Let's simplify the expression step by step:
(-2 + 17/12) / ((3/8) - (1/6)) - 3 + 1/4
To simplify the numerator first:
-2 + 17/12 = -24/12 + 17/12 = -7/12
Now, simplify the denominator:
(3/8) - (1/6) = (9/24) - (4/24) = 5/24
Now, substitute the simplified numerator and denominator back into the expression:
(-7/12) / (5/24) - 3 + 1/4
To divide by a fraction, multiply by the reciprocal:
(-7/12) (24/5) - 3 + 1/4= (-7 24)/(12 * 5) - 3 + 1/4= -168/60 - 3 + 1/4
Simplify the fraction and add the terms:
= -14/5 - 3 + 1/4= (-56 - 60 + 15)/20= -101/20
Therefore, the simplified expression is -101/20.
Let's simplify the expression step by step:
(-2 + 17/12) / ((3/8) - (1/6)) - 3 + 1/4
To simplify the numerator first:
-2 + 17/12 = -24/12 + 17/12 = -7/12
Now, simplify the denominator:
(3/8) - (1/6) = (9/24) - (4/24) = 5/24
Now, substitute the simplified numerator and denominator back into the expression:
(-7/12) / (5/24) - 3 + 1/4
To divide by a fraction, multiply by the reciprocal:
(-7/12) (24/5) - 3 + 1/4
= (-7 24)/(12 * 5) - 3 + 1/4
= -168/60 - 3 + 1/4
Simplify the fraction and add the terms:
= -14/5 - 3 + 1/4
= (-56 - 60 + 15)/20
= -101/20
Therefore, the simplified expression is -101/20.