1. Sam walks 3/8 km to school. After school, he walks another (x+1)/3 km to get to work. What simplified rational expression describes the total length of both of his walks?

The answer to your question is (17 + 8x)/24

Step-by-step explanation:

Data

First distance = 3/8 km

second distance = (x + 1)/3 km

Process

1.- Sum both distances

                    3/8 + (x + 1)/3

- Find the Least common factor

                    8   3   2

                    4   3   2

                    2   3   2

                     1   3   3

                          1

LCF = 2x 2 x 2 x 3 = 24

- Sum the fractions

                  3/8 + (x + 1)/3 = (9 + 8(x + 1)) / 24

-Simplification                                          

                                         = (9 + 8x + 8) / 24

-Result

                                         = (17 + 8x)/24