Yes.
The reciprocal of a fraction is mostly flipping the fraction Ex. 5/2 the reciprocal would be 2/5, you're mostly just flipping it.
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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.
1/6 + 1/5 the common denominator is 30 = (1 x 5)/(6 x 5) + (1 x 6)/(5 x 6) = 5/30 + 6/30 = (5 + 6)/30 = 11/30