Final answer:
Kyle painted 9/10 of the door.
Step-by-step explanation:
Kyle painted 2/5 of the door red and 1/2 of the door blue. To find the total fraction of the door that Kyle painted, we need to add the fractions together. First, we need to find a common denominator for 2/5 and 1/2. The least common multiple of 5 and 2 is 10, so we can convert the fractions to have a denominator of 10.
2/5 is equivalent to 4/10. So, Kyle painted 4/10 of the door red.
1/2 is equivalent to 5/10. So, Kyle painted 5/10 of the door blue.
To find the total fraction of the door that Kyle painted, we add 4/10 and 5/10. This gives us 9/10. Therefore, Kyle painted 9/10 of the door.