in one hour ed used 2/5 of the time to complete his homework and 1/4 of the time to check his email. how much time did he spend completing and checking email? write your answer as a fraction. show your work
Let's assume Ed spent x hours on his homework.
He used 2/5 of x to complete his homework, which is equal to (2/5)x.
He used 1/4 of x to check his email, which is equal to (1/4)x.
So, the total time Ed spent completing and checking email is (2/5)x + (1/4)x.
To add these fractions, we need to find a common denominator.
The common denominator of 5 and 4 is 20.
Multiplying the first fraction by 4/4 and the second fraction by 5/5, we get:
(2/5)x + (1/4)x = (8/20)x + (5/20)x = (8x + 5x) / 20 = 13x / 20.
Therefore, Ed spent 13x/20 hours completing and checking email.