What is the absolute difference between additive inverse and multiplicative inverse of 2/3. Express your answer as a common fraction.
The additive inverse to 2/3 is -2/3 because the additive inverse of a number adds together with the number to get 0. The multiplicative inverse is simply the reciprocal of the number, which is 3/2. The absolute difference is the absolute value of the difference of 2 numbers. So we have |3/2 - (-2/3)|, which is |3/2+2/3|, which gives us our answer of 13/6.