Solve: - (19/2) : 38/7

(-1) / 28

Step-by-step explanation:

Simplify the following:

((-19) / 2*1/38) / 7

(-19) / 2*1/38 = (-19) / (2*38):

((-19) / (2*38)) / 7

(-19) / (2*38) * 1/7 = (-19) / (2*38*7):

(-19) / (2*38*7)

The gcd of - 19 and 38 is 19, so (-19) / (2*38*7) = (19 (-1)) / (2 (19*2) 7) = 19/19 * (-1) / (2*2*7) = (-1) / (2*2*7):

(-1) / (2*2*7)

2*2 = 4:

(-1) / (4*7)

4*7 = 28:

Answer: (-1) / 28