Which of the following is a rational number between 5 and (5)/(14)?(1 point)
A.5 (1)/(3)
B.√26
C.5 (1)/(7)
D.5 (2)/(5)
A. 5 (1)/(3) is a rational number between 5 and (5)/(14)
To find a rational number between 5 and (5)/(14), we need to look for a fraction between the two values given.
Let's compare (5)/(14) with the given options:
A. 5 (1)/(3) is greater than 5, so it doesn't lie between 5 and (5)/(14).
B. √26 is an irrational number, not a rational number.
C. 5 (1)/(7) is greater than 5, so it also doesn't lie between 5 and (5)/(14).
D. 5 (2)/(5) is between 5 and (5)/(14).
Therefore, the rational number between 5 and (5)/(14) is 5 (2)/(5). So, the correct answer is D.