To simplify the expression 1 - (7/3 x 5/4) + 2/5, we first need to evaluate the product of the fractions inside the parentheses:
7/3 x 5/4 = (7 x 5)/(3 x 4) = 35/12
Substituting this value back into the original expression, we get:
1 - 35/12 + 2/5
To combine the fractions, we need to find a common denominator. The least common multiple of 12 and 5 is 60, so we can convert the fractions as follows:
1 = 60/60
35/12 = (35 x 5)/(12 x 5) = 175/60
2/5 = 24/60
Substituting these values back into the expression, we get:
60/60 - 175/60 + 24/60 = -91/60
Therefore, the simplified form of the expression is -91/60.
Therefore, the correct answer is: -79/60.