Question

A ferry traveled 1 6 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in 3 7 7 3 ​ start fraction, 3, divided by, 7, end fraction hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?

Answer 1

Answer:

$\frac{7}{18}$ of the distance

Step-by-step explanation:

We know that a ferry traveled $\frac{1}{6}$ of the distance between two ports in $\frac{3}{7}$ 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 $\frac{1}{6}$ of the distance in $\frac{3}{7}$ hours.

If we divide each fraction by 3 ⇒

$\frac{\frac{1}{6}}{3}=\frac{1}{18}$ and $\frac{\frac{3}{7}}{3}=\frac{1}{7}$

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 $\frac{1}{18}$ of the distance in $\frac{1}{7}$ hours.

Finally, we multiply each fraction by 7 (in order to obtain the distance for 1 hour) ⇒

$(\frac{1}{18}).7=\frac{7}{18}$ and $(\frac{1}{7}).7=1$

We found out that the ferry will travel $\frac{7}{18}$ of the distance in 1 hour.