Multiplicative inverse

Explain why the reciprocal of - 1 1/17 is the multiplicative inverse of - 17/18.

Correct answer:

i =  -0.9444

Step-by-step explanation:

a=1117=1+117=1⋅ 17+117=1817≐1.0588 b=−a=−1.0588=−1817=−1117≐−1.0588  i=1/b=1/(−1.0588)=−1718=−0.9444

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