(4/7) + (1/3) = 0.9047619047619 which = 19/21
now list the factors of the numerator and the denominator
19 = 1
—-
21 = 1; 3; 7
They both have a common factor of 1.
Divide 19 by its common factor
19/1 = 1
Divide 21 by its common factor
21/1 = 21
So the simplest form is 19/21
Hope that helps!! :)