor in 4 2/3 minutes
To find how many more the divide the two times to find how many 1 1/5 in 4 2/3
[tex]\begin{gathered} \because4\frac{2}{3}=\frac{4\times3+2}{3}=\frac{12+2}{3}=\frac{14}{3} \\ \because1\frac{1}{5}=\frac{1\times5+1}{5}=\frac{5+1}{5}=\frac{6}{5} \end{gathered}[/tex]
Divide the 2 improper fractions to find the answer
[tex]\frac{\frac{14}{3}}{\frac{6}{5}}=\frac{14}{3}\times\frac{5}{6}=\frac{70}{18}=\frac{35}{9}[/tex]
Change it to a mixed number
[tex]\frac{35}{9}=3\frac{8}{9}[/tex]