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