Question

Question #a306e

Answer 1

The reciprocal or multiplicative inverse of `a/b` is `b/a`

Explanation:

You seem to have mixed two names together.

Every number has a reciprocal, which can also be called its multiplicative inverse.

'Inverse' implies 'opposite'

A number multiplied by its multiplicative inverse will give `0`
To find the multiplicative inverse, simply invert the number.

(`0` is the identity element for multiplication and division)

`cancel2/cancel3 xxcancel3/cancel2 = 1`

The multiplicative inverse of 6 is `1/6`

The multiplicative inverse of `-12/17` is `-17/12`

The multiplicative inverse of `pi` is `1/pi`

The reciprocal of `a/b` is `b/a`

The reciprocal of `13/4` is `4/13`