To determine which of the options is a rational number between 5 and 514, we can convert each of the options into decimal form or evaluate their values.
- 5 1/3 = 5 + 1/3 = 5.333...
- 5 1/7 = 5 + 1/7 ≈ 5.142857...
- 5 2/5 = 5 + 2/5 = 5.4
- √26 (the square root of 26) is approximately 5.099...
Now let's see if any of these numbers fall between 5 and 514:
- 5 1/3 = 5.333...
- 5 1/7 ≈ 5.142857...
- 5 2/5 = 5.4
- √26 ≈ 5.099...
All four options (5 1/3, 5 1/7, 5 2/5, and √26) are rational numbers that fall between 5 and 514.
However, if you want just one option, any of them can be considered correct, but usually the first option is chosen. Therefore, the answer could be:
5 1/3 (as a standard choice).
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