Assuming the equation is 11/5 + (1/3)t = 7:

11/5 + (1/3)t = 7                                 Given

15[11/5 + (1/3)t] = 7(15)                      Multiply both sides by 15

15(11/5) +15[(1/3)t] = 7(15)                 Distribute the 15

33 + 5t = 105                                        Simplify

33 + 5t - 33 = 105 - 33                          Subtract 33 from each side

5t = 72                                                 Simplify

5t/5 = 72/5                                           Divide both sides by 5

t = 72/5                                                Simplify

Assuming the equation is 11/5 + 1/(3t) = 7, it is a rational equation:

11/5 + 1/(3t) = 7                                    Given

(15t)[11/5 + 1/(3t)]= 15t(7)                     Multiply both sides by 3t

33t + 5 = 105t                                        Simplify

33t + 5 - 33t = 105t - 33t                         Subtract 33t from both sides

5 = 72t                                                   Simplify

72/5 = 72t/72                                          Divide both sides by 72

72/5 = t                                                  Simplify