Question

Find the reciprocal of the following number:

-21/23
show the work

Answer 1

What work do you need to show? $$-\frac{23}{21}$$

Answer 2

Its definitional

Answer 3

Here's a rather simple explanation.
Assume d is an integer and d ≠ 0. Then the reciprocal of d is 1/d.
Any number multiplied by its reciprocal is 1.
The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.

Answer 4

the notion of reciprocal need not be restricted to the integers

Answer 5

so its -23/21

Answer 6

how do i get that

Answer 7

You just flip it.

Answer 8

exactly...flip the numbers....reciprocal of 2/3 would be 3/2

Answer 9

to add to AlwaystheBookworm's definition

if any number is of the form x/y, where x and y are whole numbers, then the reciprocal of that number is y/x

this is assuming neither x or y is equal to 0

Answer 10

Oh you're right jim_thompson5910.
I should have included the bit about neither x or y equaling 0.