SOLUTION: My questions are...what are the multiplicative inverse of these numbers: 3/7 -4/11 7/2 9/5 -5 6 1/3 4 1/9 17 1/2 -15 2/3

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Question 170722: My questions are...what are the multiplicative inverse of these numbers:
3/7
-4/11
7/2
9/5
-5
6 1/3
4 1/9
17 1/2
-15 2/3

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
For ANY number of the form , the multiplicative inverse is . In other words, to find the find the multiplicative inverse of any fraction, simply flip the fraction.


Note: if you multiply the number by the the multiplicative inverse you will get 1 since


So the multiplicative inverse of is


The multiplicative inverse of is


I'll let you do the rest of the problems involving a simple fraction
--------------------------


To find the multiplicative inverse of , we need to convert this mixed fraction into an improper fraction.

To do that, multiply the denominator 3 by the whole number 6 to get 18. Now add 18 to the numerator 1 to get 19. So


So the multiplicative inverse of is


-----------------------------------

Here's another example:





So the multiplicative inverse of is



I'll let you do the rest of the problems involving a mixed fraction

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