Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour?
3 * 4 1/2 = 3 * 9/2 = 27/2 = 13 1/2
well, 1 = 3 * 1/3, so 3 * 4 1/2 = 13 1/2 km
To find out how many kilometers Nina can run in 1 hour, we will first determine how many kilometers she can run in 1/3 of an hour, and then multiply that by 3 to find the total distance she can run in 1 hour.
Nina can run 4 1/2 kilometers in 1/3 of an hour.
To solve this, we can convert the mixed number 4 1/2 into an improper fraction.
4 1/2 = (4 * 2 + 1) / 2 = 9/2
Now, we can calculate the distance Nina can run in 1/3 of an hour:
Distance in 1/3 of an hour = (9/2) * (1/3) = 9/6 = 3/2 kilometers
Finally, to find the distance Nina can run in 1 hour, we multiply the distance she can run in 1/3 of an hour by 3.
Distance in 1 hour = (3/2) * 3 = 9/2 = 4.5 kilometers
Therefore, Nina can run 4.5 kilometers in 1 hour.