Flip it upside down. Now you have negative three over four. That's your multiplicative inverse (reciprocal) -3/4
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The multiplicative inverse of -3 is -(1/3) or negative one-third. The multiplicative inverse of a number is the number that you multiply it by to get a result of 1 (the multiplicative identity). So, since -3 times -(1/3) is 1, -(1/3) is the multiplicative inverse of -3. Similarly, +3 is the ADDITIVE inverse of -3. The additive inverse of a number is the number you add to it to get a result of 0 (the additive identity). So, since -3 + (+3) = 0, +3 is the additive inverse of -3. The original answer given here was that the multiplicative inverse of -3 is +3, which is flat incorrect.
The multiplicative inverse of -24/7 is -7/24
38/7 x 7/38 = 1 = multiplicative inverse 38/7 + -38/7 = 0 = additive inverse
3 1/2 = 7/2 in improper fractionmultiplicative inverse is the reciprocal of 7/2 = 2/7
3 x 1/3 = 1 (1/3 is multiplicative inverse or reciprocal of 3)