The reciprocal of a fraction is simply the reverse position of the original fraction, its numerator and denominator. It is represented by the formula of 1/number (fraction). To get the reciprocal of the number, divide one by the fractional number. You are given the number 6/5. So you have a numerator of 6 and a denominator of five. Simply swap them and you get the new numerator as 5 and the new denominator as 6. Or you can just divide 1/(6/5) then you will get 5/6.