Final answer:
Terry spent 1 hour on research.
Step-by-step explanation:
To determine how many hours Terry spent on research, we need to find the fraction of the total time Terry spent on research. Terry spent 2/5 of the total time on research, and the total time spent is 2 1/2 hours.
First, we need to convert 2 1/2 hours into an improper fraction. To do this, multiply the whole number, 2, by the denominator of the fraction, 2, and then add the numerator, 1. This gives us 5/2.
Next, we multiply the total time, 5/2 hours, by the fraction representing the time spent on research, 2/5. To multiply fractions, multiply the numerators together, and then multiply the denominators together.
So, multiplying 5/2 by 2/5 gives us (5 * 2) / (2 * 5) = 10/10 = 1.
Therefore, Terry spent 1 hour on research.