The reciprocal of a number is the number obtained when you divide 1 by the orignal number. For example the reciprocal of 3 is 1 divided by 3, which equals 1/3. When you have a fraction, the reciprocal can be obtained by swifting the numerator and the denominator, this is the reciprocal of a/b is equal to b/a. Then the reciprocal of 7/10 is 10/7.