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What is 5/6 divided by -10/13?

 Oct 30, 2015
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Simplify the following:
5/(6×(-10)/13)

6×(-10)/13 = (6 (-10))/13:
5/(6 (-10))/13

Multiply the numerator of 5/((6 (-10))/13) by the reciprocal of the denominator. 5/((6 (-10))/13) = (5×13)/(6 (-10)):
(5×13)/(6 (-10))

5/(-10) = 5/(5 (-2)) = 1/(-2):
13/(6×-2)

6 (-2)  =  -12:
13/-12

Multiply numerator and denominator of 13/(-12) by -1:
Answer: | 
| (-13)/12

 Oct 30, 2015

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