Multiplicative inverse means the same thing as reciprocal. For example, themultiplicative inverse (reciprocal) of 12 is and the multiplicative inverse(reciprocal) of is . Note: The product of a number and its multiplicative inverseis 1.
so let's assume multiplicative inverse of 3/8 is x
So x*(3/8)=1
So x= 8/3
8/3 is the multiplicative inverse of 3/8.