Amman hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. How many miles of trail does Amman hike per hour?
2.75 / 1.25 = x/1
Cross multiply and solve for x.
To find the number of miles of trail Amman hikes per hour, we need to convert the time from hours and minutes to just hours.
To convert 1 hour and 15 minutes to hours, we divide the number of minutes by 60. So,
15 minutes = 15/60 = 1/4 hour
Now, we add this to the 1 hour.
1 hour + 1/4 hour = 4/4 hour + 1/4 hour = 5/4 hour
Now that we have the time in hours, we divide the distance of 2 3/4 miles by 5/4 hour.
To divide a fraction by a fraction, we multiply by the reciprocal.
So, 2 3/4 miles ÷ 5/4 hour = 2 3/4 miles × 4/5 hour
Now, let's multiply the fractions.
2 3/4 miles × 4/5 hour = (11/4) × (4/5)
We can simplify this by canceling out the common factor of 4.
(11/1) × (1/5) = 11/5
Therefore, Amman hikes approximately 11/5 or 2.2 miles of trail per hour.