To solve this equation, we need to convert all the mixed numbers to improper fractions.
2 3/5 = (2 * 5 + 3)/5 = 13/5
1 1/4 = (1 * 4 + 1)/4 = 5/4
Now we can subtract the fractions:
13/5 - 1 - 5/4
To combine the fractions on the right side, we need to find a common denominator. The common denominator of 5 and 4 is 20.
Multiplying the numerator and the denominator of 13/5 by 4 gives us 52/20.
Multiplying the numerator and the denominator of 5/4 by 5 gives us 25/20.
Therefore, 13/5 - 1 - 5/4 = 52/20 - 20/20 - 25/20
Combining the fractions gives us:
(52 - 20 - 25) / 20 = 7/20
Since 7/20 is a proper fraction, let's convert it back to a mixed number:
7/20 = 0 7/20 = 0 + 7/20 = 7/20
Therefore, 2 3/5 - 1 1/4 = 1 7/20.
The correct answer is A. 1 7/20.