Brandon is running errands for his mother.
It is
1
4
mile from his house to the library and
2
3
mile from the library to the grocery store.
Brandon claims that he walks a total of
11
12
mile if he goes from his house to the library to the grocery store.
Which of the following shows whether Brandon is correct and why?

A.
Yes; the correct distance is
11
12
mile, because
1
4
+
2
3
=
3
12
+
8
12
=
11
12
.

B.
No; the correct distance is
10
12
mile, because
1
4
+
2
3
=
4
12
+
6
12
=
10
12
.

C.
No; the correct distance is 1 mile, because
1
4
+
2
3
=
4
12
+
8
12
=
12
12
=
1
.

D.
No; the correct distance is
1
1
12
miles, because
1
4
+
2
3
=
4
12
+
9
12
=
13
12
=
1
1
12
.