# What is the reciprocal of -5x?

The reciprocal of

`x = 1/x `

The reciprocal of `(-x) = 1/(-x) = - 1/x`

So, the reciprocal of `(-5x) = -1/(5x)`

`-1/(5x) = -1/5 . 1/x = (-0.2)/x`

`therefore` the reciprocal of `(-5x)` is `(-0.2)/x`

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You need to obtain the reciprocal of the number `(-5x),` hence, you need to flip the number over, or to divide 1 by the number `(-5x), ` such that:

`1/(-5x)`

Using the properties of multiplication of fractions, yields:

`1/(-5x) = (1/(-5))*(1/x) = -0.2*(1/x) = -0.2/x`

Hence, the reciprocal of the given number `(-5x) ` is -`0.2/x.`

Approved by eNotes Editorial Team