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  • 16-11-2019
  • Mathematics
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simplify (3/10)(-5/9) what do i get?​

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  • 16-11-2019

Answer:

(-1)/6

Step-by-step explanation:

Simplify the following:

3/10×(-5)/9

3/10×(-5)/9 = (3 (-5))/(10×9):

(3 (-5))/(10×9)

The gcd of -5 and 10 is 5, so (3 (-5))/(10×9) = (3 (5 (-1)))/((5×2) 9) = 5/5×(3 (-1))/(2×9) = (3 (-1))/(2×9):

(3×-1)/(2×9)

3/9 = 3/(3×3) = 1/3:

(-1)/(2×3)

2×3 = 6:

Answer: (-1)/6

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