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The reciprocal of a fraction is obtained by interchanging the numerator and the denomator, i.e. by inverting the fraction. So, the number 3 (which is 3/1) would have a reciprocal of 1/3 And the reciprocal of 1/3 would be 3/1 ... or 3.
Oh, dude, the reciprocal of a number is just 1 divided by that number. So, the reciprocal of 2 is 1/2, and the reciprocal of 1/3 is 3. So, the reciprocal of 2 and 1/3 is 1/(2 + 1/3) which simplifies to 3/7. Easy peasy, like basic math stuff, you know?
Actually the reciprocal of any number is that number in the denominator instead of in the numerator. The reciprocal of -3 is 1 over -3.
Flip the numerator and denominator. For example, reciprocal of 3/2 is 2/3.
The reciprocal of 7 1/3 is 3/22 or three twenty-secondths.