Yes.
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Consider any number a/b. The reciprocal of a/b is the number when multiplied by a/b is equal to 1, namely, b/a.
1/4 + 1/5 = 9/20
The reciprocal of a number is the inverse of that number; that is, 1 divided by that number. So, the reciprocal of x is 1/x, and the reciprocal of 1/x is 1/(1/x) = x. (Taking the reciprocal of the...