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- anonymous

What is the multiplicative inverse of 2 1/2?

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- anonymous

What is the multiplicative inverse of 2 1/2?

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- zepdrix

Hey Audie :)
The inverse of multiplication is division.
Example: The inverse of \(\large\rm \times5\) multiplying something by 5 is \(\large\rm \div5\) dividing by 5.
Division is the same thing as `multiplying by the reciprocal`.
That's the way we would prefer to think of it.
So we would say that the multiplicative inverse of \(\large\rm 5\) is \(\large\rm \frac{1}{5}\).

- zepdrix

So to find the multiplicative inverse, I had to "flip" the fraction.
Oh I guess we would have to think of 5 as \(\large\rm \frac{5}{1}\) in order to flip it.
For your specific problem, you'll need to write your mixed number as an improper fraction before you can flip it.

- zepdrix

\[\large\rm 2\frac{1}{2}=\frac{5}{2}\]And then flip it, ya?
Any confusion there? :O

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