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) About Me  (Show Source):
You can put this solution on YOUR website!
For ANY number of the form a%2Fb, the multiplicative inverse is b%2Fa. In other words, to find the find the multiplicative inverse of any fraction, simply flip the fraction.


Note: if you multiply the number a%2Fb by the the multiplicative inverse b%2Fa you will get 1 since


So the multiplicative inverse of 3%2F7 is 7%2F3


The multiplicative inverse of -4%2F11 is -11%2F4


I'll let you do the rest of the problems involving a simple fraction
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To find the multiplicative inverse of 6%261%2F3, 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 6%261%2F3=%286%2A3%2B1%29%2F3=%2818%2B1%29%2F3=19%2F3


So the multiplicative inverse of 19%2F3 is 3%2F19


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Here's another example:


4%261%2F9=%284%2A9%2B1%29%2F9=%2836%2B1%29%2F9=37%2F9


So the multiplicative inverse of 37%2F9 is 9%2F37



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