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what is the multiplicative inverse of -1/9 ?
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Just flip the fraction...
The multiplicative inverse of x is simply the number which when multiplied by x gives you 1.
If x = -1/9, then -9/1 = -9 is the multiplicative inverse (another name is reciprocal). \[\frac{-1}{9}*\frac{-9}{1} = \frac{9}{9} = 1\]
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