The reciprocal of 7/6 is 6/7.
This is because you can find the reciprocal for a fraction by dividing 1 by that fraction. In the above problem, this would be 1/(7/6), which equals 6/7. Another and typically simpler way to approach reciprocal problems is by simply switching the values of the numerator and the denominator. By this method, we still get the answer of 6/7.
Hope this helps!