In a science lab,julie measured the length of a leaf as 2/3 of an inch.Rachel measured the length of a leaf that was 8 times as long as the leaf julie measured how long was the leaf rachel measured?

Respuesta :

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.