The opposite reciprocal of a number is found by taking the reciprocal (flipping the numerator and denominator) and then changing the sign.
For the fraction 3/2, the reciprocal is 2/3. To find the opposite reciprocal, we need to change the sign. Therefore, the opposite reciprocal of 3/2 is -2/3.
In summary, when given a fraction like 3/2, the steps to find the opposite reciprocal are:
- Find the reciprocal: 2/3
- Change the sign: -2/3
Thus, the opposite reciprocal of 3/2 is -2/3.