# How do you find the reciprocal of 3?

##### 2 Answers

The reciprocal of a number is another word for its **multiplicative inverse**, or the number which gives 1 when multiplied by the original number.

To find the reciprocal of any number, simply take 1 and divide it by that number. So, the reciprocal of

#1 div 3 = color(red)(1/3)#

We can check that this is the multiplicative inverse of

#color(limegreen)3 * color(red)(1/3) = cancel3 * 1/cancel3 = 1 #

Hope this helps!

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As a side note for future problems, you may want to remember that the number

The reciprocal of

#### Explanation:

The reciprocal of a number is the same as its multiplicative inverse.

(The multiplying opposite)

It is the number 'turned upside down'.

The product of a number and its reciprocal is always

So in this case, we can write

The reciprocal is

Note that