Question

What is the reciprocal of -2/3?

Answer 1

`-3/2`

The reciprocal means the multiplicative inverse of a number.
The multiplicative inverse `n'` of a number `n` is a number that when multiplied to `n`, results to the multiplicative identity which is 1.

That is...

`n'*n = 1`

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`-2/3x = 1`

`-2x = 3`

`x = -3/2`

Answer 2

The Reciprocal of `-2/3` is `-3/2`.

Explanation:

Suppose `n` is a number.
`:.` Reciprocal of that number is `1/n`.

`:.` Reciprocal of `-2/3` `=1/((-2/3))` `=-3/2`. (answer).

Information : The product of a number and its reciprocal is always equal to 1.

`:.` `-2/3 xx-3/2 = 1`.

Answer 3

`-3/2`

Explanation:

Remember:

Reciprocal of a number `color(green)(x/y` is `color(brown)(y/x`

So,
The reciprocal of `color(green)(-2/3` is `color(brown)(-3/2`