Question

Which of the following is a rational number between 5 and 514
?(1 point)
Responses

517
5 Start Fraction 1 over 7 end fraction

513
5 Start Fraction 1 over 3 end fraction

525
5 Start Fraction 2 over 5 end fraction

26−−√

Answer 1

To find a rational number between 5 and 514, we can evaluate the options given:

1. **517** - This is greater than 514.
2. **5 (1/7)** - This can be written as \(5 + \frac{1}{7} = 5.142857...\), which is between 5 and 514.
3. **513** - This is greater than 514.
4. **5 (1/3)** - This can be written as \(5 + \frac{1}{3} = 5.3333...\), which is also between 5 and 514.
5. **525** - This is greater than 514.
6. **\( \sqrt{26} \)** - This is approximately \(5.099\), which is also between 5 and 514.

All of the following are rational numbers between 5 and 514:

- \(5 \frac{1}{7}\)
- \(5 \frac{1}{3}\)
- \( \sqrt{26} \)

However, since you only need to identify one such number, the option **5 (1/7)** is a suitable choice.