Answer:
[tex]\frac{7}{18}[/tex] of the distance
Step-by-step explanation:
We know that a ferry traveled [tex]\frac{1}{6}[/tex] of the distance between two ports in [tex]\frac{3}{7}[/tex] hours.
In order to calculate what fraction of the distance between the two ports can the ferry travel in one hour we can do the following reasoning :
The rate of the ferry is the same at any time.
The ferry will travel [tex]\frac{1}{6}[/tex] of the distance in [tex]\frac{3}{7}[/tex] hours.
If we divide each fraction by 3 ⇒
[tex]\frac{\frac{1}{6}}{3}=\frac{1}{18}[/tex] and [tex]\frac{\frac{3}{7}}{3}=\frac{1}{7}[/tex]
We do this to obtain a ''1'' in the numerator of the second fraction (the hours fraction). Now, we can say that :
The ferry will travel [tex]\frac{1}{18}[/tex] of the distance in [tex]\frac{1}{7}[/tex] hours.
Finally, we multiply each fraction by 7 (in order to obtain the distance for 1 hour) ⇒
[tex](\frac{1}{18}).7=\frac{7}{18}[/tex] and [tex](\frac{1}{7}).7=1[/tex]
We found out that the ferry will travel [tex]\frac{7}{18}[/tex] of the distance in 1 hour.
