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

Sagot :

Answer:

-1/11

Step-by-step explanation:

A reciprocal means the reverse of a number. So the numerator becomes a one and the number goes in the denominator (for example 2 becomes 1/2). Or vice versa: the one becomes the denominator and the denominator becomes the numerator (for example 1/2 becomes 2/1 which is 2).

The reciprocal of -1/5 is -5.

The reciprocal of -1/6 is -6.

The sum of both reciprocals: -5 + -6 = -11

The reciprocal of the sum -11 is -1/11.