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Is 8/9 the multiplication inverse of -1 1/8 ? Why or why not?

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Is 8/9 the multiplication inverse of -1\(\frac{1}{8}\)? Why or why not?

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-1\(\frac{1}{8}\) = \(\frac{-7}{8}\)

[Multiplicative inverse ⟹ product should be 1]

According to the question,

8/9 × (-7/8) = -7/9 ≠ 1

Therefore, 8/9 is not the multiplicative inverse of 1\(\frac{1}{8}\) = \(\frac{-7}{8}\).

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