Which of the following is a rational number between 5 and 514?(1 point)
Responses
5/25
5/17
26−−√
5/13
The rational number between 5 and 514 is 5/13.
To determine which of the options is a rational number between 5 and 514, let's evaluate each option:
1. 5/25: Simplifying this fraction would give us 1/5, which is less than 5. Therefore, this option is not between 5 and 514.
2. 5/17: This fraction is also less than 5, so it is not between 5 and 514.
3. √26: Evaluating the square root of 26 gives us approximately 5.1, which is between 5 and 514. However, it is not a rational number because √26 cannot be expressed as a fraction.
4. 5/13: This fraction is greater than 5, but less than 514, making it a rational number within the desired range.
Therefore, the option that is a rational number between 5 and 514 is 5/13.