Question

Sherie says, "There is no rational number between 5/7 and 6/7." Tim replies, "Yes there is because of 11/14 is between them." Is Tim right?

A) No, because the denominators are different.
B) No, since there is no number between 5 and 6.
C) Yes, since 5/7 = 10/14 and 6/7 = 12/14.
D) Yes, because of 5/7 + 6/7 = 11/14, which is between them.

Answer 1

C. because a rational number must be able to be expressed as a fraction

Answer 2

C. Yes.

Explanation:

5/7 = 10/14

6/7 = 12/14

- 11/14 is a rational number between these.