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
To find the number of miles Rachel can bike in 1 1/3 hours, we need to find the rate at which she bikes in miles per hour.
Since Rachel can bike 2 1/4 miles in 1/5 of an hour, we can calculate her rate as follows:
2 1/4 miles / 1/5 hour = (9/4) miles / (1/5) hour
To divide fractions, we need to multiply by the reciprocal of the divisor:
(9/4) miles * (5/1 hour) = (9 * 5) / (4 * 1) = 45/4
Therefore, Rachel's rate is 45/4 miles per hour.
Now, let's calculate how many miles she can bike in 1 1/3 hours:
(45/4) miles/hour * 4/3 hours = (45 * 4) / (4 * 3) = 45/3
Simplifying the fraction, we get:
45/3 = 15
Therefore, Rachel can bike 15 miles in 1 1/3 hours.