Simplify 1 - (7/3 x 5/4) + 2/5

Answer Details

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.