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Solve: -(19/2) ÷ 38/7

1 Answer

2 votes

Answer:

(-1)/28

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

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