The reciprocal of a number is simply 1 divide by that number. A number, multiplied by its reciprocal, is equal to one.However, in the case of fractions, you can get the reciprocal simply by exchanging top and bottom. In this case, the reciprocal of 5/4 is 4/5.
This works for proper and improper fractions; in the case of a mixed fraction, you have to convert that into an improper fraction first.
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5 over 8
The reciprocal is just the "flipped" version of the fraction. The reciprocal of -4/3 is -3/4 (negative three fourths).
negative 6 over 5
5/21
The reciprocal of 1 over 4 is 4 over 1 because you flip the fraction and put the 4 on top and the 1 on the bottom and u have 4 over 1.