How can you make a reciprocal out of a mixed number?

Answer 1

First you need to make the mixed number into a improper fraction. To do this, take the denominator times the number in front. Then add the result to the numerator. Then the improper fraction is that result over the denominator.

_______________________________________________________________

If X is the leading number, D is the denominator, N is the numerator:

X and N/D=(X*D+N)/D

_______________________________________________________________

Then take this new fraction and flip the numerator and the denominator:

D/(X*D+N)

_______________________________________________________________

So to get the reciprocal of a mixed number in one step, the reciprocal's: numerator is equal to the denominator of the mixed number; denominator is equal to the leading number multiplied by the denominator added to the numerator.