Rachel measured the length of a leaf was [tex]\frac{16}{3}[/tex] inch.
Solution:
Let us find how long the leaf Rachel measured.
Julie measured the length of a leaf = [tex]\frac{2}{3}[/tex] inch
Rachel measured the length of a leaf = 8 times of length Julie measured
[tex]$=8\times\frac{2}{3}[/tex]
[tex]$=\frac{8}{1}\times\frac{2}{3}[/tex]
Using fractional multiplication rule: [tex]$\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}[/tex]
[tex]$=\frac{8\times2}{1\times3}[/tex]
[tex]$=\frac{16}{3}[/tex] inch
Hence, Rachel measured the length of a leaf was [tex]\frac{16}{3}[/tex] inch.