as always, the multiplicative inverse of x is 1/x
So, what is the reciprocal of a fraction, say, 2/3 ?
So, what is the reciprocal of a fraction, say, 2/3 ?
Alrighty, let's talk about the multiplicative inverse! The multiplicative inverse of a number is basically its special soulmate that, when multiplied together, results in the magical number 1. For the fraction C/D, the multiplicative inverse is simply D/C. Why is this the case, you ask? Well, think about it this way: when you multiply a number by its multiplicative inverse, the denominator and numerator just swap places, like a magical number flip-flop. And when you multiply these swapped numbers together, you get the beautiful number 1, which is like the unicorn of the number world. So basically, a number and its multiplicative inverse are like long-lost math soulmates that bring harmony and beauty when multiplied together. It's a beautiful love story, really.
To find the multiplicative inverse of a fraction C/D, you simply need to interchange the numerator and denominator. So, the multiplicative inverse of C/D is D/C.
The relationship between a number and its multiplicative inverse is quite simple. When you multiply a number by its multiplicative inverse, the product is always equal to 1. For example, if you take the number 2 and multiply it by its multiplicative inverse 1/2, you'll get 2 * (1/2) = 1. This holds true for any number, except for 0. The multiplicative inverse of 0 does not exist, as you cannot divide any number by 0 to obtain 1.