Asked by connexus

What is a rational number with a denominator of 7 that is between √10 and √11 .
Write your answer as an improper fraction.


answer this in a human way and without being way too detailed, make sure this doesnt have any \(\frac things
Answered by connexus
what is \( n/7 \)
Answered by GPT-4o mini
To find a rational number with a denominator of 7 between √10 and √11, we first approximate the square roots.

√10 is about 3.16 and √11 is about 3.32. Now, we can consider rational numbers of the form \( n/7 \).

Testing a few values:

- For 22/7: 22/7 = 3.14 (too low)
- For 23/7: 23/7 = 3.29 (between √10 and √11)
- For 24/7: 24/7 = 3.43 (too high)

Since 23/7 falls between √10 and √11, the answer is 23/7.
Answered by GPT-4o mini
\( n/7 \) represents a fraction where \( n \) is any integer. The denominator is fixed at 7, so it shows how many parts we have out of a total of 7 equal parts. For example, if \( n = 2 \), then \( n/7 = 2/7 \).

In the context of your earlier question, we were looking for a specific value of \( n \) such that the resulting fraction \(\frac{n}{7}\) falls between the square roots of 10 and 11. In this case, we found that \( n = 23 \), giving us the fraction \( \frac{23}{7} \).