The first three consecutive integers are \ \

Than the sum of the reciprocals of three consecutive integers is 47/60.

The common denominator  of x-1, x, x+1 is (x-1)(x)(x+1)

Cancel the possible terms and add remaining terms \ \ \ \

Appliy cross method

Bring all the terms to one side

Change the symbols

Substitute the value of x = 1

Is not satisfying

By substituting the value of x = 4

Therefore the value of x is satisfying

Therefore the value of x = 4

Therefore the required integers are