5 and 4/5 = 29/5 and reciprocal = 5/29
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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.
Division by 1/4 is equivalent to multiplication by its reciprocal, 4. So the answer is 5/16*4 = 5/4
The reciprocal of 5/4 is 4/5.
The reciprocal of 5/8 is 8/5 The reciprocal of a fraction is its inverted form, e.g. the reciprocal of a/b is b/a.