Rachel is training for a cycling tournament. She can bike 2 1/4 miles in 1/5 of an hour. At this rate, how many miles can she bike in 1 1/3 hours?(2 points)
Responses
15 miles
15 miles
11 1/4 miles
12 7/12 miles
miles
miles
45 miles
To find out how many miles Rachel can bike in 1 1/3 hours, we need to find out how many miles she can bike in 1/5 of an hour and then multiply by the total number of 1/5 hour intervals in 1 1/3 hours.
Rachel can bike 2 1/4 miles in 1/5 of an hour.
To find out how many 1/5 hour intervals are in 1 1/3 hours, we can convert 1 1/3 hours to a fraction with a denominator of 5.
1 1/3 hours is equal to 4/3 hours, which is equal to (4/3) * (5/5) = 20/15 hours.
Now, we can multiply the number of miles Rachel can bike in 1/5 hour by the number of 1/5 hour intervals in 1 1/3 hours:
(2 1/4 miles) * (20/15 intervals) = 9/2 * 4/3 = 36/6 miles
Simplifying the fraction, we get:
36/6 = 6 miles
Therefore, Rachel can bike 6 miles in 1 1/3 hours.