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To find the reciprocal of a non-zero fraction, simply swap the numerator and the denominator. So R(2/3) = 3/2 : where R() stands for "the reciprocal of" ... whatever is in the brackets.

Remember that 12 = 12/1

so R(12) = R(12/1) = 1/12.

If you have a mixed fraction then there is one additional step you need to do first and that is to convert it to an improper (or top-heavy) fraction.

So R(23/4) = R(11/4) = 4/11

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