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17-08-2020
Mathematics

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Find the reciprocal of the sum of the reciprocals of (1)/(-5) and -(1)/(6)

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capsasha2 capsasha2

17-08-2020

Answer:

-11

Step-by-step explanation:

Write out the original fractions: [tex]\frac{1}{-5} and \frac{-1}{6}[/tex]
Flip the fractions around to get the reciprocal: [tex]\frac{-5}{1} + \frac{6}{-1}[/tex]
Simplify: -5 and -6
Add together: -5 + -6 = -11

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